// Numbas version: exam_results_page_options
{"name": "Probability Practice", "metadata": {"description": "<p>Questions on probability including tree and Venn diagrams</p>", "licence": "All rights reserved"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-shuffled", "pickQuestions": 1, "questionNames": ["", "", "", "", "", "", "", "", "", ""], "variable_overrides": [[], [], [], [], [], [], [], [], [], []], "questions": [{"name": "tree1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": [], "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "<p>A student decides to buy a takeaway. The probability of her choosing pizza is {pizza} and the probability of her choosing hotpot is {hotpot}. If she chooses pizza then the probability that she chooses to drink wine is {wine1}. If she chooses hotpot then the probability that she chooses wine is {wine2}.</p>\n<p>By drawing a tree diagram or otherwise, answer the following questions.</p>\n<p></p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"pizza": {"name": "pizza", "group": "Ungrouped variables", "definition": "random(0.1 .. 0.9#0.1)", "description": "<p>prob of choosing pizza</p>", "templateType": "randrange", "can_override": false}, "hotpot": {"name": "hotpot", "group": "Ungrouped variables", "definition": "1-pizza", "description": "", "templateType": "anything", "can_override": false}, "wine1": {"name": "wine1", "group": "Ungrouped variables", "definition": "random(0.2 .. 0.9#0.1)", "description": "", "templateType": "randrange", "can_override": false}, "notwine1": {"name": "notwine1", "group": "Ungrouped variables", "definition": "1-wine1", "description": "", "templateType": "anything", "can_override": false}, "wine2": {"name": "wine2", "group": "Ungrouped variables", "definition": "random(0.2 .. 0.8#0.1)", "description": "", "templateType": "randrange", "can_override": false}, "notwine2": {"name": "notwine2", "group": "Ungrouped variables", "definition": "1-wine2", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["pizza", "hotpot", "wine1", "notwine1", "wine2", "notwine2"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that she chooses pizza and wine?</p>", "minValue": "pizza*wine1", "maxValue": "pizza*wine1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that she chooses hotpot and also wine?</p>", "minValue": "hotpot*wine2", "maxValue": "hotpot*wine2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that she does not choose wine?</p>", "minValue": "pizza*notwine1+hotpot*notwine2", "maxValue": "pizza*notwine1+hotpot*notwine2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Heads and tails", "extensions": [], "custom_part_types": [], "resources": [["question-resources/steve-smith-Zvvu4zRKijE-unsplash.jpg", "/srv/numbas/media/question-resources/steve-smith-Zvvu4zRKijE-unsplash.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Chloe throws a fair coin 3 times.&nbsp;</p>\n<p><img src=\"resources/question-resources/steve-smith-Zvvu4zRKijE-unsplash.jpg\" width=\"242\" height=\"161\"/></p>\n<p>Type your answers as fractions.</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that she gets 3 'heads'?</p>", "minValue": "1/8", "maxValue": "1/8", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that she gets at least one 'tail'?</p>", "minValue": "7/8", "maxValue": "7/8", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Venn2", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "http://localhost:8000/accounts/profile/1/"}, {"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": [], "metadata": {"description": "<p>This question demonstrates a few ways of interacting with a Venn diagram drawn using JSXGraph.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Read the question and move the points to the correct section of the Venn diagram</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"n": {"name": "n", "group": "One point", "definition": "random(-5..5 except 0)", "description": "", "templateType": "anything", "can_override": false}, "ns": {"name": "ns", "group": "Ungrouped variables", "definition": "shuffle(-7..7 except 0)[0..6]", "description": "", "templateType": "anything", "can_override": false}, "venn_diagram_many_checkboxes": {"name": "venn_diagram_many_checkboxes", "group": "Ungrouped variables", "definition": "jxg_add_objects(venn_diagram_2(\"Positive\",\"Even\"),\n  map(['point',[i-len(ns)/2,3],[\"id\":'n_{i}',\"size\":5,name:\"{ns[i]}\"]],i,0..len(ns)-1)\n)", "description": "", "templateType": "anything", "can_override": false}, "marking_matrix": {"name": "marking_matrix", "group": "Ungrouped variables", "definition": "map(\n  [award(1,n>0),award(1,mod(n,2)=0)],\n  n,\n  ns\n)", "description": "", "templateType": "anything", "can_override": false}, "venn_diagram_one_checkboxes": {"name": "venn_diagram_one_checkboxes", "group": "One point", "definition": "jxg_run_jessiecode(venn_diagram_2(\"Positive\",\"Even\"),\"\"\"\n  A = point(0,3) <<id: 'A', size: 5, withLabel: true, name: '{n}'>>;\n\"\"\")", "description": "", "templateType": "anything", "can_override": false}, "venn_diagram_one_solo": {"name": "venn_diagram_one_solo", "group": "One point", "definition": "jxg_run_jessiecode(venn_diagram_2(\"Positive\",\"Even\"),\"\"\"\n  A = point(0,3) <<id: 'A', size: 5, withLabel: true, name: '{n}'>>;\n\"\"\")", "description": "", "templateType": "anything", "can_override": false}, "venn_diagram_many_solo": {"name": "venn_diagram_many_solo", "group": "Ungrouped variables", "definition": "jxg_add_objects(venn_diagram_2(\"Positive\",\"Even\"),\n  map(['point',[i-len(ns)/2,3],[\"id\":'n_{i}',\"size\":5,name:\"{ns[i]}\"]],i,0..len(ns)-1)\n)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["ns", "venn_diagram_many_checkboxes", "marking_matrix", "venn_diagram_many_solo"], "variable_groups": [{"name": "One point", "variables": ["n", "venn_diagram_one_checkboxes", "venn_diagram_one_solo"]}], "functions": {"venn_diagram_2": {"parameters": [["set1_name", "string"], ["set2_name", "string"]], "type": "jsxgraphboard", "language": "jme", "definition": "jessiecode(500,400,[-5,4,5,-4],\"\"\"\n  r = 2.5;\n  circle([-1.5,0],r) <<fillColor: 'green', id: 'c_1', fillOpacity: 0.5, strokeColor: 'black', fixed: true, highlight: false, hasInnerPoints: true>>;\n  circle([1.5,0],r) <<fillColor: 'blue', id: 'c_2', fillOpacity: 0.5, strokeColor: 'black', fixed: true, highlight: false, hasInnerPoints: true>>;\n  text(-2.5,-r-0.5,\"{set1_name}\") <<anchorX: 'middle', fontSize:30, fixed: true>>;\n  text(2.5,-r-0.5,\"{set2_name}\") <<anchorX: 'middle', fontSize:30, fixed :true>>;\n\"\"\",\n  [\"grid\": false, \"axis\": false]\n)"}}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "extension", "useCustomName": true, "customName": "Inter-active Venn diagram", "marks": "6", "scripts": {}, "customMarkingAlgorithm": "diagram: venn_diagram_many_solo\n\npoints (The points to move):\n  map(diagram[\"n_{i}\"],i,0..len(ns)-1)\n\ncoords (The coordinates of each point): \n  map(jxg_position(p),p,points)\n\ncorrect_memberships:\n  map(\n    [n>0, mod(n,2)=0],\n    n,\n    ns\n  )\n\nstudent_memberships (For each point, is it inside each of the subset circles?):\n  map(\n    [jxg_has_point(diagram[\"c_1\"],c), jxg_has_point(diagram[\"c_2\"],c)],\n    c,\n    coords\n  )\n\ncredit_per: 1/(2*len(ns))\n\nmark_points:\n  map(\n    let(\n      [c_1,c_2], correct, \n      [s_1,s_2], student,\n      if(c_1 = s_1,\n        add_credit(credit_per,if(c_1, \"{n} is positive.\", \"{n} is not positive.\"))\n      ,\n        negative_feedback(\n          if(s_1, \n            \"You said that {n} is positive, but it is not.\"\n          , \"You said that {n} is not positive, but it is.\"\n          )\n        )\n      )\n      if(c_2 = s_2,\n        add_credit(credit_per,if(c_2, \"{n} is even.\", \"{n} is not even.\"))\n      ,\n        negative_feedback(\n          if(s_2, \n            \"You said that {n} is even, but it is not.\"\n          , \"You said that {n} is not even, but it is.\"\n          )\n        )\n      )\n    ),\n    [correct,student,n],\n    zip(correct_memberships, student_memberships, ns)\n  )\n\nmark:\n  apply(mark_points)\n\ninterpreted_answer:\n  student_memberships", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The Venn diagram below represents the set of integers, with the positive and even numbers as subsets.</p>\n<p>For each of the numbers {join(ns,', ')}, decide if it is positive and if it is even. Move the points representing the numbers to the appropriate positions on the diagram.</p>\n<p>{venn_diagram_many_solo}</p>"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "tree2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": [], "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "<p>Neil is deciding what to eat for breakfast. The probability of him choosing cereal is {cereal} and the probability of him choosing a cooked breakfast is {cooked}. If he chooses cereal then the probability that he chooses to drink tea is {tea1}. If he chooses a cooked breakfast then the probability that he chooses tea is {tea2}.</p>\n<p>By drawing a tree diagram or otherwise, answer the following questions.</p>\n<p></p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"cereal": {"name": "cereal", "group": "Ungrouped variables", "definition": "random(0.1 .. 0.9#0.1)", "description": "", "templateType": "randrange", "can_override": false}, "cooked": {"name": "cooked", "group": "Ungrouped variables", "definition": "1-cereal", "description": "", "templateType": "anything", "can_override": false}, "tea1": {"name": "tea1", "group": "Ungrouped variables", "definition": "random(0.2 .. 0.9#0.1)", "description": "", "templateType": "randrange", "can_override": false}, "nottea1": {"name": "nottea1", "group": "Ungrouped variables", "definition": "1-tea1", "description": "", "templateType": "anything", "can_override": false}, "tea2": {"name": "tea2", "group": "Ungrouped variables", "definition": "random(0.2 .. 0.8#0.1)", "description": "", "templateType": "randrange", "can_override": false}, "nottea2": {"name": "nottea2", "group": "Ungrouped variables", "definition": "1-tea2", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["cereal", "cooked", "tea1", "nottea1", "tea2", "nottea2"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that he chooses cereal but not tea?</p>", "minValue": "cereal*nottea1", "maxValue": "cereal*nottea1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that he chooses tea?</p>", "minValue": "cereal*tea1+cooked*tea2", "maxValue": "cereal*tea1+cooked*tea2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that he does not choose tea?</p>", "minValue": "1-(cereal*tea1+cooked*tea2)", "maxValue": "1-(cereal*tea1+cooked*tea2)", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Venn4", "extensions": ["eukleides", "jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "http://localhost:8000/accounts/profile/1/"}, {"name": "Christian Lawson-Perfect", "profile_url": "http://localhost:8000/accounts/profile/1/"}, {"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": ["category: statistics", "leads to: 335, Venn Diagrams (conditional prob.)", "skill: 234, Venn Diagrams (probability)"], "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Read the question and use the diagram to help you. Give your answers as fractions.</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"diagram": {"name": "diagram", "group": "Ungrouped variables", "definition": "eukleides(\"A Venn diagram with {justA} in just The Times, {justB} in just The Guardian, {both} in both, and {neither} in neither\",\n[\ncircle(point(0,0),2) color1 filled opacity(0.5),\npoint(-1,2) label(\"The Times\",deg(180)),\ncircle(point(3,0),2) color2 filled opacity(0.5),\npoint(4,2) label(\"The Guardian\",deg(0)),\npoint(0,0) label(justA,deg(180)),\npoint(3,0) label(justB,deg(0)),\npoint(1.5,0) label(both,0),\npoint(6,0) label(neither)\n],\n[\"justA\":justA,\"justB\":justB,\"both\":both,\"neither\":neither]\n)", "description": "", "templateType": "anything", "can_override": false}, "groups": {"name": "groups", "group": "Ungrouped variables", "definition": "[\n  [25,30,10,35],\n  [20,40,25,15],\n  [15,50,20,15],\n  [20,35,15,30],\n  [10,30,15,45]\n]", "description": "", "templateType": "anything", "can_override": false}, "group": {"name": "group", "group": "Ungrouped variables", "definition": "random(groups)", "description": "", "templateType": "anything", "can_override": false}, "justA": {"name": "justA", "group": "Ungrouped variables", "definition": "group[0]", "description": "", "templateType": "anything", "can_override": false}, "justB": {"name": "justB", "group": "Ungrouped variables", "definition": "group[1]", "description": "", "templateType": "anything", "can_override": false}, "both": {"name": "both", "group": "Ungrouped variables", "definition": "group[2]", "description": "", "templateType": "anything", "can_override": false}, "neither": {"name": "neither", "group": "Ungrouped variables", "definition": "group[3]", "description": "", "templateType": "anything", "can_override": false}, "p": {"name": "p", "group": "Ungrouped variables", "definition": "(justA+justB)/(justA+justB+both+neither)", "description": "", "templateType": "anything", "can_override": false}, "pb": {"name": "pb", "group": "Ungrouped variables", "definition": "both/(justA+justB+both+neither)", "description": "", "templateType": "anything", "can_override": false}, "ponlyGuardian": {"name": "ponlyGuardian", "group": "Ungrouped variables", "definition": "justB/(justA+justB+both+neither)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["groups", "group", "justA", "justB", "both", "neither", "diagram", "p", "pb", "ponlyGuardian"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The diagram shows the percentage of people who read The Times and/or The Guardian.</p>\n<p>{max_width(30,diagram)}</p>\n<p>What is the probability that a person chosen randomly reads only one of these newspapers?</p>", "minValue": "p", "maxValue": "p", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that a randomly chosen person reads both?</p>", "minValue": "pb", "maxValue": "pb", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that a randomly chosen person reads only The Guardian?</p>", "minValue": "ponlyGuardian", "maxValue": "ponlyGuardian", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "More heads and tails", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Rachel flips a biased coin. The probability that she gets two heads is {HH}&nbsp;</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"hh": {"name": "hh", "group": "Ungrouped variables", "definition": "random(0.09,0.16,0.36,0.49,0.64,0.81)", "description": "", "templateType": "anything", "can_override": false}, "h": {"name": "h", "group": "Ungrouped variables", "definition": "sqrt(hh)", "description": "", "templateType": "anything", "can_override": false}, "tt": {"name": "tt", "group": "Ungrouped variables", "definition": "t*t", "description": "", "templateType": "anything", "can_override": false}, "t": {"name": "t", "group": "Ungrouped variables", "definition": "1-h", "description": "", "templateType": "anything", "can_override": false}, "th": {"name": "th", "group": "Ungrouped variables", "definition": "t*h", "description": "", "templateType": "anything", "can_override": false}, "ht": {"name": "ht", "group": "Ungrouped variables", "definition": "h*t", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["hh", "h", "tt", "t", "th", "ht"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that she gets a head on any throw?</p>", "minValue": "h", "maxValue": "h", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that she gets two tails?</p>", "minValue": "tt", "maxValue": "tt", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that she gets one tail and one head?</p>", "minValue": "th+ht", "maxValue": "th+ht", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Prob from table1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>The number of students in each year group of a school are shown in the table below.&nbsp;</p>\n<p></p>\n<table border=\"1\" cellpadding=\"1\" cellspacing=\"1\" style=\"float: left;\">\n<tbody>\n<tr>\n<td>Year</td>\n<td>5</td>\n<td>6</td>\n<td>7</td>\n<td>8</td>\n<td>9</td>\n</tr>\n<tr>\n<td>Number of students</td>\n<td>{Y5}</td>\n<td>{Y6}</td>\n<td>{Y7}</td>\n<td>{Y8}</td>\n<td>{Y9}</td>\n</tr>\n</tbody>\n</table>\n<p></p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"y5": {"name": "y5", "group": "Ungrouped variables", "definition": "random(35 .. 60#5)", "description": "", "templateType": "randrange", "can_override": false}, "y6": {"name": "y6", "group": "Ungrouped variables", "definition": "random(35 .. 60#5)", "description": "", "templateType": "randrange", "can_override": false}, "y7": {"name": "y7", "group": "Ungrouped variables", "definition": "random(35 .. 60#5)", "description": "", "templateType": "randrange", "can_override": false}, "y8": {"name": "y8", "group": "Ungrouped variables", "definition": "random(35 .. 60#5)", "description": "", "templateType": "randrange", "can_override": false}, "y9": {"name": "y9", "group": "Ungrouped variables", "definition": "random(35 .. 60#5)", "description": "", "templateType": "randrange", "can_override": false}, "total": {"name": "total", "group": "Ungrouped variables", "definition": "Y5+Y6+Y7+Y8+Y9", "description": "", "templateType": "anything", "can_override": false}, "PY9": {"name": "PY9", "group": "Ungrouped variables", "definition": "Y9/total", "description": "", "templateType": "anything", "can_override": false}, "PY8": {"name": "PY8", "group": "Ungrouped variables", "definition": "y8/total", "description": "", "templateType": "anything", "can_override": false}, "PY7": {"name": "PY7", "group": "Ungrouped variables", "definition": "y7/total", "description": "", "templateType": "anything", "can_override": false}, "py6": {"name": "py6", "group": "Ungrouped variables", "definition": "y6/total\n", "description": "", "templateType": "anything", "can_override": false}, "py5": {"name": "py5", "group": "Ungrouped variables", "definition": "y5/total", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["y5", "y6", "y7", "y8", "y9", "total", "PY9", "PY8", "PY7", "py6", "py5"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>How many students are there in the school?</p>", "minValue": "total", "maxValue": "total", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>A student is selected at random. What is the probability that they are in year 9? Give your answer as a fraction.</p>", "minValue": "py9", "maxValue": "py9", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Another student is selected at random from all of the students in the school. What is the probability that they are in years 5, 6 or 7? Give your answer as a fraction.</p>", "minValue": "py5+py6+py7", "maxValue": "py5+py6+py7", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Venn3", "extensions": ["eukleides", "jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "http://localhost:8000/accounts/profile/1/"}, {"name": "Christian Lawson-Perfect", "profile_url": "http://localhost:8000/accounts/profile/1/"}, {"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": ["category: statistics", "leads to: 335, Venn Diagrams (conditional prob.)", "skill: 234, Venn Diagrams (probability)"], "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Read the question and use the diagram to help you. Give your answers as fractions.</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"diagram": {"name": "diagram", "group": "Ungrouped variables", "definition": "eukleides(\"A Venn diagram with {justA} in just Mathematics, {justB} in just Physics, {both} in both, and {neither} in neither\",\n[\ncircle(point(0,0),2) color1 filled opacity(0.5),\npoint(-1,2) label(\"Mathematics\",deg(180)),\ncircle(point(3,0),2) color2 filled opacity(0.5),\npoint(4,2) label(\"Physics\",deg(0)),\npoint(0,0) label(justA,deg(180)),\npoint(3,0) label(justB,deg(0)),\npoint(1.5,0) label(both,0),\npoint(6,0) label(neither)\n],\n[\"justA\":justA,\"justB\":justB,\"both\":both,\"neither\":neither]\n)", "description": "", "templateType": "anything", "can_override": false}, "groups": {"name": "groups", "group": "Ungrouped variables", "definition": "[\n  [25,30,10,35],\n  [20,40,25,15],\n  [15,50,20,15],\n  [20,35,15,30],\n  [10,30,15,45]\n]", "description": "", "templateType": "anything", "can_override": false}, "group": {"name": "group", "group": "Ungrouped variables", "definition": "random(groups)", "description": "", "templateType": "anything", "can_override": false}, "justA": {"name": "justA", "group": "Ungrouped variables", "definition": "group[0]", "description": "", "templateType": "anything", "can_override": false}, "justB": {"name": "justB", "group": "Ungrouped variables", "definition": "group[1]", "description": "", "templateType": "anything", "can_override": false}, "both": {"name": "both", "group": "Ungrouped variables", "definition": "group[2]", "description": "", "templateType": "anything", "can_override": false}, "neither": {"name": "neither", "group": "Ungrouped variables", "definition": "group[3]", "description": "", "templateType": "anything", "can_override": false}, "p": {"name": "p", "group": "Ungrouped variables", "definition": "(justA+justB)/(justA+justB+both+neither)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["groups", "group", "justA", "justB", "both", "neither", "diagram", "p"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The percentage of students studying one, both or neither of&nbsp; Mathematics and Physics is shown by the diagram below.</p>\n<p>{max_width(30,diagram)}</p>\n<p>What is the probability that a randomly chosen student studies <strong>only one</strong> of these subjects?</p>", "minValue": "p", "maxValue": "p", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that a student studies at least one of these two subjects?</p>", "minValue": "(100-neither)/100", "maxValue": "(100-neither)/100", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that a student studies neither of these subjects?</p>", "minValue": "neither/100", "maxValue": "neither/100", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "tree3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Shelley is learning to drive. The probability that she passes her driving test on any attempt is {pass}</p>\n<p>Answer the following questions.</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"pass": {"name": "pass", "group": "Ungrouped variables", "definition": "random(0.6 .. 0.9#0.1)", "description": "", "templateType": "randrange", "can_override": false}, "pass3": {"name": "pass3", "group": "Ungrouped variables", "definition": "fail*fail*pass", "description": "", "templateType": "anything", "can_override": false}, "fail": {"name": "fail", "group": "Ungrouped variables", "definition": "1-pass", "description": "", "templateType": "anything", "can_override": false}, "pass2": {"name": "pass2", "group": "Ungrouped variables", "definition": "fail*pass", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["pass", "pass3", "fail", "pass2"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that she passes at the first attemot?</p>", "minValue": "pass", "maxValue": "pass", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<ol>\n<li>What is the probability that she passes at the third attempt?&nbsp;</li>\n</ol>\n<p>Hint: once she passes she won't take the test again!</p>", "minValue": "pass3", "maxValue": "pass3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "4", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that she passes in fewer than 4 attempts?</p>", "minValue": "pass+pass2+pass3", "maxValue": "pass+pass2+pass3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "4", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Venn5", "extensions": ["eukleides", "jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "http://localhost:8000/accounts/profile/1/"}, {"name": "Christian Lawson-Perfect", "profile_url": "http://localhost:8000/accounts/profile/1/"}, {"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": ["category: statistics", "leads to: 335, Venn Diagrams (conditional prob.)", "skill: 234, Venn Diagrams (probability)"], "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p style=\"text-align: left;\">Read the question and use the diagram to help you answer. 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