// Numbas version: finer_feedback_settings {"name": "Test Set", "metadata": {"description": "
trial for inclusion in module assessment
", "licence": "None specified"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Group 1", "pickingStrategy": "all-ordered", "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": "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}.
\nBy drawing a tree diagram or otherwise, answer the following questions.
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", "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": "What is the probability that she chooses pizza and wine?
", "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": "What is the probability that she chooses hotpot and also wine?
", "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": "What is the probability that she does not choose wine?
", "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", "type": "question"}, {"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": "Chloe throws a fair coin 3 times.
\n\nType your answers as fractions.
", "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": "What is the probability that she gets 3 'heads'?
", "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": "What is the probability that she gets at least one 'tail'?
", "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", "type": "question"}, {"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": "This question demonstrates a few ways of interacting with a Venn diagram drawn using JSXGraph.
", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "Read the question and move the points to the correct section of the Venn diagram
", "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) <The Venn diagram below represents the set of integers, with the positive and even numbers as subsets.
\nFor 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.
\n{venn_diagram_many_solo}
"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"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": "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}.
\nBy drawing a tree diagram or otherwise, answer the following questions.
\n", "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": "What is the probability that he chooses cereal but not tea?
", "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": "What is the probability that he chooses tea?
", "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": "What is the probability that he does not choose tea?
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