// Numbas version: exam_results_page_options
{"navigation": {"allowregen": true, "browse": true, "showresultspage": "oncompletion", "preventleave": true, "allowsteps": true, "reverse": true, "onleave": {"message": "", "action": "none"}, "showfrontpage": true, "startpassword": ""}, "showstudentname": true, "question_groups": [{"pickingStrategy": "all-ordered", "pickQuestions": 1, "name": "Group", "questions": [{"name": "BMA1020 - 1_01", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Bernt Jensen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3803/"}], "variables": {}, "metadata": {"licence": "None specified", "description": ""}, "rulesets": {}, "functions": {}, "parts": [{"prompt": "<p>What is the number of elements in the sample space of three fair six-sided dice?</p>", "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain", "showFeedbackIcon": true, "mustBeReducedPC": 0, "variableReplacements": [], "marks": 1, "showCorrectAnswer": false, "minValue": "216", "allowFractions": false, "customName": "", "mustBeReduced": false, "showFractionHint": true, "unitTests": [], "extendBaseMarkingAlgorithm": true, "type": "numberentry", "customMarkingAlgorithm": "", "maxValue": "216", "useCustomName": false, "correctAnswerFraction": false, "scripts": {}, "adaptiveMarkingPenalty": 0, "variableReplacementStrategy": "originalfirst"}, {"prompt": "<p>How many elements in the sample space of hands of <strong>four</strong> cards from a deck of $52$?</p>", "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain", "showFeedbackIcon": true, "mustBeReducedPC": 0, "variableReplacements": [], "marks": 1, "showCorrectAnswer": false, "minValue": "270725", "allowFractions": false, "customName": "", "mustBeReduced": false, "showFractionHint": true, "unitTests": [], "extendBaseMarkingAlgorithm": true, "type": "numberentry", "customMarkingAlgorithm": "", "maxValue": "270725", "useCustomName": false, "correctAnswerFraction": false, "scripts": {}, "adaptiveMarkingPenalty": 0, "variableReplacementStrategy": "originalfirst"}, {"showCellAnswerState": false, "prompt": "<p>Let $A$ and $B$ be two events. It is known that $P(A)=0.1$ and $P(B)=0.2$. Which of the following statements are <strong>always</strong> true.</p>", "warningType": "none", "matrix": ["-1", "-1", "1", "1", "1"], "showFeedbackIcon": true, "minMarks": 0, "variableReplacements": [], "marks": 0, "maxAnswers": 0, "showCorrectAnswer": false, "choices": ["$P(A\\cup B)=0.1\\cdot 0.2$", "$P(A\\cup B)=0.2+0.1$", "$P(A\\cup B)\\leq 1.0$", "$P(A\\cup B)\\leq 0.1+0.2$", "$P(A\\cap B)\\geq 0.1$"], "maxMarks": 0, "displayType": "checkbox", "adaptiveMarkingPenalty": 0, "minAnswers": 0, "shuffleChoices": true, "unitTests": [], "extendBaseMarkingAlgorithm": true, "type": "m_n_2", "distractors": ["", "", "", "", ""], "customMarkingAlgorithm": "", "customName": "", "useCustomName": false, "displayColumns": "1", "scripts": {}, "variableReplacementStrategy": "originalfirst"}, {"prompt": "<p>What is the number of ways to place $6$ people in a queue?</p>", "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain", "showFeedbackIcon": true, "mustBeReducedPC": 0, "variableReplacements": [], "marks": 1, "showCorrectAnswer": false, "minValue": "720", "allowFractions": false, "customName": "", "mustBeReduced": false, "showFractionHint": true, "unitTests": [], "extendBaseMarkingAlgorithm": true, "type": "numberentry", "customMarkingAlgorithm": "", "maxValue": "720", "useCustomName": false, "correctAnswerFraction": false, "scripts": {}, "adaptiveMarkingPenalty": 0, "variableReplacementStrategy": "originalfirst"}, {"showCellAnswerState": false, "prompt": "<p>Given that $P(B)=0$ and that $A\\subseteq B$. What is always true about $P(A)$?</p>", "warningType": "none", "matrix": ["1", "0", "-1"], "showFeedbackIcon": true, "minMarks": 0, "variableReplacements": [], "marks": 0, "maxAnswers": 0, "showCorrectAnswer": false, "choices": ["$P(A)=0$", "$P(A)\\geq P(B)$", "$P(A)&lt;0$"], "maxMarks": 0, "displayType": "checkbox", "adaptiveMarkingPenalty": 0, "minAnswers": 0, "shuffleChoices": false, "unitTests": [], "extendBaseMarkingAlgorithm": true, "type": "m_n_2", "distractors": ["", "", ""], "customMarkingAlgorithm": "", "customName": "", "useCustomName": false, "displayColumns": "1", "scripts": {}, "variableReplacementStrategy": "originalfirst"}], "preamble": {"js": "", "css": ""}, "variablesTest": {"maxRuns": 100, "condition": ""}, "statement": "<p>Answer each of the following questions.</p>", "ungrouped_variables": [], "advice": "", "tags": [], "variable_groups": []}, {"name": "BMA1020 - 1_02", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Bernt Jensen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3803/"}], "tags": [], "preamble": {"js": "", "css": ""}, "ungrouped_variables": [], "functions": {}, "parts": [{"type": "numberentry", "variableReplacementStrategy": "originalfirst", "customName": "", "correctAnswerStyle": "plain", "adaptiveMarkingPenalty": 0, "prompt": "<p>What is the probability that at least one student will fail their exam?</p>", "showFractionHint": true, "marks": 1, "minValue": "0.4", "variableReplacements": [], "showCorrectAnswer": false, "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "maxValue": "0.4", "customMarkingAlgorithm": "", "showFeedbackIcon": true, "mustBeReducedPC": 0, "unitTests": [], "useCustomName": false, "mustBeReduced": false, "allowFractions": false, "extendBaseMarkingAlgorithm": true}], "rulesets": {}, "variable_groups": [], "advice": "", "statement": "<p>The probability that student A will fail the exam is $0.2$. 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The probability that both students will fail the exam is $0.1$.&nbsp;</p>", "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {}, "metadata": {"description": "", "licence": "None specified"}}, {"name": "BMA1020 - 1_03", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Bernt Jensen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3803/"}], "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "parts": [{"unitTests": [], "allowFractions": true, "type": "numberentry", "prompt": "<p>What is the probability that you roll only tails?</p>", "customMarkingAlgorithm": "", "mustBeReducedPC": 0, "customName": "", "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "useCustomName": false, "correctAnswerFraction": false, "scripts": {}, "extendBaseMarkingAlgorithm": true, "adaptiveMarkingPenalty": 0, "showFeedbackIcon": true, "minValue": "1/2^7", "variableReplacementStrategy": "originalfirst", "marks": 1, "mustBeReduced": false, "maxValue": "1/2^7", "showFractionHint": true, "showCorrectAnswer": false, "variableReplacements": []}, {"unitTests": [], "allowFractions": true, "type": "numberentry", "prompt": "<p>What is the probability that you roll no tails?</p>", "customMarkingAlgorithm": "", "mustBeReducedPC": 0, "customName": "", "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "useCustomName": false, "correctAnswerFraction": false, "scripts": {}, "extendBaseMarkingAlgorithm": true, "adaptiveMarkingPenalty": 0, "showFeedbackIcon": true, "minValue": "1/2^7", "variableReplacementStrategy": "originalfirst", "marks": 1, "mustBeReduced": false, "maxValue": "1/2^7", "showFractionHint": true, "showCorrectAnswer": false, "variableReplacements": []}, {"unitTests": [], "allowFractions": true, "type": "numberentry", "prompt": "<p>What is the probability of rolling exactly 3 heads and 3 tails?</p>", "customMarkingAlgorithm": "", "mustBeReducedPC": 0, "customName": "", "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "useCustomName": false, "correctAnswerFraction": false, "scripts": {}, "extendBaseMarkingAlgorithm": true, "adaptiveMarkingPenalty": 0, "showFeedbackIcon": false, "minValue": "0", "variableReplacementStrategy": "originalfirst", "marks": 1, "mustBeReduced": false, "maxValue": "0", "showFractionHint": true, "showCorrectAnswer": true, "variableReplacements": []}, {"unitTests": [], "allowFractions": true, "type": "numberentry", "prompt": "<p>What is the probability that you roll at least three tails?</p>", "customMarkingAlgorithm": "", "mustBeReducedPC": 0, "customName": "", "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "useCustomName": false, "correctAnswerFraction": false, "scripts": {}, "extendBaseMarkingAlgorithm": true, "adaptiveMarkingPenalty": 0, "showFeedbackIcon": true, "minValue": "99/128", "variableReplacementStrategy": "originalfirst", "marks": 1, "mustBeReduced": false, "maxValue": "99/128", "showFractionHint": true, "showCorrectAnswer": false, "variableReplacements": []}], "advice": "", "rulesets": {}, "variables": {}, "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>You are rolling a fair coin seven times. Write the answers as fractions.</p>", "variable_groups": [], "functions": {}, "tags": [], "preamble": {"css": "", "js": ""}}, {"name": "BMA1020 - 1_04", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Bernt Jensen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3803/"}], "variables": {}, "advice": "", "tags": [], "parts": [{"type": "numberentry", "showFractionHint": true, "correctAnswerStyle": "plain", "customName": "", "minValue": "4/36", "maxValue": "4/36", "useCustomName": false, "correctAnswerFraction": false, "mustBeReduced": false, "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "adaptiveMarkingPenalty": 0, "mustBeReducedPC": 0, "variableReplacements": [], "customMarkingAlgorithm": "", "allowFractions": true, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "unitTests": [], "marks": 1, "scripts": {}, "prompt": "<p>What is the probability of rolling a sum equal to $9$ when you roll $2$ dice?</p>", "showCorrectAnswer": false}, {"type": "numberentry", "showFractionHint": true, "correctAnswerStyle": "plain", "customName": "", "minValue": "2/36", "maxValue": "2/36", "useCustomName": false, "correctAnswerFraction": false, "mustBeReduced": false, "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "adaptiveMarkingPenalty": 0, "mustBeReducedPC": 0, "variableReplacements": [], "customMarkingAlgorithm": "", "allowFractions": true, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "unitTests": [], "marks": 1, "scripts": {}, "prompt": "<p>What is the probability of rolling one $5$ and one $6$ (in any order) when you roll $2$ dice?</p>", "showCorrectAnswer": false}, {"type": "numberentry", "showFractionHint": true, "correctAnswerStyle": "plain", "customName": "", "minValue": "11/36", "maxValue": "11/36", "useCustomName": false, "correctAnswerFraction": false, "mustBeReduced": false, "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "adaptiveMarkingPenalty": 0, "mustBeReducedPC": 0, "variableReplacements": [], "customMarkingAlgorithm": "", "allowFractions": true, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "unitTests": [], "marks": 1, "scripts": {}, "prompt": "<p>What is the probability of rolling at least one $5$ when you roll $3$ dice?</p>", "showCorrectAnswer": false}, {"type": "numberentry", "showFractionHint": true, "correctAnswerStyle": "plain", "customName": "", "minValue": "3/216", "maxValue": "3/216", "useCustomName": false, "correctAnswerFraction": false, "mustBeReduced": false, "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "adaptiveMarkingPenalty": 0, "mustBeReducedPC": 0, "variableReplacements": [], "customMarkingAlgorithm": "", "allowFractions": true, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "unitTests": [], "marks": 1, "scripts": {}, "prompt": "<p>What is the probability of rolling two $5$ and one $6$ when you roll $3$ dice?</p>", "showCorrectAnswer": false}, {"type": "numberentry", "showFractionHint": true, "correctAnswerStyle": "plain", "customName": "", "minValue": "192/1296", "maxValue": "192/1296", "useCustomName": false, "correctAnswerFraction": false, "mustBeReduced": false, "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "adaptiveMarkingPenalty": 0, "mustBeReducedPC": 0, "variableReplacements": [], "customMarkingAlgorithm": "", "allowFractions": true, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "unitTests": [], "marks": 1, "scripts": {}, "prompt": "<p>What is the probability of rolling one $5$ and one $6$ when you roll $4$ dice?</p>", "showCorrectAnswer": false}, {"type": "numberentry", "showFractionHint": true, "correctAnswerStyle": "plain", "customName": "", "minValue": "671/1296", "maxValue": "671/1296", "useCustomName": false, "correctAnswerFraction": false, "mustBeReduced": false, "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "adaptiveMarkingPenalty": 0, "mustBeReducedPC": 0, "variableReplacements": [], "customMarkingAlgorithm": "", "allowFractions": true, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "unitTests": [], "marks": 1, "scripts": {}, "prompt": "<p>That is the probability of rolling at least one $6$ when you roll $4$ dice?</p>", "showCorrectAnswer": false}], "variablesTest": {"maxRuns": 100, "condition": ""}, "functions": {}, "statement": "<p>Calculate the probabilities for each of these events where we roll $6$ sided fair dice. Write the answers as fractions.</p>", "preamble": {"css": "", "js": ""}, "metadata": {"description": "", "licence": "None specified"}, "variable_groups": [], "ungrouped_variables": [], "rulesets": {}}, {"name": "BMA1020 - 1_05", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Bernt Jensen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3803/"}], "tags": [], "statement": "<p>You are drawing a five card hand form a deck of normal playing cards. Calculate the probability of each of these events. Write the answers as fractions.</p>", "variable_groups": [], "metadata": {"description": "", "licence": "None specified"}, "variables": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "rulesets": {}, "preamble": {"css": "", "js": ""}, "parts": [{"maxValue": "211904/2598960", "mustBeReducedPC": 0, "useCustomName": false, "notationStyles": ["plain", "en", "si-en"], "showCorrectAnswer": false, "scripts": {}, "extendBaseMarkingAlgorithm": true, "prompt": "<p>What is the probability of drawing one ace and one jack for a $5$-card hand.</p>", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "allowFractions": true, "marks": 1, "variableReplacements": [], "unitTests": [], "correctAnswerFraction": false, "customName": "", "mustBeReduced": false, "showFractionHint": true, "type": "numberentry", "showFeedbackIcon": true, "minValue": "211904/2598960"}, {"maxValue": "1287/2598960", "mustBeReducedPC": 0, "useCustomName": false, "notationStyles": ["plain", "en", "si-en"], "showCorrectAnswer": false, "scripts": {}, "extendBaseMarkingAlgorithm": true, "prompt": "<p>What is the probability of drawing all diamonds?</p>", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "allowFractions": true, "marks": 1, "variableReplacements": [], "unitTests": [], "correctAnswerFraction": false, "customName": "", "mustBeReduced": false, "showFractionHint": true, "type": "numberentry", "showFeedbackIcon": true, "minValue": "1287/2598960"}, {"maxValue": "2574/2598960", "mustBeReducedPC": 0, "useCustomName": false, "notationStyles": ["plain", "en", "si-en"], "showCorrectAnswer": false, "scripts": {}, "extendBaseMarkingAlgorithm": true, "prompt": "<p>What is the probability of drawing either all diamonds or all spades?</p>", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "allowFractions": true, "marks": 1, "variableReplacements": [], "unitTests": [], "correctAnswerFraction": false, "customName": "", "mustBeReduced": false, "showFractionHint": true, "type": "numberentry", "showFeedbackIcon": true, "minValue": "2574/2598960"}, {"maxValue": "778320/2598960", "mustBeReducedPC": 0, "useCustomName": false, "notationStyles": ["plain", "en", "si-en"], "showCorrectAnswer": false, "scripts": {}, "extendBaseMarkingAlgorithm": true, "prompt": "<p>What is the probability of drawing at least one king?</p>", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "allowFractions": false, "marks": 1, "variableReplacements": [], "unitTests": [], "correctAnswerFraction": false, "customName": "", "mustBeReduced": false, "showFractionHint": true, "type": "numberentry", "showFeedbackIcon": true, "minValue": "778320/2598960"}], "ungrouped_variables": [], "functions": {}, "advice": ""}, {"name": "BMA1020 - 1_06", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Bernt Jensen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3803/"}], "variable_groups": [], "statement": "<p>Five people, denoted by $a,b,c,d$ and $e$ are placed in a queue. Write the answers using fractions.</p>", "advice": "", "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "preamble": {"js": "", "css": ""}, "tags": [], "ungrouped_variables": [], "metadata": {"licence": "None specified", "description": ""}, "functions": {}, "parts": [{"customName": "", "showFractionHint": true, "minValue": "1/5", "adaptiveMarkingPenalty": 0, "variableReplacements": [], "correctAnswerFraction": false, "prompt": "<p>What is the probability that person a is in the middle of the queue?</p>", "correctAnswerStyle": "plain", "scripts": {}, "mustBeReduced": false, "unitTests": [], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "maxValue": "1/5", "allowFractions": true, "showCorrectAnswer": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "marks": 1, "type": "numberentry", "useCustomName": false}, {"customName": "", "showFractionHint": true, "minValue": "3/5", "adaptiveMarkingPenalty": 0, "variableReplacements": [], "correctAnswerFraction": false, "prompt": "<p>What is the probability that person a does not occupy the first two positions in the queue?</p>", "correctAnswerStyle": "plain", "scripts": {}, "mustBeReduced": false, "unitTests": [], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "maxValue": "3/5", "allowFractions": false, "showCorrectAnswer": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "marks": 1, "type": "numberentry", "useCustomName": false}, {"customName": "", "showFractionHint": true, "minValue": "1/2", "adaptiveMarkingPenalty": 0, "variableReplacements": [], "correctAnswerFraction": false, "prompt": "<p>What is the probability that person b is placed after person a in the queue?</p>", "correctAnswerStyle": "plain", "scripts": {}, "mustBeReduced": false, "unitTests": [], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "maxValue": "1/2", "allowFractions": false, "showCorrectAnswer": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "marks": 1, "type": "numberentry", "useCustomName": false}], "rulesets": {}}, {"name": "BMA1020 - 1_07", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Bernt Jensen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3803/"}], "variable_groups": [], "statement": "<p>You roll a pair of fair six-sided dice.</p>", "advice": "", "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "preamble": {"js": "", "css": ""}, "tags": [], "ungrouped_variables": [], "metadata": {"licence": "None specified", "description": ""}, "functions": {}, "parts": [{"customName": "", "shuffleChoices": false, "maxMarks": 0, "minAnswers": 0, "adaptiveMarkingPenalty": 0, "maxAnswers": 0, "variableReplacements": [], "prompt": "<p>Which of the following pairs of events A and B are independent?</p>", "choices": ["A = \"first dice is odd\", B=\"second dice is even\"", "A = \"first dice is even\", B=\"the sum of the two dice is six\"", "A = \"first dice is even\", B = \"the sum is even\"", "A = \"the sum is even\", B = \"the sum is odd\""], "scripts": {}, "displayColumns": 0, "matrix": ["1", 0, "2", 0], "unitTests": [], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "showFeedbackIcon": true, "minMarks": 0, "extendBaseMarkingAlgorithm": true, "marks": 0, "type": "m_n_2", "warningType": "none", "distractors": ["", "", "", ""], "useCustomName": false, "displayType": "checkbox", "showCellAnswerState": true}], "rulesets": {}}, {"name": "BMA1020 - 1_08", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Bernt Jensen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3803/"}], "variables": {}, "ungrouped_variables": [], "variable_groups": [], "tags": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "rulesets": {}, "metadata": {"licence": "None specified", "description": ""}, "advice": "", "statement": "<p>You are rolling two fair six-sided dice. What is the probability that the first dice shows $6$, given the following events. Calculate answers and write with fractions.</p>", "functions": {}, "preamble": {"css": "", "js": ""}, "parts": [{"showFeedbackIcon": true, "customName": "", "variableReplacementStrategy": "originalfirst", "useCustomName": false, "minValue": "1", "maxValue": "1", "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "mustBeReduced": false, "adaptiveMarkingPenalty": 0, "scripts": {}, "allowFractions": true, "marks": 1, "showFractionHint": true, "unitTests": [], "correctAnswerFraction": false, "variableReplacements": [], "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "prompt": "<p>The sum is 12</p>", "showCorrectAnswer": false, "extendBaseMarkingAlgorithm": true}, {"showFeedbackIcon": true, "customName": "", "variableReplacementStrategy": "originalfirst", "useCustomName": false, "minValue": "1/3", "maxValue": "1/3", "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "mustBeReduced": false, "adaptiveMarkingPenalty": 0, "scripts": {}, "allowFractions": true, "marks": 1, "showFractionHint": true, "unitTests": [], "correctAnswerFraction": false, "variableReplacements": [], "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "prompt": "<p>The sum is 10</p>", "showCorrectAnswer": false, "extendBaseMarkingAlgorithm": true}]}, {"name": "BMA1020 - 1_10", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Bernt Jensen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3803/"}], "variable_groups": [], "statement": "<p>You are rolling four fair six-sided dice. Calculate the following and write the answer as a fraction.</p>", "advice": "", "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "preamble": {"js": "", "css": ""}, "tags": [], "ungrouped_variables": [], "metadata": {"licence": "None specified", "description": ""}, "functions": {}, "parts": [{"customName": "", "showFractionHint": true, "minValue": "146/1296", "adaptiveMarkingPenalty": 0, "variableReplacements": [], "correctAnswerFraction": false, "prompt": "<p>What is the probability that the sum is 14?</p>", "correctAnswerStyle": "plain", "scripts": {}, "mustBeReduced": false, "unitTests": [], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "maxValue": "146/1296", "allowFractions": true, "showCorrectAnswer": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "marks": 1, "type": "numberentry", "useCustomName": false}], "rulesets": {}}]}], "feedback": {"feedbackmessages": [], "showactualmark": false, "showanswerstate": false, "allowrevealanswer": false, "advicethreshold": 0, "intro": "", "showtotalmark": false}, "duration": 0, "name": "BMA1020 - Homework 1", "showQuestionGroupNames": false, "metadata": {"licence": "None specified", "description": ""}, "timing": {"allowPause": true, "timeout": {"message": "", "action": "none"}, "timedwarning": {"message": "", "action": "none"}}, "percentPass": "0", "contributors": [{"name": "Bernt Jensen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3803/"}], "extensions": [], "custom_part_types": [], "resources": []}