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{"name": "Mutually exclusive events MCQ", "extensions": [], "custom_part_types": [], "resources": [["question-resources/aceOfSpades.svg", "/srv/numbas/media/question-resources/aceOfSpades.svg"], ["question-resources/aceOfSpades_NnxOXmM.svg", "/srv/numbas/media/question-resources/aceOfSpades_NnxOXmM.svg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"advice": "<p>Mutually exclusive events are events that cannot happen at the same time.</p>\n<p></p>\n<p>When you roll a die, it is only possible for the die to land on one number. Therefore it is&nbsp;<strong>impossible</strong> to roll both a $\\var{even}$ <strong>and</strong> an odd number, which means that these events <strong>are</strong> mutually exclusive.</p>\n<p>It is <strong>possible</strong> to walk while scratching your head, so these events are <strong>not</strong> mutually exclusive.</p>\n<p>It is <strong>impossible</strong> to obtain both a heads<strong> and</strong> a tails when you flip a coin, so these events <strong>are</strong> mutually exclusive.</p>\n<p>In a standard deck of cards, there is a card which is both an Ace <strong>and</strong> a Spade, the Ace of Spades.</p>\n<p><img width=\"133\" height=\"182\" style=\"margin-right: auto; margin-left: auto; display: block;\" src=\"resources/question-resources/aceOfSpades_NnxOXmM.svg\"/></p>\n<p>Therefore it is&nbsp;<strong>possible</strong> to randomly select a card&nbsp;from such a deck which is both an Ace <strong>and</strong>&nbsp;a Spade,&nbsp;which means that these&nbsp;events are <strong>not</strong> mutually exclusive.&nbsp;&nbsp;</p>", "statement": "", "variables": {"even": {"group": "Ungrouped variables", "name": "even", "description": "", "templateType": "anything", "definition": "random(2,4,6)"}}, "tags": ["Multiple Choice", "multiple choice", "Multiple choice", "Mutually exclusive events", "Probability", "probability", "taxonomy"], "ungrouped_variables": ["even"], "functions": {}, "name": "Mutually exclusive events MCQ", "preamble": {"js": "", "css": ""}, "extensions": [], "type": "question", "variable_groups": [], "parts": [{"variableReplacements": [], "maxMarks": "2", "shuffleChoices": false, "distractors": ["", "", "", ""], "variableReplacementStrategy": "originalfirst", "displayType": "checkbox", "warningType": "prevent", "choices": ["<p>Rolling a $\\var{even}$ on a die, and rolling an odd number.</p>", "<p>Picking an Ace at random from a deck of cards, and picking a Spade.</p>", "<p>Walking, and scratching your head.</p>", "<p>Flipping a coin and getting heads, and flipping a coin and getting tails.</p>"], "scripts": {}, "displayColumns": "1", "showCorrectAnswer": true, "type": "m_n_2", "maxAnswers": "4", "minAnswers": "1", "marks": 0, "prompt": "<p>Which of the following are mutually exclusive events?</p>", "matrix": ["1", "-1", "-1", "1"], "showFeedbackIcon": true, "minMarks": "0"}], "variablesTest": {"condition": "", "maxRuns": 100}, "metadata": {"description": "<p>Given descriptions of some pairs of random events, pick the ones which are mutually exclusive.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "rulesets": {}, "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Elliott Fletcher", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1591/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Elliott Fletcher", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1591/"}]}