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Which of the following are mutually exclusive events?
", "showCorrectAnswer": true, "variableReplacements": [], "distractors": ["", "", "", ""], "choices": ["Rolling a $\\var{even}$ on a die, and rolling an odd number.
", "Picking an Ace at random from a deck of cards, and picking a Spade.
", "Walking, and scratching your head.
", "Flipping a coin and getting heads, and flipping that coin and getting tails.
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", "licence": "Creative Commons Attribution 4.0 International"}, "preamble": {"js": "", "css": ""}, "variablesTest": {"maxRuns": 100, "condition": ""}, "tags": [], "variable_groups": [], "ungrouped_variables": ["even"], "variables": {"even": {"name": "even", "definition": "random(2,4,6)", "description": "", "templateType": "anything", "group": "Ungrouped variables"}}, "statement": "", "advice": "Mutually exclusive events are events that cannot happen at the same time.
\n\nWhen you roll a die, it is only possible for the die to land on one number. Therefore it is impossible to roll both a $\\var{even}$ and an odd number, which means that these events are mutually exclusive.
\nIt is possible to walk while scratching your head, so these events are not mutually exclusive.
\nIt is impossible to obtain both a heads and a tails when you flip a coin, so these events are mutually exclusive.
\nIn a standard deck of cards, there is a card which is both an Ace and a Spade, the Ace of Spades.
\n\nTherefore it is possible to randomly select a card from such a deck which is both an Ace and a Spade, which means that these events are not mutually exclusive.
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