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Mutually exclusive events are events that cannot happen at the same time.

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When 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.

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It is possible to walk while scratching your head, so these events are not mutually exclusive.

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It is impossible to obtain both a heads and a tails when you flip a coin, so these events are mutually exclusive.

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In a standard deck of cards, there is a card which is both an Ace and a Spade, the Ace of Spades.

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Therefore 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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Given descriptions of some pairs of random events, pick the ones which are mutually exclusive.

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Rolling a \$\\var{even}\$ on a die, and rolling an odd number.

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Picking an Ace at random from a deck of cards, and picking a Spade.

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