Question

Randa is playing a board game. The players take turns rolling a pair of numbercubes. On her next turn, Randa must roll a 5 to win the game, but if she rollsdoubles, she gets an extra turn. Explain why the events “roll a 5" and "rolldoubles" are mutually exclusive. *The events aren't mutually exclusive -- they are overlapping.The events are mutually exclusive because the sum of a double roll can never equal 5.O The events are mutually exclusive because you only roll one cube to get a 5.

Answer 1

Let the probability of rolling a 5 be 1/9

and the probability of rolling doubles is 1/6

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Two events are disjoints or mutually exclusive if the events cannot occur at the same time

It is not possible to roll botha sum of 5 and a double (as the sm is even when you roll a double) the events are mutually exclusive

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and the probability of rolling doubles is 16

6

1

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