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Stacy rolls a pair of six-sided fair dice.

The probability that the sum of the numbers rolled is either a multiple of 3 or an even number is __?__ and the two events are ___?___exclusive.

User AlexCon
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Answer:

The probability that the sum of the numbers rolled is either a multiple of 3 or an even number is 24/36 = 2/3

The two events are mutually exclusive

Explanation:

we first need to create a table of the sample space from the experiment, the sum of the numbers rolled. Find the attached for a depiction of the possible outcomes.

The probability that the sum of the numbers rolled is either a multiple of 3 or an even number will be given by counting the numbers that are either even or multiples of 3 and then dividing by the number of possible outcomes, 36.

In our case this will be;

24/36 = 2/3

Stacy rolls a pair of six-sided fair dice. The probability that the sum of the numbers-example-1
User Utkarsh Dixit
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