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Complement of an Event

An experiment...

Question

An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events:

A: the sum is greater than 8, B: 2 occurs on either die

C: The sum is at least 7 and a multiple of 3.

Which pairs of these events are mutually exclusive?

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Solution

When a pair of dice is rolled, the sample space is given by

It is observed that

A ∩ B =Φ

B ∩ C =Φ

Hence, events A and B and events B and C are mutually exclusive.

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