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?

Asked by Abhisek | 11 months ago |  108

1 Answer

Solution :-

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

Let us assume that 1, 2, 3, 4, 5 and 6 are the possible out comes when the die is thrown.

Accordingly,

It is observed that

A∩ B = φ

B ∩ C = φ

A ∩ C {(3,6), (4,5), (5,4), (6,3), (6,6)}

=  {(3,6), (4,5), (5,4), (6,3), (6,6)} ≠ φ

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

Answered by Pragya Singh | 11 months ago

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