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Question

Match the following events with their corresponding mutually exclusive events on rolling of a die.

A
An odd number
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B
Even prime number
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C
Getting '4' or '1'
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D
Getting '3' or '4'
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Solution

Two events are mutually exclusive if they both cannot occur at the same time.

When a die is rolled, we cannot get a number which is both odd and even. Hence they are mutually exclusive events.

Getting {4 or 5} and getting an even prime number {2} are mutually exclusive events.

Getting { 3, 2, or 5} and getting {4 or 1} are mutually exclusive events.

Getting {1 or 2} and getting {3 or 4} are mutually exclusive events.

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