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Chapter 5: Q 5.51. (page 209)

Answer true or false to the following statement and justify your answer. If event A and event B are mutually exclusive, neither are events A,B and C for every event C.

Short Answer

Expert verified

The claim is untrue.

Step by step solution

01

Step 1. Given information.

Statement: If events A and B are mutually exclusive, then events A, B, and C are mutually exclusive for every event C.

02

Step 2. The claim is untrue.

If events A and B are mutually exclusive, then events A, B, and C are mutually exclusive for every event C.

The give assertion is False, because three occurrences cannot be mutually exclusive if none of their consequences are the same.

Let's say event C is the same as event B then.

B鈭�C=蠒

As a result, in this situation, occurrences A, B, and C are not mutually exclusive.

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