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Chapter 8: Problem 58

What are mutually exclusive events? Give an example of two events that are mutually exclusive.

Short Answer

Expert verified
Mutually exclusive events are events that cannot occur simultaneously. For instance, when flipping a coin, getting a 'head' and a 'tail' are mutually exclusive events because if one event occurs, the other cannot.

Step by step solution

01

Define Mutually Exclusive Events

Mutually exclusive events are events that cannot occur at the same time. In terms of probability theory, if event A happens, then event B cannot happen and vice versa. The intersection of these events is an empty set, which means there is no outcome that is common to both events. In other words, the occurrence of one event excludes the possibility of the occurrence of the other.
02

Give an Example

A classic example of mutually exclusive events is flipping a coin. The results of heads and tails are mutually exclusive. If the coin lands on heads, it cannot also land on tails, and vice versa.

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