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Let A and B be mutually exclusive events. Which of the following is always TRUE for these events?Group of answer choicesP(A and B) = P(A) x P(B)P(A or B) = P(A) + P(B)P(A or B) = P(A) + P(B) - P(A) x P(B)all of the above are always true

Question

Let A and B be mutually exclusive events. Which of the following is always TRUE for these events?Group of answer choicesP(A and B) = P(A) x P(B)P(A or B) = P(A) + P(B)P(A or B) = P(A) + P(B) - P(A) x P(B)all of the above are always true

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Solution

The correct answer is "P(A or B) = P(A) + P(B)".

This is because A and B are mutually exclusive events, which means they cannot occur at the same time. Therefore, the probability of either A or B occurring is simply the sum of their individual probabilities.

The other options are not always true for mutually exclusive events. For example, "P(A and B) = P(A) x P(B)" is true for independent events, not mutually exclusive events. Similarly, "P(A or B) = P(A) + P(B) - P(A) x P(B)" is the formula for the union of two events that are not mutually exclusive.

So, the only statement that is always true for mutually exclusive events is "P(A or B) = P(A) + P(B)".

This problem has been solved

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