A and B are two events. P (A) = 0.54; P (B) = 0.42; p (A or B) = 0.85. Find the probability of A and B.

Question

Karla Hunt

Mathematics

19 April, 16:40

A and B are two events. P (A) = 0.54; P (B) = 0.42; p (A or B) = 0.85. Find the probability of A and B.

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Answers (1)

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Allison Mcdaniel · Answer 1

0.98

Step-by-step explanation:

Work Shown:

P (A or B) = P (A) + P (B) - P (A and B)

P (A or B) = 0.13 + 0.85 - 0

P (A or B) = 0.98

Note that P (A and B) is 0. This is because we are told A and B are mutually exclusive events. This means both events cannot happen simultaneously. An example would be flipping a coin to have it land on heads and tails at the same time.