If P (A) = 0.5, P (B) = 0.3, and P (A or B) = 0.6, find P (A and B)

Question

Mathematics

Soren Huerta

26 January, 05:42

If P (A) = 0.5, P (B) = 0.3, and P (A or B) = 0.6, find P (A and B)

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Marely · Answer 1

P (A or B) = P (A) + P (B) - P (A and B), which means that the probability that A or B occurs is equal to the probability that A occurs plus the probability that B occurs minus the probability that both A and B occur.

So, you know P (A), P (B) and P (A or B) and you can solve for P A and B) = >

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

P (A and B) = 0.5 + 0.3 - 0.6 = 0.8 - 0.6 = 0.2

Answer: P (A and B) = 0.2