Let A and B be two events associated with a random experiment for whic

1.	Let A and B be two events associated with a random experiment for which P(A) = 0.4, P(B) = 0.5 and P(A or B) = 0.6. Find P(A and B).
Answer» Given: P(A) = 0.4, P(A or B) = 0.6 and P(B) = 0.5 We know that, P(A or B) = P(A) + P(B) – P(A and B) By substituting values in the above formula, we get 0.6 = 0.4 + 0.5 – P(A and B) 0.6 = 0.9 – P(A and B) P(A and B) = 0.9 – 0.6 P(A and B) = 0.3 P(A and B) = 0.3

Let A and B be two events associated with a random experiment for which P(A) = 0.4, P(B) = 0.5 and P(A or B) = 0.6. Find P(A and B).

Answer»

Given: P(A) = 0.4, P(A or B) = 0.6 and P(B) = 0.5

We know that, P(A or B) = P(A) + P(B) – P(A and B)

By substituting values in the above formula, we get

0.6 = 0.4 + 0.5 – P(A and B)

0.6 = 0.9 – P(A and B)

P(A and B) = 0.9 – 0.6

P(A and B) = 0.3

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Let A and B be two events associated with a random experiment for which P(A) = 0.4, P(B) = 0.5 and P(A or B) = 0.6. Find P(A and B).

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