Question

P(A) = 1/2 P(B) = 3/4 and P(A U B) = 3/8 Find P(A n B)

Answer 1

Answer: P ( A n B ) = 7/8

Step-by-step explanation: P ( A U B ) = P(A) + P(B) - P( A n B )

3/8 = 1/2 + 3/4 - P( A n B )

3/8 = 5/4 - P ( A n B )

P ( A n B ) = 5/4 - 3/8

P ( A n B ) = 7/8

Answer 2

P(A n B) = 1/4

Explanation:

We know that:

P(A U B) = P(A) + P(B) - P(A n B)

Substituting the given values, we get:

3/8 = 1/2 + 3/4 - P(A n B)

Simplifying, we get:

P(A n B) = 1/4