Question

P(A) = 1/2

P(ANB) = 1/5
What will P(B) have to be for A and B to be independent?
4/10
1/10
03/10
7/10

Answer 1

4/10

Explanation:

If A and B are independent events, P(A∩B) = P(A).P(B)
Therefore, P(B) = P(A∩B) /P(A)

P(A∩B) = 1/5, P(A) = 1/2

P(B) = 1/5 ÷ 1/2 = 1 /5 * 2/1 = 2/5 which is 4/10 if you multiply numerator and denominator by 2