Question

Let A and B be events with P(A) = 0.61 and P(A ∩ B) = 0.39. For what value of P(B) will A and B be independent?

Answer 1

`P(B) = 0.64`

Step-by-step explanation:

Given

`P(A) = 0.61`

`P(A\ n\ B) = 0.39`

Required

Determine P(B)

If A and B are independent, then:

`P(A\ n\ B) = P(A) * P(B)`

Substitute values for P(A) and P(A n B)

`0.39 = 0.61 * P(B)`

Make P(B) the subject

`P(B) = (0.39)/(0.61)`

`P(B) = 0.64` --- approximated