Question

Suppose a and b are independent events if p(a/b)=.25 and p(b)=.6 what is P(AnB)?

Answer 1

0.15

Explanation:

Independent Probabilities Formula

P(A | B) = P(A) = P(A ∩ B) ÷ P(B)

P(A | B) = 0.25

P(A) = 0.25

P(B) = 0.6

If P(A) = P(A ∩ B) ÷ P(B)

P(A ∩ B) = P(A) × P(B)

P(A ∩ B) = 0.25 × 0.6

P(A ∩ B) = 0.15