A and B are two independent events such that (P(A) = frac{2}{5}) and (P(A cap B) = frac{1}{15}). Find (P(B)).
-
A.
(frac{3}{5}) -
B.
(frac{1}{3}) -
C.
(frac{1}{6}) -
D.
(frac{2}{15})
Correct Answer: Option C
Explanation
For independent events A and B, (P(A cap B) = P(A) times P(B))
(frac{1}{15} = frac{2}{5} times P(B))
(P(B) = frac{1}{15} div frac{2}{5})
(P(B) = frac{1}{6})