If events A and B are independent and (P(A) = frac{7}{12}) and (P(A cap B) = frac{1}{4}), find P(B).
-
A.
(frac{3}{7}) -
B.
(frac{4}{7}) -
C.
(frac{5}{7}) -
D.
(frac{6}{7})
Correct Answer: Option A
Explanation
(P(A) = frac{7}{12})
(P(A cap B) = frac{1}{4} = P(A) times P(B)) (Independent events)
(frac{1}{4} ÷ frac{7}{12} = frac{1}{4} times frac{12}{7} )
= (frac{3}{7})