If A and B are events with P(A ∪ B) = (\frac{3}{4}), P(A') =... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

If A and B are events with P(A ∪ B) = $\frac{3}{4}$ , P(A') = $\frac{2}{3}$ and P(A ∩ B) = $\frac{1}{4}$ then P(B) is

A

$\frac{1}{3}$

B

$\frac{2}{3}$

C

$\frac{3}{4}$

D

$\frac{1}{4}$

Answer

$\frac{2}{3}$

Explanation

Solution

The correct option is (B) : $\frac{2}{3}$ .