If A and B are mutually exclusive events such that p(A)=0.5 and p(A ∪ B)=0.75, then P(B) is equal to

Question

If A and B are mutually exclusive events such that p(A)=0.5 and p(A ∪ B)=0.75, then P(B) is equal to (A) 0.4 (B) 0.25 (C) 0.5 (D) 0.6

Tardigrade Admin · Accepted Answer

P(A ∪ B)=P(A)+P(B) P(B)=(A ∪ B)-P(A) =0.75-0.5 =0.25

Q. If $A$ and $B$ are mutually exclusive events such that $p (A) = 0.5$ and $p (A \cup B) = 0.75$ , then $P (B)$ is equal to