Question

Two events A and B are such that $P\left(A\right)=0.2,P\left(B\right)=0.3$and $P(A\cup B)=0.5$.Find $P(A\cap B).$

• A. $0$
• B. $0.2$
• C. $0.3$
• D. $0.5$

Answer 1

The correct option is A $0$

Given $P(A\cup B)=0.5,P\left(A\right)=0.2,P\left)\right(B)=0.3$

$P(A\cup B)=P\left(A\right)+P\left(B\right)-P(A\cap B)$

$0.5=0.2+0.3-P(A\cap B)$

$P(A\cap B)=0$