Question

If $P\left(A\right)=0.25,P\left(B\right)=0.50$ and $P(A\cap B)=0.14$ then $P(A\cap \overline{B})$ is equal to-

• A. 0.61
• B. 0.39
• C. 0.48
• D. 0.11

Answer 1

The correct option is D 0.11

$Given,P\left(A\right)=0.25,P\left(B\right)=0.50,P(A\cap B)=0.14P(A\cap \stackrel{\_}{B})=1-P(\stackrel{\_}{A}\cap B)=P\left(AUB\right)-P\left(B\right)=P\left(A\right)-P(A\cap B)=0.25-0.14=0.11$