Question

If $P(A)=0.59,P(B)=0.30$ and $P(A\cap B)=0.21$ then $P\left(A^{{}^{\prime }}\cap B^{{}^{\prime }}\right)=$

• A. 0.11
• B. 0.38
• C. 0.32
• D. 0.35

Answer 1

Answer: (C)

$P\left(A^1\cap B^1\right)=1-P(A\cup B)$
$=1-[0.59+0.3-0.21]$
$=0.32$