If $A\ and\ B$ are events of the same experiments with $P(A) = 0.2,\ P(B) = 0.5$ ,then maximum value of $P(A' \cap B)$ is

Question

Dr. Abubacker · Accepted Answer

(b)
$P\left( A^{'} \right) = 1 - P(A) = 0.8,\ P(A^{'} \cap B)$ will maximum, if $B \subseteq A'$ in which case $A^{'} \cap B = B.$ So,
$P\left( A^{'} \cap B \right) = P(B) = 0.5$

Q. If $A\ and\ B$ are events of the same experiments with $P(A) = 0.2,\ P(B) = 0.5$ ,then maximum value of $P(A' \cap B)$ is

Explanation

Reviewed by Dr. Abubacker

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