If $P(A)=0.5$ and $P(B/A)=0.4$, then by the multiplication theorem, $P…

Question

If $P(A)=0.5$ and $P(B/A)=0.4$, then by the multiplication theorem, $P(A\cap B)$ equals

Accepted Answer

B. $0.2$

Using the multiplication theorem, $P(A\cap B)=P(A)\,P(B/A)=0.5	imes 0.4=0.2$.
A common error is to add the probabilities or to confuse $P(B/A)$ with $P(B)$.

Answer

$0.9$

Answer

$0.1$

Answer

$0.4$

If $P(A)=0.5$ and $P(B/A)=0.4$, then by the multiplication theorem, $P(A\cap B)$ equals

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