Let A and B be events with $P ( A ) = 0.8 , P ( B ) = 0.4 \text {, and } P ( B \mid A ) = 0.2 \text {. Find } P ( A \text { and } B ) \text {. }$
A) 0.08
B) 0.25
C) 0.32
D) 0.16

Question

Quizplus · Accepted Answer

We can use the formula $P(A 	ext{ and } B) = P(B \mid A) \cdot P(A)$. Plugging in the given probabilities, we get $P(A 	ext{ and } B) = 0.2 \cdot 0.8 = 0.16$. Therefore, the best choice is D.

Let a and B Be Events With P(A)=0.8,P(B)=0.4, and P(B∣A)=0.2. Find P(A and B). P ( A ) = 0.8 , P ( B ) = 0.4 \text {, and } P ( B \mid A ) = 0.2 \text {. Find } P ( A \text { and } B ) \text {. }P(A)=0.8,P(B)=0.4, and P(B∣A)=0.2. Find P(A and B).

Let a and B Be Events With $P ( A ) = 0.8 , P ( B ) = 0.4 \text {, and } P ( B \mid A ) = 0.2 \text {. Find } P ( A \text { and } B ) \text {. }$