$$\text { Let } A \text { and } B \text { be events with } P ( A ) = 0.7 , P ( B ) = 0.3 \text {, and } P ( B \mid A ) = 0.2 \text {. Find } P ( A \text { and } B ) \text {. }$$
A) 0.29
B) 0.21
C) 0.14
D) 0.06

Question

Quizplus · Accepted Answer

The probability of A and B occurring together, $P(A \text{ and } B)$, can be found using the formula for conditional probability: $P(A \text{ and } B) = P(B|A) \times P(A)$. Substituting the given values, we get $0.2 \times 0.7 = 0.14$.

A) 029 B) 0

A) 029
B) 0