Question
P(A) = 0.3 P(B) = 0.4A and B are independent. P(A and B ) = ?
Answer
$$ P(A \text{ and } B) = 0.12 $$
Explanation
To find $ P(A \text{ and } B) $ we use multiplication rule for independent events:
$$ \color{blue}{P(A \text{ and } B) = P(A) \cdot P(B)} $$In this example we have:
$$ \begin{aligned} P(A \text{ and } B) &= P(A) \cdot P(B) \\ P(A \text{ and } B) &= 0.3 \cdot 0.4 \\ P(A \text{ and } B) &= 0.12 \end{aligned}$$This page was created using
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