Question
P(A) = 0.5 P(B) = 0.6 P(A and B) = 0.4 P(A|B) = ?
Answer
$$ P(A~|~B) \approx 0.66666666666667 $$
Explanation
To find $P(A~|~B)$ we use multiplication rule:
$$\color{blue}{P(A ~|~ B) = \frac{ P(A \text{ and } B)}{P(B)}}$$In this example we have:
$$ \begin{aligned} P(A ~|~ B) &= \frac{ P(A \text{ and } B)}{P(B)} \\ P(A ~|~ B) &= \frac{ 0.4 }{ 0.6 } \\ P(A~|~B) &\approx 0.66666666666667 \end{aligned}$$This page was created using
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