Question
P(A) = 0.6 P(A and B) = 0.02 P(A or B) = 0.98 P(B) = ?
Answer
$$ P(B) = 0.4 $$
Explanation
To find $ P(B) $ we use an addition rule:
$$ \color{blue}{P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B)}$$In this example we have:
$$ \begin{aligned} P(A \text{ or } B) &= P(A) + P(B) - P(A \text{ and } B) \\ 0.98 &= 0.6 + P(B) - 0.02 \\ P(B) &= 0.98 - 0.58 \\ P(B) &= 0.4 \end{aligned}$$This page was created using
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