For all events A and B, the conditional probabilities $$P ( A \mid B ) \text { and } P ( B \mid A )$$ are equal.

Name: For all events A and B, the conditional probabilities \[P ( A \mid B ) \text { and } P ( B \mid A )\] are equal.
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Quizplus · Accepted Answer

The conditional probabilities $P(A|B)$ and $P(B|A)$ are generally not equal because $P(A|B) = \frac{P(A \cap B)}{P(B)}$ and $P(B|A) = \frac{P(B \cap A)}{P(A)}$, and the denominators $P(B)$ and $P(A)$ are usually different.

For All Events a and B, the Conditional Probabilities P(A∣B) and P(B∣A)P ( A \mid B ) \text { and } P ( B \mid A )P(A∣B) and P(B∣A)

For All Events a and B, the Conditional Probabilities $P ( A \mid B ) \text { and } P ( B \mid A )$