Single-Step Bayes Calculation

00:00 3 marks

Suppose in a certain trial, event A occurs with probability 0.3. If A occurs, then outcome B occurs with probability 0.8. Otherwise, if A does not occur, B occurs with probability 0.4. Calculate $P(A|B)$ using Bayes’ theorem.

Hint Hint

Hint

Recall that $P(A|B)$ is given by $\frac{P(B|A)P(A)}{P(B)}$.

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Complete Answer

Approximately 0.4615

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