Bayes' Theorem

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A population of American voters is made up out of $30\%$ Democrats and $70\%$ Republicans.

It is reported that $42\%$ of Democrats and $20\%$ of Republicans favor a particular election issue.

A randomly chosen person from this population is found to favor the issue in question. What is the probability that this person is a Democrat? Round your answer to $3$ decimal places.

$\mathbb{P}(\text{Person is a Democrat}\,|\,\text{Person favors the issue})=$

3. Probability: Probability

Bayes' Theorem