3. Probability: Probability
Bayes' Theorem
A population of American voters is made up out of #35\%# Democrats and #65\%# Republicans.
It is reported that #67\%# of Democrats and #66\%# 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.
It is reported that #67\%# of Democrats and #66\%# 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})=# |
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