Use Bayes' Theorem to Find the Indicated Probability One of the 100 Test Subjects Is Selected at Random

Multiple Choice

Use Bayes' theorem to find the indicated probability.
-Use the results summarized in the table. $$\begin{array} { l | c c } & \text { Approve of mayor } & \text { Do not approve of mayor } \\\hline \text { Republican } & 15 & 13 \\\text { Democrat } & 20 & 17 \\\text { Independent } & 12 & 23\end{array}$$
One of the 100 test subjects is selected at random. Given that the person selected approves of the mayor, what is the probability that they vote Democrat?

A) 0.313
B) 0.578
C) 0.426
D) 0.541