Use Bayes' Rule to Find the Indicated Probability

Multiple Choice

Use Bayes' rule to find the indicated probability:
-In Cumberland County, 55% of registered voters are Democrats, 30% are Republicans and 15% are independent. During a recent election, 35% of the Democrats voted, 65% of the Republicans voted, and 75% of the independent voted. What is the probability that someone who voted is a Republican?

A) 0.225
B) 0.39
C) 0.065
D) 0.385