Use Bayes' Rule to Find the Indicated Probability

question 57

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