Use Bayes' Theorem to Find the Indicated Probability

Multiple Choice

Use Bayes' theorem to find the indicated probability.
-In one town, 7% of 18-29 year olds own a home, as do 27% of 30-50 year olds and 52% of those over 50. According to a recent census taken in the town, 27.5% of adults in the town are 18-29 years old, 38.4% are 30-50 years old, and 34.1% are over 50. If an adult is selected at random from the town and found to be a home-owner, what is the probability that they are aged between 30 and 50?

A) 0.384
B) 0.345
C) 0.27
D) 0.104