On long automobile trips, Mrs. Jones drives and Mr. Jones gives directions. When there is a fork in the road, his directions are right 30 percent of the time and wrong 70 percent of the time. Having been misled many times, Mrs. Jones follows Mr. Jones’s directions 30 percent of the time and does the opposite 70 percent of the time. Assuming independence, how often do they drive down the correct fork in the road? If Mrs. Jones wants to maximize the probability of choosing the correct road, how often should she follow Mr. Jones’s directions?