Wing Foot Is a Shoe Franchise Commonly Found in Shopping $$P ( A \text { and } B )$$

Multiple Choice

Wing Foot is a shoe franchise commonly found in shopping centers across the United States. Wing Foot knows that its stores will not show a profit unless they gross over $940,000 per year. Let A be the event that a new Wing Foot store grosses over $940,000 its first year. Let B be the event that a store grosses over $940,000 its second year. Wing Foot has an administrative policy of closing a new store if it does not show a profit in either of the first two years. Assume that the accounting office at Wing Foot provided the following information: 64% of all Wing Foot stores show a profit the first year; 73% of all Wing Foot store show a profit the second year (this includes stores that did not show a profit the first year) ; however, 84% of Wing Foot stores that showed a profit the first year also showed a profit the second year. Compute , if , and . Round your answer to the nearest hundredth. $$P ( A \text { and } B )$$ $$P ( A ) = 0.64$$ $$P ( B ) = 0.73$$ $$P ( B \mid A ) = 0.84$$

A) 0.76
B) 0.87
C) 0.53
D) 0.84
E) 0.54