This is question of probability finding using bayes theorem It is used to calculate probability of two competing statements now p(m) = .55 p(~m)= .45 now for basketball for male p(b|m)=.30 and for female p(b|~m)=.20 so by bayes theorem p(m|b)=p(b|m)*p(m)/(p(b|m)*p(m)+p(b|~m)*p(~m)) so answer is E (.55)(.30) / (.55)(.30) + (.45)(.20)
