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)
Add it up then you will get answer
It's the letter D hope it helps
