there are 50000at a staduim watching soccer match and 40000

there are 50,000at a staduim watching soccer match, and 40,000 of them are male. if 2 people are chosen at random, what is the probability that both of them are male?

Solution

2 People are randonly selected from 40000 Male= nCr(40000,2)

2 People are randonly selected from Total = nCr(50000,2)

P( 2 People are randonly selected are Male) = nCr(40000,2) / nCr(50000,2) = (40000*39999/ 2*1) / (50000*49999)/ 2*1) = (40000*39999) / (50000*49999) =  (4*39999) / (5*49999) = 0.6399