A group consists of five 5 men and four 4 women assuming fou

A group consists of five (5) men and four (4) women; assuming four people are selected at random to form a committee, what is the probability that the committee consists of two (2) men and two (2) women. (Round answer to four decimal places)

Please make the final answer in bold so I can easily find it

Solution

Let a \"success\" be drawing a male.

Note that the probability of x successes out of n trials is          
          
P(x) = C(N-K, n-x) C(K, x) / C(N, n)          
          
where          
N = population size =    9      
K = number of successes in the population =    5      
n = sample size =    4      
x = number of successes in the sample =    2      
          
Thus,          
          
P(   2   ) =    0.476190476 = 0.4762 [ANSWER]