Question 472389
5 females and 9 males

Number of ways to select 3 out of total 14 = 14C3= 364

a) number of ways to select 3 when all are female = 5C3 = 10
 
 probability that all are females P(A) = 10/364

 probability that at least one is male P'(A)= 1 - 10/364 

= 354/364 
 
= 0.9725


b) number of ways to select 3 when all there are male = 9C3 = 84

probability that all are male P(B) = 84/364

 probability that at most 2 are male P'(B)= 1 - 84/364 

= 280/364 
 
= 0.76923 (approx)

  
May be some calculation mistakes, try to solve it yourself. 
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