A class consists of 14 men and 22 women A group of five is s

A class consists of 14 men and 22 women. A group of five is selected at random.

Find the probability that the group consists of each: (give answer to decimal places) Please show by steps.

A) At least one man

B) No more than one man

Solution

At least one man= 1- (14C0 * 22C5/38C5) =1-(22*21*20*19*18)/(38*37*36*35*34)=1- 0.05246 = 0.94(ans)

No more than one man = (14C0 * 22C5)/(38C5) + (14C1 +22C4)/38C5 = 0.2478 (ans)