Question 1198659: from a group of 6 mean and 8 women, 5 people are chosen at random.
find the probability that there are more men chosen that women
Answer by greenestamps(13214)   (Show Source):
You can put this solution on YOUR website!
More men than women means the number of men chosen is 3, 4, or 5.
Number of ways to choose 5 of the 14 people:
C(14,5) [1].
Number of ways to choose 3 of the 6 men and 2 of the 8 women:
C(6,3)*C(8,2) [2].
Number of ways to choose 4 of the 6 men and 1 of the 8 women:
C(6,4)*C(8,1) [3].
Number of ways to choose 5 of the 6 men and 0 of the 8 women:
C(6,5)*C(8,0) [4].
Probability of choosing more men than women:
([2]+[3]+[4])/[1]
Straightforward calculations that you can do without our help....
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