SOLUTION: Assume that 8 competitors in a race are 4 men and 4 women. All are equally fit. What is the probability the top 3 finishes will include exactly one woman?
Algebra ->
Probability-and-statistics
-> SOLUTION: Assume that 8 competitors in a race are 4 men and 4 women. All are equally fit. What is the probability the top 3 finishes will include exactly one woman?
Log On
Question 263018: Assume that 8 competitors in a race are 4 men and 4 women. All are equally fit. What is the probability the top 3 finishes will include exactly one woman? Answer by palanisamy(496) (Show Source):
You can put this solution on YOUR website! There are 4 men and 4 women.
The top 3 finishes will include exactly one woman.
Out of 8 competitors 3 can be selected in 8C3 = (8*7*6)/(1*2*3) = 56 ways
Out of 4 women 1 can be selected in 4 ways.
Out of 4 men 2 can be selected in 4C2 = (4*3)/(1*2) = 6 ways.
Number of favorable ways = 4*6 = 24
The probability the top 3 finishes will include exactly one woman = 24/56
= 3/7
(