SOLUTION: An executive committee consists of 13 ​members: 6 men and 7 women. 3 members are selected at random to attend a meeting in Hawaii. The names are drawn from a hat. What is the pro

Algebra ->  Probability-and-statistics -> SOLUTION: An executive committee consists of 13 ​members: 6 men and 7 women. 3 members are selected at random to attend a meeting in Hawaii. The names are drawn from a hat. What is the pro      Log On


   

Question 1134040: An executive committee consists of 13 ​members: 6 men and 7 women. 3 members are selected at random to attend a meeting in Hawaii. The names are drawn from a hat. What is the probability that all 3 selected are men​?

Answer by Glaviolette(140) About Me  (Show Source):
You can put this solution on YOUR website!
The probability that the first selection is a man is 6/13. Once that selection is made, there are only 5 men left out of 12 people. For the third slot, there would be 4 men out of 11 people.
P(3 men) = 6/13 * 5/12 * 4/11 = .0699