Question

A small business employs 7 women and 3 men. The manager randomly selects 3 of them to be on a team. What is the probability that all 3 are women?

Answer 1

The probability of selecting a woman first is 7/10 .
Then there are 6 women left, and 9 total.
The probability of selecting a woman second is 6/9 .
Then there are 5 women left, and 8 total.
The probability of selecting a woman third is 5/8 .
So the probability of all three selections is 7 / 24; about 29.2%
I hope this helps! <3