SOLUTION: From a committee of 6 girls and 4 boys, a name is selected. Then another name is selected. What is the probability that both people drawn will be girls?

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Question 736638:
From a committee of 6 girls and 4 boys, a name is selected. Then another name is selected. What is the probability that both people drawn will be girls?
Found 3 solutions by lynnlo, ikleyn, greenestamps:
Answer by lynnlo(4176)   (Show Source):
You can put this solution on YOUR website!
6/10,5/9

Answer by ikleyn(53763)   (Show Source):
You can put this solution on YOUR website!
.
From a committee of 6 girls and 4 boys, a name is selected. Then another name is selected.
What is the probability that both people drawn will be girls?
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= = . ANSWER

Solved.

Answer by greenestamps(13334)   (Show Source):
You can put this solution on YOUR website!

The solution from the other tutor uses one of two basic ways to solve the problem, by looking at the probabilities that each of the two selections, one after the other -- 6/10 probability for the first and then 5/9 probability for the second, giving the answer of (6/10)*(5/9) = 30/90 = 1/3.

The other basic way of solving the problem is using the "a choose b" concept.

In this problem, we are choosing 2 of the total of 10 people ("10 choose 2"), and the outcome we want is choosing 2 of the 6 girls ("6 choose 2"). The probability of getting the desired outcome (number of good outcomes divided by total number of possible outcomes) is then