SOLUTION: This is my problem: Three boys and two girls want to be on the softball team. If the coach chooses two of them at random, what is the probability that: one boy and one girl wi

Question 13912: This is my problem: Three boys and two girls want to be on the softball team. If the coach chooses two of them at random, what is the probability that:
one boy and one girl will be chosen?
two boys will be chosen?
two girls will be chosen?
I already submitted it to my teacher and got it wrong...help! Thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Three boys and two girls want to be on the softball team. If the coach chooses two of them at random, what is the probability that:

two boys will be chosen?
Choose 2 boys in 3C2=3 ways
Choose 2 of any gender = 5C2=10
Therefore P(2 boys) = 3/10
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two girls will be chosen?
Choose two girls in 2C2=1 way
Choose 2 of any gender = 10
Therefore P(2 girls) = 1/10
-------------------
one boy and one girl will be chosen?
P(one boy and one girl)= 1-[prob(2 boys)+2(girls)] = 1-((3/10)+(1/10))=6/10
--------------
Cheers,
Stan H.

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