Question 13912
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
----------------
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.