Two people are selected from a group of 3 men and 2 women. Find the probability that both are men given that both are of the same sex.

Question

Two people are selected from a group of 3 men and 2 women. Find the probability that both are men given that  both are of the same sex.

anonymous · Answer

the answer is .75 i just need to know how to solve

ganeshie8 · Answer

since you know that both are of same sex, your sample space contains all the outcomes of choosing two same sex people from 3 men and 2 women

ganeshie8 · Answer

you can pick 2 men from 3 men in $\large \binom{3}{2} = 3$ ways
you can pick 2 women from 2 women in $\large \binom{2}{2} = 1$ ways

ganeshie8 · Answer

so total number of outcomes = 4
number of favorable out comes = 3

take the ratio for the probabbility

ganeshie8 · Answer

you could also use conditional probability formula

anonymous · Answer

does (3 2)=3/2

anonymous · Answer

thanks

paxpolaris · Answer

$$3\choose 2$$ means 3-choose-2