math
posted by Michael on .
A drawer contains 2 brown and 3 gray socks. THe socks are taken out of the drawer one at a time. WHat is the probability that the fourth sock removed is gray? Express your answer as a common fraction.
Can anyone explain this to me? Thanks!!

3/5

there are 10 ways to arrange the 5 socks
5!/2!3!) = 10
lets list them in an organized way:
BBGGG
BGBGG
BGGBG
BGGGB
GBBGG
GBGBG
GBGGB
GGBBG
GGBGB
GGGBB
Looks like the G is in the 4th spot 6 times
so the prob is 6/10 = 3/5 
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