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.

Question

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!!

Reiny · Accepted Answer

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

Dean · Answer

3/5

Juliet · Answer

A printer can print 10 pages of text per minute or 4 pages of graphics per minute. How many minutes will it take to print 31 pages of text and 7 pages of graphics? Express as a mixed numer.