A drawer has 4 red socks and 2 blue socks. What is the probability of a match after picking 2 socks?

1 Answer
Mark D.
Jun 20, 2018

If you picked a red sock 4/6, if you picked another one it would be 3/5 as the total number of socks has gone down as well as the number of red ones.

P(RR)=4/6xx3/5=12/30

If you picked a blue sock 2/6, if you picked another one it would be 1/5

P(BB)=2/6xx1/5=2/30

Probability of picking a matching pair would be 2 reds OR 2 blues

P(PAIR)=12/30+2/30=14/30=7/15

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