A drawer has 6 red socks and 2 blue socks. What is the probability of a match after picking 2 socks? (Enter your probability as a fraction.)

Question

A drawer has 6 red socks and 2 blue socks. What is the probability of a match after picking 2 socks? (Enter your probability as a fraction.)

Answer 1

Well let's list the possibilities

RR 6/8 X 5/7 = 30/56

RB 6/8 x 2/7 = 12/56

BR 2/8 x 6/7 = 12/56

BB 2/8 x 1/7 = 2/56

So two the same (RR or BB) = 30/56 + 2/56 = 32/56 = 16 / 28 = 8/ 14 = 4/7