Question

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

Answer 1

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`