Hi can anybody help with this probability question?
i have 8 purple socks 4 green socks and 4 red socks in a drawer. two socks are chosen without replacement. What is the probability that a pair the same colour is chosen?
thanks
Hello, math_lete!
There are at least two ways to approach this problem . . .
There are 8 purple socks 4 green socks and 4 red socks in a drawer.
Two socks are chosen without replacement.
What is the probability that a pair the same colour is chosen?
Therefore: .
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
There are: possible pairs.
. . There are: ways to get two purple socks.
. . There are: ways to get two green socks.
. . There are: ways to get two red socks.
Hence, there are: . ways to get a matching pair.
Therefore: .