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

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- October 28th 2008, 10:28 AMmath_leteprobability
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 - October 28th 2008, 11:21 AMSoroban
Hello, math_lete!

There are at least two ways to approach this problem . . .

Quote:

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: .