Question

A sock drawer contains 18 blue socks and 10 black socks if two socks are randomly drawn from the drawer without replacement what is the probability that two blue socks are drawn

Answer 1

`(17)/(42)`

Explanation:

The odds of the first sock being blue is:

`(18)/(28)` or reduced to
`(9)/(14)`

The odds for the second sock being blue is:

`(17)/(27)`

The odds of both happening is

`(9)/(14) X (17)/(27) = (153)/(378)`

This can be simplified by 9 resulting in
`(17)/(42)`