Question

A drawer of socks contains 5 white socks, 3 gray socks and 8 black socks. Sanjay

attempts to pull a pair of white socks from the drawer in the dark. If he does not
replace the first sock before drawing out the second sock, what is the probability
that Sanjay will pull out a pair of white socks on the first try (2 tries, 2 white
socks)? Write your answer as a fraction OR as a decimal rounded to the nearest
thousandth.

Answer 1

Answer: 1/9

Explanation:

First pick and Second pick

`\frac{5\ \text{white socks}}{16\ \text{total socks}}* \frac{4\ \text{remaining white socks}}{15\ \text{total remaining socks}}=(20)/(180)\rightarrow \large\boxed{(1)/(9)}`