Question

A drawer contains 4 red socks, 6 white socks, and 10 blue socks. Without looking, you

draw out a sock and then draw out a second sock without returning the first sock.
What is the probability that the first sock and the second sock are both white.

Answer 1

3/38

Explanation:

So, you add the total numbers of socks and the total is 20. Since there is 6 white socks the first time you pick, your first fraction is 6/20 (3/10). So since you didn't put the first sock back, now the probability of picking another white sock is 5/19. So now multiply your fractions, and your answer should be 15/190 (Simplifyed 3/38)

Answer 2

`(3)/(38)`

Explanation:

`(6)/(20)\cdot (5)/(19)=(30)/(380)=\boxed{(3)/(38)}`