Question

A drawer contains loose socks. There are 2 blue and 4 black socks in the drawers. What is the probability that you

choose a sock without looking, then choose a second sock (keeping the first in your hand) without looking and end
up with a pair of black socks?

1/3
1/9
2/30
2/5

Answer 1

Black: 4/6 x 3/5 = 12/30 = 2/5 = 40%

answer: 2/5

Explanation:

Answer 2

Explanation:

Step 1: Find the probability of choosing a black sock

`Black\ Socks \ / \ Total\ Number\ of \ Socks`

`4 / 6`

`2/3`

Step 2: Find the probability of choosing another black sock

`Black\ Socks-1 \ / \ Total\ Number\ of \ Socks-1`

`(4 - 1) / (6 - 1)`

`3/5`

Step 3: Multiply them together to get the probability

`2/3 * 3/5`

`2/5`

Answer: Option D, 2/5