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

Step-by-step 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

Answer 2

Answer:

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

answer: 2/5

Step-by-step explanation: