Question

In your sock drawer, you have 12 blue socks and 12 yellow socks. It is dark in the morning when you are getting dressed, and you can't see the color of the socks. Suppose you pick two socks and one is yellow and one is blue. What is the probability that the third sock you pick will be blue?

A. 1/11
B. 1/24
C. 1/2
D. 1/12
E. 1/22

Answer 1

The answer to your problem is, C.
`(1)/(2)`

Explanation:

If there are 12+12 = 24 socks in the drawer

P(yellow) = number of yellow socks/ total socks

=
`(12)/(24)`

=
`(1)/(2)`

Thus the answer to your problem is, C.
`(1)/(2)`

Could not think of any other explanation.

Answer 2

:A 50%

Explanation:

After subtracting 1 yellow sock and 1 blue sock, there are 11 blue and 11 yellow socks left.

So a 22 sock total.

The probability of picking another blue sock on the third try is the ratio of blue socks to total socks:

11/22 = 1/2=50%