SOLUTION: Four blue socks four white socks and four gray socks are mixed in a drawer you pull out 2 one at a time. What is the probability of getting a pair of socks the same color?

Question 320574: Four blue socks four white socks and four gray socks are mixed in a drawer you pull out 2 one at a time. What is the probability of getting a pair of socks the same color?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
There are 4 blue + 4 white + 4 gray socks = 12 socks total

So there are essentially three possible scenarios:

1) You pick a blue sock. The chances of you picking another blue sock are: # of blue socks (remaining)/# of socks total (leftover) = 3/11 = 0.2727 which is about a 27.3% chance.

For the other two scenarios, the answer is the same, but the color is different.

2) You pick a white sock. The chances of you picking another white sock are: # of white socks (remaining)/# of socks total (leftover) = 3/11 = 0.2727 which is about a 27.3% chance.

3) You pick a gray sock. The chances of you picking another gray sock are: # of gray socks (remaining)/# of socks total (leftover) = 3/11 = 0.2727 which is about a 27.3% chance.

So no matter what color you choose, the chances of picking a second sock of the same color is about a 27.3% chance.
RELATED QUESTIONS
Assessment 9-2A p. 550#16 16. Four blue socks, four white socks, and four gray socks are (answered by edjones)

Eight blue socks, four white socks, and six gray socks are mixed in a drawer. You... (answered by math_tutor2020)

Mixed in a drawer are 4 blue socks, 6 white socks, and 88 gray socks. You pull out... (answered by greenestamps)

Mixed in a drawer are 4 blue socks, 6 white socks, and 8 gray socks. You pull out... (answered by ikleyn)

Last one...probabilty is not my friend...LOL Four white socks, 6 blue and 8 gray socks (answered by CharlesG2)

8 blue socks, 4 green socks, 2 white socks in a drawer. What is the probability that you... (answered by stanbon)

Stephen has four blue socks and six gray socks in a drawer. What is the least number of... (answered by Theo)

In the dryer there are 18 red socks, 24 white socks, 8 blue socks and 10 black socks.... (answered by Edwin McCravy)

A drawer contains 18 black socks comma 18 white socks comma and 18 blue socks18 black... (answered by ikleyn)