Amy has 12 pairs of white socks, 2 pairs of gray socks, and 6 pairs of black socks in her drawer. if she takes two pairs without

Question

Natasha_Volkova [10]

3 years ago

9

Amy has 12 pairs of white socks, 2 pairs of gray socks, and 6 pairs of black socks in her drawer. if she takes two pairs without

replacement, what is the probability that she will take a white pair and gray pair?

Mathematics

1 answer:

KIM [24] · Answer 1 · 2021-12-22T21:10:49+03:00

HI!
First of all, there are total 12 + 2 + 6 = 20 pairs of socks.
Probability of getting a pair of white socks the first time is 12/20.
Probability of getting a pair of gray socks without replacement, if first one was white, is 2/19
Therefore the probability t<span>hat she will take a white pair and gray pair</span> without replacement is 6/95 (I multiplied the two probabilities)
Let me know if there are any other questions!