Question

In the laundry basket there are 4 black socks, 7 pink socks, and 10 white socks. Allison will randomly select 2 socks from the basket one at a time without replacement. What is the probability that Allison will select 2 pink socks?

Answer 1

Answer:
`(1)/(10)`

Explanation:

Given: In basket, we have

4 black socks, 7 pink socks, and 10 white socks.

Total socks = 4+7+10 = 21

Probability that first sock is pink =
`\frac{\text{Number of pinks socks}}{\text{Total}}=(7)/(21)=\frac13`

Now basket has 6 pink socks left and total socks left= 20

Probability that second sock is pink =
`(6)/(20)=(3)/(10)`

The probability that Allison will select 2 pink socks =
`\frac13*(3)/(10)=(1)/(10)`

Hence, the probability that Allison will select 2 pink socks =
`(1)/(10)`