Question

Your sock drawer has 4 pairs of pink socks, 2 pairs of white socks, and 7 pairs of black socks. What is the probability that if you choose at random withough replacement you will choose pink socks 2 days in a row? a 1/4b 1/2c 1/13d 1/6

Answer 1

`C\text{ ; }(1)/(13)`

Step-by-step explanation:

We consider each of the pairs as a single unit

The total number of pairs is thus in the drawer is:

`4\text{ + 2 + 7 = 13}`

The probability of picking a pink sock on the first day is: the number of pink pairs divided by the total number of socks

`(4)/(13)`

On the second day, there would be 12 pairs left and 3 pairs of pink socks

The probability of picking a pink socks would thus be:

`(3)/(12)\text{ = }(1)/(4)`

The probability is the product of the probability on the two days

We have that as:

`(1)/(4)*(4)/(13)\text{ = }(1)/(13)`