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 :

Answer:

[tex]C\text{ ; }\frac{1}{13}[/tex]

Explanation:

We consider each of the pairs as a single unit

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

[tex]4\text{ + 2 + 7 = 13}[/tex]

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

[tex]\frac{4}{13}[/tex]

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:

[tex]\frac{3}{12}\text{ = }\frac{1}{4}[/tex]

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

We have that as:

[tex]\frac{1}{4}\times\frac{4}{13}\text{ = }\frac{1}{13}[/tex]

Other Questions