Question

In two separate drawers there are 12 pairs of socks 5 of which are white and 10 t shirts 6 of which are white. If you randomly select one pair of socks from one drawer and one t shirt from the other drawer, what is the probability that both are white? Express your answer as a reduced fraction.

Answer 1

Probability

Explanation:

To find the probability that both the selected pair of socks and t-shirt are white, we need to calculate the probability of selecting a white pair of socks from the first drawer and a white t-shirt from the second drawer.

The probability of selecting a white pair of socks from the first drawer is 5/12, as there are 5 pairs of white socks out of the total of 12 pairs.

Next, the probability of selecting a white t-shirt from the second drawer is 6/10 since there are 6 white t-shirts out of the total of 10.

To find the probability of both events happening together, we multiply the individual probabilities:

(5/12) * (6/10) = 30/120 = 1/4

Therefore, the probability that both the selected pair of socks and t-shirt are white is 1/4.