Question

in a drawer, there are 12 pairs of socks, 5 of which are white, and 9 t-shirts, 3 of which are white. if you randomly select one pair of socks and one t-shirt, what is the probability that both are white? express your answer as a reduced fraction.

Answer 1

`(5)/(36)`

Explanation:

`\displaystyle P(\text{Both White})\\\\=P(\text{White Sock})*P(\text{White Shirt})\\\\=(5)/(12)*(3)/(9)\\\\=(5)/(12)*(1)/(3)\\\\=(5)/(36)`