Question

Geometry

A drawer contains 12 white socks and 8 black socks. You randomly choose 1 sock and do not replace it. Then you randomly choose another sock.

a. What is the probability of selecting a white sock first and then a black sock?
b. What is the probability of selecting two white socks?
c. What is the probability of selecting two black socks?

Answer 1

12 white socks, 8 black socks, 20 total socks:

a.

`(12)/(20)\cdot(8)/(19)\approx 0.252631578​947\approx 25.3\%`

b.

`(12)/(20)\cdot(11)/(19)\approx 0.347368421053\approx 34.7\%`

c.

`(8)/(20)\cdot(7)/(19)\approx 0.147368421053 \approx 14.7\%`