Question

A sock drawer contains 5 different colors of socks. It has 20 white, 10 black, 10 gray, 6 red, and 4 purple. If you reach into the drawer and choose a sock randomly, what is the probability you will get a black sock? (Write your final answer as a fraction.)

P (black) = StartFraction Number of favorable outcomes over Total number of outcomes EndFraction



P(black) =

Answer 1

Number of favorable outcomes = 10 (black socks).
Total number of outcomes = 20 + 10 + 10 + 6 + 4 = 50.

P(black) = 10/50 = 1/5