A drawer contains only socks and gloves. There are twice as many socks as gloves. The socks are either red or yellow, and 4 times as many socks are red as are yellow. If one article is to be drawn at random from the drawer, what is the probability that the article of clothing drawn will be a yellow sock?
A. 0.133
B. 0.2
C. 0.25
D. 0.5
We want to determine the probability of drawing a certain type of sock. With probability, the key is to break it into its components and then put the proper ratios together.
socks = 2 gloves
socks: red = 4 yellow
probability of drawing sock: 2/3
probability of drawing yellow sock: 1/5
probability of yellow(1/5) sock(2/3):
1/5 x 2/3 = 2/15 = .133