Question

One drawer in a dresser contains 8 blue socks and 6 white socks. a second drawer contains 3 blue socks and 5 white socks. one sock is chosen from each drawer. what is the probability that they match

Answer 1

Drawer 1: P(blue) = 8/14 P(white) = 6/14
Drawer 2: P(blue) = 3/8 P(white) = 5/8

`P(blue/blue)=(8)/(14)*(3)/(8)=(3)/(14)`

`P(white/white)=(6)/(14)*(5)/(8)=(15)/(56)`

`P(match)=(3)/(14)+(15)/(56)=(27)/(56)`
The answer is: 27/56 or as a decimal fraction 0.482 or as a percentage 48.2%.

Answer 2

The probably would be a chance of matching 74%