Question

There are 4 brown socks and 14 blue socks in a drawer. In the dark, Jason pulls out a sock and puts it on his right foot. Then he pulls

out another sock and puts it on his left foot.
What is the probability that Jason has two brown socks on his feet?

Answer 1

2/51

Explanation:

# of brown socks = 4

# of blue socks = 14

total # of socks = 18

The probability of pulling 1 brown sock = 4/18

If he were to pull one brown sock there would be 1 less sock in the total # of socks and 1 less in the # of brown socks

So after the first pull ( if it were to be a brown sock )

there would only be 3 brown socks and 17 total socks

So the probability of pulling a brown sock then would be 3/17

Finally we multiply the two probabilities to get the answer

4/18 * 3/17 = 2/51

Hence, the answer is 2/51