Your sock drawer has two white socks, four brown socks, and two black socks. You randomly pick a sock and put it on your left foot and then pick another sock and put it on your right foot. You leave the house with a white sock on your left foot and a brown sock on your right foot. Find the probability of this occuring.

1/7

Step-by-step explanation:

From the above question, we have the following values:

White socks = 2

Brown socks = 4

Black socks = 2

Total number of socks = 8

We are told in the question that:

You randomly pick a sock and put it on your left foot and then pick another sock and put it on your right foot. You leave the house with a white sock on your left foot and a brown sock on your right foot.

From above question, we can see that this is a probability with dependent events. This means have a white sock on your left foot and brown sock on your right are events that depend on each other, hence, the probability will occur with replacement.

The probability ( having a white sock on your left foot and brown sock on right) =

2/8 × 4/7

= 8/56

= 1/7

Therefore, the probability of this occuring is 1/7