There are 12 brown socks and 6 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 blue socks on his feet?

The probability that Jason has blue socks is

Solution:

Given, there are 12 brown socks and 6 blue socks in a drawer.  

So, total number socks = 12 + 6 = 18 socks

In the dark, Jason pulls out a sock and puts it on his right foot.  

Now, let the probability of pulled sock to be blue sock

Then, available socks = 18 – 1 picked sock = 17 socks and number of blue socks = 6 – 1 = 5

Then he pulls out another sock and puts it on his left foot

Now, the probability that second picked sock will also be blue =

Hence, the probability that Jason has blue socks is