Question

Alex has a pair of red socks, a pair of black socks, and a pair of white socks. Unfortunately, the socks are not matched up. Alex blindly picks 2 socks. What is the probability (in fraction form) of getting 2 socks that are the same color? Please show your workings.

Answer 1

Answer:

1/5

Step-by-step explanation:

pair of red socks, a pair of black socks, and a pair of white socks

means

2  red Sock

2 Black Sock

2 White Sock

First He can pick any Sock after that 5 socks are left

1 of same color & 4 of different Color

1 to be picked out of 5

So Probability of picking Same color would be

1/5

or

If We can Make Three option and calculate probability

Picking both red + Picking both Black + Picking both White

(2/6)(1/5)  + (2/6)(1/5) + (2/6)(1/5)

= (1/3)(1/5) + (1/3)(1/5) +(1/3)(1/5)

= 1/15 + 1/15 + 1/15

= 3/15

= 1/5