Question

Without looking, jenny randomly selects two socks from a drawer containing four blue, three white, and five black socks, none of which are paired up. what is the probability that she chooses two socks of the same colour

Answer 1

The probability that Jenn picks two black socks is indeed 50%(1/2), and the correct option is A.

Here's how we can calculate it:

There are a total of 12 socks in the drawer: 6 black, 4 blue, and 2 white.

To calculate the probability of picking two black socks, we need to consider the number of ways to pick two socks out of 12, and then divide the number of ways that result in two black socks by the total number of ways.

The number of ways to pick two socks out of 12 is 12C2, which is 66. (Remember that C stands for combination, and nCr is the number of ways to choose r items out of n.)

There are 6C2 ways to pick two black socks out of 6.

Therefore, the probability of picking two black socks is 6C2/12C2 = 1/2.

So, the answer is A. 1/2.