Question

There are 3 red socks, 4 green socks and 3 blue socks, you choose 2 socks. The probability that they are of the same colour is

A. 1/5
B. 7/30
C. 1/4
D. 4/15

Answer 1

The probability of choosing 2 socks of the same color is 4/15.

Step-by-step explanation:

To find the probability of choosing 2 socks of the same color, we need to find the probability of choosing 2 red socks, 2 green socks, or 2 blue socks. We'll consider each case separately and then add up the probabilities.

P(2 red socks) = (3/10) * (2/9) = 1/15

P(2 green socks) = (4/10) * (3/9) = 2/15

P(2 blue socks) = (3/10) * (2/9) = 1/15

Adding up the probabilities, we get:

P(2 socks of the same color) = 1/15 + 2/15 + 1/15 = 4/15

Therefore, the probability that the 2 socks are of the same color is 4/15.