Final answer:
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.