We'll use the formula for the classical probability as follows.
P(A) = Number of outcomes favorable for A / Total number of possible outcomes
In this case, two socks are randomly drawn from a set of 6+10 = 16 socks. So the total number of possible outcomes = 16C2 = 120.
The two stocks match each other if they are both blue or grey. So the number of favorable outcomes is 6C2 + 10C2 = 15 + 45 = 60.
Hence the probability that the two stocks match is
.
P(A) = Number of outcomes favorable for A / Total number of possible outcomes
In this case, two socks are randomly drawn from a set of 6+10 = 16 socks. So the total number of possible outcomes = 16C2 = 120.
The two stocks match each other if they are both blue or grey. So the number of favorable outcomes is 6C2 + 10C2 = 15 + 45 = 60.
Hence the probability that the two stocks match is