00:01
In this problem, it is said that a drawer contains seven black socks, eight blue socks, and nine green socks.
00:06
Two socks are chosen in the dark.
00:08
First of all, we need to determine the probability that the socks match.
00:12
So this will be the number of favorable outcomes divided by the total number of outcomes.
00:16
First of all, consider the total number of outcomes.
00:19
So there are seven black socks, eight blue socks, and nine green socks.
00:22
So that's a total of seven plus eight plus nine, 24 socks.
00:26
And out of those 24 socks, any two are chosen at random, this can be done in 24 c2 ways.
00:32
Here we use c2, which represents combination, and we use combination and not permutation in this case because the order of selection of the socks does not matter.
00:40
So that's the total number of outcomes.
00:42
Next, consider the number of favorable outcomes.
00:44
So that's the number of ways they can match...