00:02
All right, in this question, we are asked about, suppose, right, a hundred people all, you know, toss a hat into a box, right? and then somebody picks out, right, randomly pick out a hat.
00:25
What is the expected number of people who will get their own hat back? so everybody puts their hat in a box.
00:30
And then everyone takes out a random hat, what is the, how many people are expected to get their own hat back? right? and the way we would approach this problem, right? so we'll say x is a number of people who get their own hat back after the randomness.
00:49
Right.
00:50
So there's, right, so we can say x, x of j is represents person.
00:58
So x of j is referring to a person j, right? so this is a person who gets their own hat back.
01:05
So if x of j is equal to 1, that means a person gets their hat...