00:02
Okay, so let's look at how to solve this question.
00:04
So first of all, let's note, okay, we have 50 states and we are selecting two senators from each state.
00:16
So a total number of senators, that's going to be 100, right? that's 50 times 2.
00:29
We have 50 states, we're selecting 2 from each, so that becomes 100.
00:34
So now the probability that in the 15 senate is selected at least one is from the 15 states is going to be equal to.
00:50
So a is going to be the number of ways to select 15 states.
00:57
Okay.
00:59
So that's going to be, so we have 50 states, right? so we have to select 15 states from that.
01:07
So that's 15 coming.
01:08
I'm 50, combination 15.
01:12
We're going to multiply that by the number of ways to select one senator from the 15 states.
01:23
That is 2 to the power 15.
01:29
That's going to be divided by the total number of ways of selecting 15 from 100.
01:41
So that's going to be 100 combination 15.
01:47
So that is going to be equal to 0 .2911.
02:02
And then b, the probability that more than one senator is from one state.
02:13
So for that one, you use the number of ways to select 14 states.
02:28
So that's going to be 15, i'm sorry, 50, combination 14.
02:32
14...