00:01
So for this question, let's say we have people 1, 2, number 1, number 3, until number x.
00:11
So here, x should be greater than all equal to 2, because if we want a birthday match, we need at least two people.
00:21
And now we want to know.
00:24
So after people x arrives and then we get a match.
00:33
This means that among this, this is x minus one, among the first x minus one people we don't have any match.
00:44
So it means that these people may just match with any of these previous x minus one people.
00:56
And all the other x minus two people share different birthdays.
01:02
And the birth is different from the two people sharing the match.
01:09
So let's consider how many ways we can, we calculate.
01:17
First of all, we need to determine the denominator.
01:20
Since we have x people and we have 365 days a year.
01:28
So for each people, we have this.
01:32
Plus base for the birthday and we have x people.
01:36
So we have 360 to the power of x...