00:01
In this problem, it is said that there are three stores, a, b, and c.
00:05
The number of employees over there are given, and the percentage of them who are women is also given.
00:12
And it is said the resignations are equally likely among all employees regardless of their gender.
00:18
One woman employee resigns.
00:20
Now, we need to determine the probability that she works in store c.
00:24
So for that, let us first of all define a few events.
00:28
So let the event a be that the person who resigned works in the store a.
00:37
So a person or rather the person who resigned works in store a.
00:58
Similarly, let b be the event of the person who resigned works in store b.
01:02
Let's see be the event of the person who resigned works in store b.
01:04
Let's c be the event of the person who resigned works in store c and let us define the event w that the person who resigned is a woman.
01:20
So with these events, let us now write some probabilities.
01:25
So first of all, let us find the probability of a.
01:27
That is the probability that the person who resigned came from store a.
01:31
So store a has 50 employees, and the total number of employees, will be 50 plus 75 plus 100.
01:43
So that is equal to 50 divided by 225, which we can cancel out, simplify, and write as 2 by 9.
01:52
Similarly, the probability of b, that is the probability that the person who resigned came from store b.
02:00
This will be 75 by 50 plus 75 plus 100 because there are a total of 75 employees in store b.
02:09
So this will be 75 by 225.
02:12
We can cancel that out to write 3 by 9...