00:01
In this problem, we are given that there are two events, a and b, and these two are mutually exclusive events and the chance that event a occurs.
00:14
Occurs.
00:15
This is 0 .34, whereas the probability of the event b, that is 0 .48, and we have to find out the probability that a occurs, given that b does not occurs, which is represented by the conditional probability of a, given that b complement has occurred, or b does not occur.
00:36
So here, we can simply use this formula, and we will just replace b with b dash, and when we do that, we will get the conditional probability of a given b complement as the probability of a intersection b complement divided by the probability of b complement.
00:53
So that will be equal to the probability of the event a minus probability of a intersection b divided by 1 minus probability of the event b.
01:02
And we know that the two events are mutually exclusive...