00:01
In this problem, we are given the probability of a complement as 0 .6 and the probability of the event b, this is equal to 0 .7 and the conditional probability of b given a, this is equal to 0 .35.
00:17
So first we need to determine whether the two events a and b can be mutually exclusive or not.
00:23
So first we see that the conditional probability of b given a is 0 .35.
00:28
It means that the probability of b intersection a, this would be the probability of b given a times probability of the event a and that would be 0 .35 times probability of the event a, which is simply 1 minus probability of the a complement, which is already given as 0 .6.
00:47
And we see that this here, it comes out to be 0 .14 and we see that this is not 0.
00:54
So we conclude that the two events cannot be mutually exclusive.
00:59
And in the next part, we have to compute the probability of a and b, which is just the probability of a intersection b...