00:01
In this problem, we are given that there are two events, a and b, and we are given the probabilities of the two events as 0 .2 and 0 .3 respectively.
00:11
And the probability for one and only one event to happen is 0 .3.
00:16
So that's probability of a intersection b complement union, a complement intersection b, because this represents the probability that one and only one event will happen.
00:29
And this is given as 0 .3, and we are required to find out the conditional probability of b given a.
00:36
So although we will use this formula to get the conditional probability, but before that, let's evaluate this expression.
00:43
So we see here that probability of a intersection b complement, union, a complement intersection b.
00:50
This will be equal to probability of a difference b, union, b difference a and this would be equal to probability of a plus probability of b minus two times probability of a intersection b...