00:01
In this problem, we have been given some information about three events and we need to determine which pairs of events are independent and which pairs are mutually exclusive.
00:09
So we have been given that p of a is 0 .42, p of b is 0 .25, p of c is 0 .01, p of a given b is equal to 0, p of c given b is equal to 0 .01, and p of a given c is equal to 0 .42.
00:37
So first of all, note that the probability of a given b is 0.
00:42
That is, the probability of a occurring, given that b occurs, is 0.
00:46
So a cannot occur if b occurs and that means that a and b cannot happen simultaneously.
00:53
So a and b are mutually exclusive.
00:57
Now p of c given b is 0 .01.
01:01
It is a non -zero number, so the probability of c happening, given that b happens, is non -zero, meaning that c can happen when b happens...