00:01
For this problem, we are told that another one of our friends thinks that two mutually exclusive events with non -zero probabilities can never be dependent.
00:10
We are asked to establish whether or not she is correct.
00:14
So we have that something is dependent if p of a and b does not equal p of a times p of b.
00:22
So if we have two mutually exclusive events with non -zero probabilities, then p of a and, or let's see here, that would mean that, well, mutually exclusive directly means that p of a and b equals zero.
00:46
And if we have non -zero probabilities, then we have that p of a times p of b can never equal zero.
00:53
So we can conclude that based on that, if they are mutually exclusive, then p of a and b can never be equal to zero.
01:04
Or, excuse me, can never be equal to p of a times p of b...