00:01
For this problem, we'll need to apply the three -way inclusion -exclusion principle, which gives us that the probability of a or b or c is equal to p of a plus p of b plus p of c minus p of a and b minus p of a and c minus p of b and c plus p of a and b and c.
00:39
So, looking at our given information here, let's see.
00:44
So, we have p of a, 0 .5, p of b, 0 .3, p of c, 0 .4, p of a and b, 0 .2, so we subtract that, p of a and c, so we do minus 0 .1, p of b and c is another 0 .1, and this is the sort of tricky thing.
01:04
We're not given p of a and b and c explicitly, but, okay, actually i just went through and checked some things, we are not actually able to find an exact value for this because we don't know the probability of a and b and c.
01:21
What we can do, at best, is find a lower bound and an upper bound.
01:26
We have the lower bound would be if they were all independent, which we know not to be the case...