00:01
A die is tossed twice and the number of dots facing up is counted and noted in the order of occurrence.
00:06
Let a be the event total number of dots is even.
00:11
Let b be the event both tosses had an even number of dots.
00:18
So the total number of dots is even.
00:20
It's going to happen half of the time.
00:25
So the probability of a, we could say, is 18 out of 36 if they're regular six -sided die.
00:33
Both tosses had an even number of dots is only going to happen.
00:36
When we have, for example, 2 -2, 2 -4, 2 -6, and so on.
00:42
So that's 9 possibilities out of 36.
00:46
And from that, we're going to find the probability of b given a...