00:02
Okay, so we need to know two things for this problem.
00:05
First is that we need to know that the probability of a given b is the probability of their intersection, the probability of a intersect b over the probability of b.
00:19
All right, so that's the first thing we need to know.
00:23
The second thing is that if these events are independent, the probability of a intersect b is equal to the probability of a times the probability of b.
00:33
So with these two facts, we can solve this problem.
00:38
All right, because we know what the probability of b is, right? we say given the person will go to college.
00:44
Well, the probability that they go to college is 0 .72.
00:47
So we're going to put that as our denominator.
00:49
So we'll say the probability of a given b here is going to be in our denominator, we're going to have 0 .72, right? and then in our numerator, we're going to have the probability of a intersect b, which is going to be the two multiplied together.
01:04
So we're going to say that's going to be what.
01:07
0 .72 times, oh, wait, the probability that a high school senior will go to college and the, okay, so it tells us, 0 .46.
01:15
So they tell us, 0 .46...