00:01
For this problem, we were told that vehicles that come to an intersection can turn left, turn right, or go straight ahead.
00:06
We assume that these vehicles act independently.
00:08
We have that two vehicles enter the intersection in succession.
00:11
We are asked to calculate the probability that at least one of the two vehicles turns left, given that at least one of the vehicles turns.
00:19
So what we'll do here, there are multiple different ways that we can do this.
00:24
But what i'll do is, because it's a relatively simple case, i'll actually go through and enumerate all the possibilities in our sample space or state space.
00:34
So we can have ss for both go straight.
00:39
We can have sl for straight than left.
00:43
We can have sr for straight then right.
00:46
We can have rs for right than straight.
00:51
And we can have ls for left than straight.
00:56
Then we can have, let's see here.
00:58
We've exhausted s, or s in the first element, and we've exhausted s in the second element...