00:01
When shooting two free throws, if a red devil basketball player makes her first free throw, there's an 85 % chance she'll make her second.
00:10
If she misses, there is only a 45 % chance she will make the second.
00:14
Suppose the chance that she makes her first free throw is 60%.
00:18
So i'm going to start with that.
00:21
We're going to start with a tree here, and the chance that she makes her first throw is 60%.
00:27
So i'm going to put that as 0 .6.
00:28
That means the probability that she misses it is going to be 40%.
00:33
Now we've got to go back to the beginning and see what it happens there.
00:37
If she makes her first free throw, that means in this branch here, then there's an 85 % chance she will make her second one.
00:48
So that means that make would be 0 .85, and she would miss would be 0 .15.
00:56
Then it says if she misses her first free throw, so that's going to be this branch, then there's a 45 % chance that she will make her second.
01:09
So that's going to be 0 .45, and so this will be 0 .55 that she misses.
01:15
So let's see what they're asking.
01:17
What is the probability that she makes both free throws? probability of a make and a make.
01:28
So we're going to start with the make branch right here and then go to the next egg branch.
01:35
So that's going to end up being 0 .6 times .85.
01:40
We'll come back and calculate that later.
01:42
What is the probability that she misses both free throws? so the probability of a miss and a miss.
01:54
So we're going to go to our miss and then go to miss.
01:58
So that's going to be 0 .4 times 0 .55.
02:04
Again, we'll come back and calculate that later.
02:08
What is the probability that she makes exactly one of two free throws? so let's look at that, makes exactly one...