00:01
All right, guys, so for this question here, we're getting a problem about televisions.
00:06
Okay, and so here's the thing.
00:08
So the first, i'm going to break up the problem to something i like to call a punant square.
00:11
We use a lot in science.
00:12
We can also use it in probability.
00:14
And so we'll talk about this one be the first television, and this over here will be the second.
00:22
Okay, let's go ahead and make a punnance square here.
00:31
Okay.
00:32
Okay.
00:34
And then i'm going to go and use, so either the television will, the second television we pick will be work or be defective.
00:45
And the first television, same thing, will work or be defective.
00:49
So w stands for work and the other one is defective.
00:54
So either they both work or one works and the other's defective.
01:06
One works and the other is defective.
01:13
Or it is possible, of course, for both to be defective.
01:18
Now, if we look at the probabilities here, we do know that it has a two -third chance of working because only two, because four of the six televisions are working, which means there's two -third of a chance that works.
01:35
And then, of course, there's two television that are effective.
01:37
So 2 out of 6 are defective means one third chance.
01:39
It doesn't work.
01:40
So for each w, i'm going to plug in 2 thirds.
01:46
And for each d, i'm going to plug in 1 thirds.
01:48
So 2 thirds and 2 thirds and 2 thirds.
01:53
And this is 2 thirds and 1 third.
01:57
2 thirds and 1 third again.
02:01
And finally, if both are defective, that's both a 1 third chance of being defective.
02:06
All righty.
02:06
So let's just do the math here.
02:08
So the fact that they both were, will be 4 out of 9 or 0 .44.
02:18
So there's about a 0 .44 chance of them both working.
02:24
There is about a 0 .22 chance that one works one doesn't...