Alright guys, so for this question here, we're getting a problem about televisions. Okay. And so here's the thing. So the first I'm going to break up the problem is something I like to call opponents square. We use a lot in science. We can also use it in probability. And so talk about this won't be the first television and this over here will be the second. Okay, let's go and make a point square here. Okay? And then I'm gonna go and use um so either the television will second television we pick will be will work or be defective in the first television, same thing will work or be defective. So w stands for work and and the other one is defective, so either they both work or one works and the other is defective. one works and the other is defective or it is possible, of course, for both to be defective. 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 23 of the chance that works. And then of course there's two television effective. So to have sex and effective means one third chance it doesn't work. So for each w I'm gonna plug in 2/3 and for each d I'm gonna plug in one third, so two thirds, two thirds And this is 2/3 and 1/3, 2/3 and 1/3 again. And finally if both are defective, that's both a 1/3 chance of being defective. Alrighty is let's just do the math here. So the fact that they both work Will be four out of nine or .44. So there's about a .44 chance them both working There is about a .22 chance That one works, one doesn't will be the same over here and then a .11 chance over there. So those are the probabilities we are currently dealing with. Okay, So the first question asks is a the ability of the both televisions work. So both work. The only thing that both were the only ones that both work is this one of the top left corner? Oops one. The only time it both works would be in the top left corner, so that will be right here in the top left corner. One. Both work and that is .44. So let's go ahead and change that. 2.44. All right. The second follow up questions where I will at least one does not work. At least one does not work. That means um wherever we see a defective one, that's what we want. So, this one this one has a defective one. Keep doing that. So let's see that box has a defective one. This is a defective one of those defective one. Okay, So which means it's all three of these combined. Okay. And so the fact that all those don't work, we're gonna get about a let's see. So when at least one shoot, I'm messing up here, so at least one bad Will be a .22 plus 0.22 Plus .11. Which is going to round up. So it's gonna be 55 And that's actually 55. We can't forget about the repeated signs on all these. So those are all repeated, it's a 55 repeated. Which leaves us with a .56. And we're done.