 leader of Twitch. So this is an example, probability question I'm trying to solve. The chance of having a girl baby is 49% and that of a boy baby is 51%. What's the chance that a family of three children is made up of two girls and one boy? Here, check this out. Let's do this. We ended this one. We'll leave that up because this is just a tree diagram. Supreme leader of Twitch. How would I go about solving such a probability set? You do it like this. So child number one, number one. Let's write it out so we understand it. Child, child number one. So child number one, girl or a boy, right? The probability for a girl is 0.15. The probability of a boy is 0.4. Is that true? Girl, yeah. Oh no, the other way around. Oops. So girl baby is 49%. My boy is 51%. So this would be boy. This would be girl. Okay. I'm gonna kill this guy. Gang, for this one, you would just break it down and you can't divide by two anymore because this is a one. So you would have to find an odd number that goes into this because two is the, two is the only and this one would be two and five, right? And then two is the only even prime number and you're gonna look for other primes that go into this. So you do the prime and you're gonna do it with the calculator, right? Let's do this. So the next one, you can have a boy, you can have a girl, you can have a boy, you can have a girl, right? Again, the boy is 0.51, the girl is 0.49, the boy is 0.51 and the girl is 0.49, right? I can actually do this question officially back. Oh my god. I got to go have a good rest of stream while you two melzy. And then the next baby, next kid, is boy and a girl again, right? 0.51, 0.49, boy, girl, 0.51, 0.49, boy, girl, 0.51, 0.49, boy, girl, 0.51, 0.49. And by the way, you could do this by laying it out in this, what do you call it, the power stuff you can use. And then your question is this, right? So I'm gonna read the question again, right? From Supreme Leader of Twitch, answer this question. The chance of having a girl baby is 49% and that of a boy baby is 51%. What's the chance that a family of three children, so we got three children, one event, oh sorry, one event? So that's your first kid. This is a child number one. This is parents. Parents, right? So this is child number one is here. Child number two is here. Child number three is this column, right? So what's the chance that a family of three children is made up of two girls and one boy, right? So I'm gonna do this in red, pen. So two girls and one boy. So let's assume you go down this road first. You get your boy first, right? Here, let's do it this way. So you see, you have your boy first. And then the next two kids have to be girls because you want two girls, right? So then you would have to go girl, your second child is girl, and girl. Okay, so if your first kid is a boy, you have no choice than to go girl, girl, right? So this would be 0.51 times 0.49 squared. Let me write this down better. So this one, the outcome is 0.51 times 0.49 squared. That's not that much better, but it is sort of, right? Now your next avenue you can go. Your first kid can be a girl, right? If your first kid is a girl and your second kid is a girl, then your next kid has to be a boy. So over here the probability is 0.49 times 0.49 times 0.51. So 0.49 squared times 0.51, right? Now here's another avenue you can take. If your first kid is a girl, your second kid could be a boy. You don't care which one it is, but your third kid has to be a girl because you're looking for two girls and a boy. So then you go down this one. So over here you got 0.49 times 0.49 times 0.51. So 0.49 squared times 0.51, okay? So what we have right now is there's three different paths for this family, these parents, to have two girls and one boy. And these are the paths that you have and what you do, you add those up. So you have the total probability and this is where you add them, right? And if you're adding them, all three of them are the same. It's 0.49 squared times 0.15, right? So all you would do, you would go 0.49 squared times 0.51, add it together three times or just multiply this by three and that would be your answer. Okay, is that clear? That's the way you would do this problem. And the problem is the chance of having a girl baby is 49% and that of a boy baby is 51%. What's the chance that a family of three children is made up of two girls and one boy? The tree diagram works for this. Is that clear? Swagboy Felix, MC Mike, thanks. I enjoy these streams because everyone here is trying to either learn or solidify their knowledge on some form of math. Yeah, me too. That's why I like them too. MC Mike, Swagboy, Swagboy, you're welcome. I know what you mean. I started watching Chichou when I was upgrading my math to get into university. A couple of years went by and he was one of the people to inspire me to go further in mathematics. Ah, dude, serious, really, Mike. Awesome. I love the live streams for the same reason. Happy to help when I can. Awesome, MC Mike. That makes me happy, man. Awesome, awesome, awesome. Awesome. The tears to Chichou's eyes. Another mathematician into the wild. Fantastic, fantastic, powerful. Hey, Mike. Supreme Leader of Twitch. Oh, wow. That's a very nice and clear visual explanation. The teacher never explained in this visual way, but now I feel like I actually understand this. So basically I just made the mistake of only considering a single path. Yeah, basically. Very interesting. My pleasure, Supreme Leader of Twitch. And by the way, I'm pretty sure this is correct, but if I'm wrong, please let me know anyone. Okay. And there is this level of mathematics. You can do it with the tree diagram, but if you have a lot of path, then you got to sort of apply this. You come up with proofs, formulas that do this thing without you really having to draw it. And you can come up with equations to do more complicated stuff.