You're were given a plant that has hetero Zia's traits for three different things. Um, we have flour position, stem length and see each. Let's go ahead and figure out what symbols we're going to use. Beach. So here for flower position, we could have axial flowers or terminal flowers and axial flowers. Air dominant. So I'm gonna use a big A as the axial flowers and little A as the recessive terminal flowers. For assembling. You can have a tall plant or dwarf plant. I'm gonna. So I'm going to use T because that's dominant, tall is dominant and, um, little t to be dwarf and then proceed shape. You can be, uh, there is a round seed and a wrinkled seed, and round is the dominant. Um, dominant traits so little are will be will represent wrinkle. We're told that, um, there's a particular plant, that category hetero Zika's for all these treats and that that plant self fertilized or self pollinated. So, um, here are are wow, our Gina types for the parent so that, um, all of them or the female port game, it will be all hetero Zika's for every single trait, and the male gammy. The pollen will be headers, I guess, for every single church. Okay, Now we're given multiple different, uh, a multiple different Gina types and were asked all those gina types, um, or fina types, rather how how many are likely to occur? What's the probability that that would those, uh, dina types and few types will occur. So, um, first of all upon it square with three different traits will take way too long. Um, it will be really, really large, and it's really unreal Lee Thio use. So we're gonna use the probability rule. And I just wanna illustrate how we can use the probability rule, Um, by first doing a pennant square for one of these, uh, hetero zegas traits here. So let's dio a small pundits square and I'll show you how that works as we move forward. So our small planet player, we end up with it. I like its dominant homes like its dominant headers. I go another headers. I go and homicide gets processed. So this hetero zygote we'll always have a 1 to 2 to 11 Hetero zegas Dominant homicide is dominant to two headers. I goes to one homogeneous perspective he's safe. Let's keep that in mind. So first, um, a her option A says that what is? The likelihood that offspring will have will be Hamas, I guess, for all three dominant traits. So that means Hamas ideas for all three dominant traits. That would be this, um, genotype. Okay, so we know that in a normal pundit square, if we look at the probability for just this, that's one in four chance or probability that we would get the Hamas Legace stomach, um, which we can see from our ratio here. And it would be the same independently for this one and the same independently for this one. Now, these are all, um, genes that are undergoing independent assortment, and so we can treat these as three different events that occurred at the same time and do the probability rule. Then we can take the probability for each one independently and multiply them across each other. And that actually gives us the probability that every one of these events will happen at the same time. So here we have one in 64. So the probability that we would have all hetero, I guess are all Hamas. I guess dominant traits is, um, one 64th one chance in 64 times. Okay, so now let's look at B B, says the homeless. I guess that we would have an offspring of with Only Hamas, I guess. Recessive alleles. So that's a T t r r. And again, we know we have, ah probability of this occurring of one and four times of this, occurring one and four times and of this occurring one and four times. And to find out the probability of all of them occurring at simultaneously, we can multiply them together. And again we will have one 64th so one and 64 times that will occur. How about for C. C. Says that, uh, the offspring are hetero Zika's. For every characteristics, that means that we would be the same as the parent. A wow t t they are little are. So what do we know here? That this is actually a one in two chance for the hedgerows, I guess Trait in for this individual, um, thing if this were to occur independently. But if they were to occur simultaneously, we can just again multiply all this through, and it turns out that for all of these things to occur simultaneously with you one in eight chance and then let's look at D Uh huh. De Here, um, says that there would be ah ho Messias for axial Hamas. Vegas, Um, for axial and tall. So, um, we homos, I guess. Dominant for the axial and Hamas ideas for tall but hetero zegas for seats shape. Okay, You know, this is a one in four chance, and this is a one in four chance the book, uh, one and four. But this is a one in two chance. So we do still the find out what the chances if all these events were to happen simultaneously, we multiply four tennis for 16 times. Two is 32. So the chance that this occurs is one in 32. I hope that's helpful.