Okay. So now let's talk about the use of the branching diagram as the second way to look at a dihybrid cross. Branching diagrams are great because they keep you from having to do the Punnett squares and getting confused with all these different traits, but they're also really great if you need to do math to calculate the probability of something. I don't really know why there's a question mark here, but you can just exit that out. Just like before in the Punnett square, I'm starting you out with heterozygous. Uppercase and lowercase 'Y' with uppercase and lowercase 'R', and these represent the uppercase Y for yellow, which is dominant. Uppercase R is for round, which is dominant. The lowercase 'y' is going to be green, and the lowercase 'r' is going to be wrinkled. And I'm giving you this. They would give it to you likely in your normal question. So I'm giving you the starting phenotypes and the genotypes. Now, I want you to use the branching diagram. The first thing you do is take each trait independently. So, first we're going to deal with the Yy. This is the mother and this is the father, and we know that we put one allele of each in the box. Now, if we do just a normal cross, what we're going to get is this 3 to 1 phenotypic ratio and a 1 to 2 to 1 genotypic ratio. And now, I have these questions over here. You have to figure out independently. What's the probability of the offspring being yellow? Anything with an uppercase 'Y' is going to be yellow, so that's 3/4ths and green, that's going to be 1/4th. Now, if we were to erase this, which I'm going to, and repeat this for the Rr. And if we do this just like we know how to do, just a normal monohybrid cross, you're going to get the same ratio. So the probability of being round, 3/4ths. The probability of being wrinkled is 1/4th. These are ratios that if you're not 100%, just like can get them off the top of your head, you should be figuring out how to do that soon because a monohybrid cross, you just cross it, it's 3 to 1, that's the ratio, and you know that. So a branch diagram looks like this, it takes each trait and breaks it up, here's trait 1 which is color, here's trait 2, which is shape, and then at the end, it will give you the nice ratio that you want. The first one is what's the probability of it being yellow? Well, if you remember we wrote that here. So, this is 3/4ths and the probability of being green, 1/4th. Then you do the same thing for round and wrinkled. 3/4ths, 1/4th, 3/4ths, 1/4th. And remember, we got all of these numbers up here from doing just a monohybrid cross. And this is asking for phenotypes. Remember that not genotypes, phenotypes, which is how we get the 3/4ths and one fourth. Then because of the product law, which is a math law that we're going to talk about if you haven't seen the video for it yet. But essentially the product law states that you could just multiply these. So 3/4ths times 3/4ths is going to be 9/16ths. 3/4ths times 1/4th is going to be 3/16ths. 1/4th times 3/4ths, again, 3/16ths, and 1/4th times 1/4th is going to be 1/16th. What is this ratio? This is the 9 to 3 to 3 to 1 ratio that we saw with the Punnett square, but we had to take a lot more time to figure that out, because we had to write all the alleles and do all the crosses and that huge Punnett square. But this is much easier because you just take 2 monohybrid crosses, one for each trait, one for color and one for shape, and then you do math figure it out. Now some of you don't like math and that's okay and feel free either way is fine. You can do this either way. Like I said, we both got to this 9 to 3 to 3 to 1 ratio. So, you can use the Punnett square or the branching method. Either way is fine. They both get you to the same result, so I would just choose which one you're most comfortable with. But remember, like I said before, it's super important to know what your starting genotypes are, because sometimes, they will give you the parental, which would be this, then expect you to figure out that the F1 is this, which is where I started. I started here, but sometimes they start one step above, and then ask you about the F2 generation, which would be 9 to 3 to 3 to 1. Like I said, be careful, are they giving you this, or are they giving you this? Because people get very confused, because if you do the branching diagram on the parental generation, you're going to get a 1 to 1 to 1 to 1 ratio, which is not usually the answer they're looking for. Their answers are looking for this. So don't do the 1 to 1 to 1 to 1. Make sure you know what you're talking about and you don't get confused and you really figure out, you know, what are you starting with and what are they asking for. So that's the branching diagram. So, with that, let's now move on.
Table of contents
- 1. Introduction to Genetics51m
- 2. Mendel's Laws of Inheritance3h 37m
- 3. Extensions to Mendelian Inheritance2h 41m
- 4. Genetic Mapping and Linkage2h 28m
- 5. Genetics of Bacteria and Viruses1h 21m
- 6. Chromosomal Variation1h 48m
- 7. DNA and Chromosome Structure56m
- 8. DNA Replication1h 10m
- 9. Mitosis and Meiosis1h 34m
- 10. Transcription1h 0m
- 11. Translation58m
- 12. Gene Regulation in Prokaryotes1h 19m
- 13. Gene Regulation in Eukaryotes44m
- 14. Genetic Control of Development44m
- 15. Genomes and Genomics1h 50m
- 16. Transposable Elements47m
- 17. Mutation, Repair, and Recombination1h 6m
- 18. Molecular Genetic Tools19m
- 19. Cancer Genetics29m
- 20. Quantitative Genetics1h 26m
- 21. Population Genetics50m
- 22. Evolutionary Genetics29m
2. Mendel's Laws of Inheritance
Dihybrid Cross
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