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What is a dihybrid cross?
A genetic cross that tracks inheritance of two genes at once
What genotype is used in a classic dihybrid cross?
RrYy × RrYy (heterozygous for both traits)
What does independent assortment mean?
Each gene segregates into gametes independently of the other genes
How many gametes does a RrYy individual produce?
4 gametes: RY, Ry, rY, ry
What is the phenotypic ratio in a dihybrid cross (RrYy × RrYy)?
9:3:3:1 (9 dominant/dominant, 3 dominant/recessive, 3 recessive/dominant, 1 recessive/recessive)
What does a 9:3:3:1 ratio indicate?
That the two genes are unlinked and assort independently
What gametes are produced by TtYyRr?
8 gametes: TYR, TYr, TyR, Tyr, tYR, tYr, tyR, tyr
What is a dihybrid testcross?
Crossing a heterozygous individual (AaBb) with a double homozygous recessive (aabb)
What is the expected ratio in a dihybrid testcross?
1:1:1:1 phenotypic ratio if genes assort independently
What does a deviation from 1:1:1:1 in a testcross suggest?
The genes are likely linked
How do you calculate the number of gamete combinations from a genotype?
Use 2^n, where n = number of heterozygous genes
What is the formula for binomial combinations?
(\binom{n}{k} = \frac{n!}{k!(n-k)!})
What does \binom{n}{k} represent in genetics?
The number of ways to arrange k successes in n trials (e.g., 4 girls out of 7 kids)
Are \binom{7}{4} and \binom{7}{3} equal?
Yes, because \binom{n}{k}=\binom{n}{n-k}