Part of GEN-01 — Mendelian Genetics & Inheritance Patterns

Formula Sheet — Key Ratios and Values

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Monohybrid Cross Ratios (Complete Dominance)

CrossF1 GenotypeF2 PhenotypicF2 Genotypic
TT × ttTt (all)3:11:2:1
Tt × tt (test cross)1 Tt : 1 tt1:11:1
TT × Tt1 TT : 1 TtAll dominant1:1

Dihybrid Cross Ratios (Complete Dominance)

CrossF2 Phenotypic Ratio
TtRr × TtRr9:3:3:1
TtRr × ttrr (test cross)1:1:1:1

Modified Dihybrid F2 Ratios (from AaBb × AaBb)

Gene InteractionRatioExample
Complementary genes9:7Flower colour in sweet peas
Supplementary / Recessive epistasis9:3:4Coat colour in mice/Labradors
Dominant epistasis12:3:1Fruit colour in squash
Duplicate genes15:1Kernel colour in wheat
Inhibitory genes13:3Feather colour in fowl

Key Formulae

  • Number of gamete types = 2^n (n = number of heterozygous gene pairs)
  • Number of genotypes in F2 = 3^n
  • Number of phenotypes in F2 = 2^n (complete dominance)
  • Recombination frequency (%) = RecombinantoffspringTotaloffspring\frac{Recombinant offspring}{Total offspring} × 100
  • 1 centimorgan (cM) = 1% recombination frequency = 1 map unit
  • ABO genotypes = nn+12\frac{n+1}{2} = 3×4/2 = 6 (for n=3 alleles)

Probability Rules

  • P(specific genotype in F2) = product of individual locus probabilities
  • P(aabb from AaBb × AaBb) = 1/4 × 1/4 = 1/16
  • P(A_B_ from AaBb × AaBb) = 3/4 × 3/4 = 9/16
  • P(Aa offspring from Aa × Aa) = 1/2 (= 2/4)

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