Mendelian Genetics

Laws of inheritance, Punnett squares, and probability

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🌱 Mendelian Genetics

Terminology

Gene: Unit of heredity, codes for trait Allele: Alternative version of gene Dominant: Allele that masks other (uppercase, e.g., A) Recessive: Allele that is masked (lowercase, e.g., a) Homozygous: Same alleles (AA or aa) Heterozygous: Different alleles (Aa) Genotype: Genetic makeup (e.g., Aa) Phenotype: Physical appearance (e.g., tall)

Mendel's Laws

Law of Segregation

  • Each parent has two alleles for each gene
  • Alleles separate during gamete formation
  • Each gamete gets one allele
  • Fertilization restores pairs

Law of Independent Assortment

  • Genes for different traits assort independently
  • Applies to genes on different chromosomes
  • Exception: linked genes on same chromosome

Monohybrid Cross

One trait considered

Example: Tall (T) × Short (t) pea plants

  • P generation: TT × tt
  • F₁ generation: All Tt (100% tall)
  • F₁ × F₁: Tt × Tt
  • F₂ generation: 1 TT : 2 Tt : 1 tt
    • Genotypic ratio: 1:2:1
    • Phenotypic ratio: 3:1 (3 tall : 1 short)

Dihybrid Cross

Two traits considered

Example: Round Yellow (RRYY) × Wrinkled Green (rryy)

  • F₁: All RrYy (round, yellow)
  • F₂ (RrYy × RrYy): 9:3:3:1 ratio
    • 9 Round Yellow
    • 3 Round Green
    • 3 Wrinkled Yellow
    • 1 Wrinkled Green

Testcross

Purpose: Determine unknown genotype

Method: Cross with homozygous recessive (tt)

  • If offspring all dominant phenotype → unknown is TT
  • If offspring 1:1 ratio → unknown is Tt

Probability Rules

Product Rule (AND)

  • Probability of independent events together
  • Multiply probabilities
  • Example: Probability of Tt AND Yy?
    • P(Tt) = 1/2, P(Yy) = 1/2
    • P(Tt AND Yy) = 1/2 × 1/2 = 1/4

Sum Rule (OR)

  • Probability of alternative events
  • Add probabilities
  • Example: Probability of TT OR Tt?
    • P(TT) = 1/4, P(Tt) = 1/2
    • P(TT OR Tt) = 1/4 + 1/2 = 3/4

Pedigree Analysis

Pedigree: Family tree showing trait inheritance

Symbols:

  • Circle = female
  • Square = male
  • Filled = affected
  • Half-filled = carrier
  • Horizontal line = mating
  • Vertical line = offspring

Determining inheritance pattern:

  • Dominant: appears in every generation
  • Recessive: skips generations, affected children from unaffected parents

Key Concepts

  1. Dominant alleles mask recessive alleles
  2. Segregation: alleles separate during gamete formation
  3. Independent assortment: different genes assort independently
  4. Monohybrid F₂: 3:1 phenotypic ratio
  5. Dihybrid F₂: 9:3:3:1 phenotypic ratio
  6. Testcross: reveals unknown genotype
  7. Product rule: multiply probabilities (AND)
  8. Sum rule: add probabilities (OR)

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