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Mendelian Genetics Practice Problems for the MCAT with Worked Answers
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Most MCAT genetics questions reduce to a few moves: write the genotypes, split the cross by gene, and multiply or add probabilities.
Rules you need
- Product rule: independent events multiply. P(A and B) = P(A) × P(B).
- Sum rule: mutually exclusive outcomes add.
- Independent assortment: genes on different chromosomes are inherited independently, so treat each gene separately.
Problem 1: monohybrid
Aa × Aa. Probability of an aa child? 1/4. The dominant phenotype appears in 3/4, giving a 3:1 phenotype ratio and a 1:2:1 genotype ratio.
Problem 2: dihybrid
AaBb × AaBb. Probability of aabb? 1/4 × 1/4 = 1/16. Probability of a child showing both dominant traits? 3/4 × 3/4 = 9/16. The phenotype ratio is 9:3:3:1.
Problem 3: multiple children
Two Aa parents have three children. Probability that exactly one has the recessive phenotype? There are 3 orders, each (1/4)(3/4)(3/4), so 3 × 9/64 = 27/64.
Problem 4: testcross
A plant with the dominant phenotype is crossed with an aa plant. All offspring show the dominant trait: the plant is most likely AA. Half dominant and half recessive: the plant is Aa.
Problem 5: X-linked recessive
A carrier mother (XAXa) and an unaffected father (XAY). Sons: 1/2 affected. Daughters: none affected, 1/2 carriers. Males are affected more often because they have one X.
Common traps
- Using the dihybrid ratio when genes are linked. Linked genes do not assort independently.
- Forgetting to condition on a known phenotype. An unaffected child of two carriers is carrier with probability 2/3.
- Multiplying when you should add. Alternative ways to reach the same outcome add.
One-minute recap
- Split by gene, then multiply.
- Aa × Aa gives 3:1; dihybrid gives 9:3:3:1.
- X-linked recessive: affected sons from carrier mothers.
Check yourself: 5-question mini-quiz
1. What is the phenotype ratio of an AaBb × AaBb cross?
9:3:3:1.
2. What is the chance an Aa × Aa child is aa?
1/4.
3. A dominant-phenotype plant crossed with aa gives 1:1 offspring. What is its genotype?
Aa.
4. Sons of a carrier mother and unaffected father: chance of X-linked recessive disease?
1/2.
5. When do you add probabilities?
For mutually exclusive alternative outcomes.
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