Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Mendel's Law of Segregation: During meiosis, the two alleles of a gene (e.g., and ) separate into different gametes so that each gamete carries only one allele ().
Mendel's Law of Independent Assortment: The alleles of two or more different genes (e.g., and ) get sorted into gametes independently of one another, provided they are on different chromosomes.
Genotype vs. Phenotype: Genotype refers to the genetic makeup (), while phenotype is the observable physical trait (e.g., tall vs. short).
Dominant and Recessive Alleles: Dominant alleles () mask the effect of recessive alleles () in a heterozygote (). Recessive traits only appear in homozygous recessive individuals ().
Codominance: Pairs of alleles that both affect the phenotype when present in a heterozygote. Example: results in AB blood type.
Sex-linkage: Genes located on the sex chromosomes ( or ). Traits like hemophilia and red-green color blindness are -linked recessive, denoted as and .
Multiple Alleles: Some genes have more than two alleles, such as the ABO blood group system involving , , and .
Test Cross: Testing a suspected heterozygote () by crossing it with a known homozygous recessive ().
📐Formulae
💡Examples
Problem 1:
In a monohybrid cross between two heterozygous tall pea plants (), calculate the probability of the offspring being homozygous recessive ().
Solution:
or
Explanation:
Using a Punnett square for , the possible genotypes are , , , and . Out of 4 possible combinations, only 1 is . Therefore, the probability is .
Problem 2:
A woman who is a carrier for color blindness () marries a man with normal vision (). What is the probability that their son will be color blind?
Solution:
(or of sons)
Explanation:
The sons receive the chromosome from the father and either or from the mother. The possible genotypes for sons are (normal) and (color blind). Thus, of the male offspring are expected to be color blind.
Problem 3:
Perform a Chi-squared test on a dihybrid cross () where the observed frequency of the double recessive phenotype () is out of total offspring. Calculate the expected value ().
Solution:
Explanation:
In a Mendelian dihybrid cross, the expected ratio for the double recessive phenotype is . For a total of offspring, .