Probability

Key Notes on Probability in Genetics

What is Probability?
  • Definition: Probability is the likelihood or chance that a specific event will occur.

  • Example: Tossing a coin—there is a 50% chance (1/2) that it will land on heads and a 50% chance (1/2) that it will land on tails.

  • Law of Large Numbers: The more times an event occurs, the closer the actual results match the expected probability.

Probability and Inheritance
  • The rules of probability apply to genetic inheritance, particularly during gamete formation and fertilization.

  • Each meiosis event and fertilization act like a coin toss, with each allele having an equal chance of being passed on.

Probability in Gamete Formation
  • Example: A plant with genotype Pp for flower color.

  • During meiosis, the two alleles segregate, meaning:

    • 50% of gametes get the P allele.

    • 50% of gametes get the p allele.

  • This follows Mendel’s Law of Segregation—each gamete randomly receives one allele from each parent.

Probability in Fertilization
  • If both parents have the genotype Pp, each parent’s gametes combine randomly.

  • The chance of each possible combination:

    • PP (homozygous dominant) → 25% (1/4)

    • Pp (heterozygous) → 50% (2/4)

    • pp (homozygous recessive) → 25% (1/4)

  • These probabilities are visualized using a Punnett square.

Review Questions
  1. Define probability. Apply the term to a coin toss.

    • Probability is the chance of an event occurring. In a coin toss, the probability of landing on heads is 50%.

  2. How is gamete formation like tossing a coin?

    • Each allele has an equal chance (50%) of being passed to a gamete, just like each side of a coin has a 50% chance of landing face-up.

  3. With a PP homozygote, what is the chance of a gamete having the P allele? The p allele?

    • 100% of gametes will have the P allele because both copies of the gene are dominant (PP).

    • 0% chance of a gamete having the p allele since it is not present in the parent’s genotype.