Probability of Gamete AbC Produced by a Plant with Genotype AaBbCc

To determine the probability of gamete AbC produced by a plant with genotype AaBbCc, we need to understand the concept of Mendelian genetics and the principles of independent assortment.

Mendelian Genetics
- Mendelian genetics is the study of how genetic traits are passed down from one generation to the next.
- According to Mendel's laws of inheritance, each organism has two alleles for each trait, one from each parent.
- These alleles can be dominant or recessive, and they determine the expression of the trait.

Principle of Independent Assortment
- The principle of independent assortment states that the inheritance of one trait is not dependent on the inheritance of another trait.
- This means that the alleles for different traits are distributed randomly to the gametes during meiosis.

Determining the Probability of Gamete AbC
- Since the plant has the genotype AaBbCc, we know that it has two alleles for each of the three traits.
- To determine the probability of gamete AbC, we need to look at the alleles for each trait and the probability of their combination.
- For the A trait, the plant has one A allele and one a allele. The probability of producing a gamete with the A allele is 1/2, and the probability of producing a gamete with the a allele is also 1/2.
- For the B trait, the plant has one B allele and one b allele. The probability of producing a gamete with the B allele is 1/2, and the probability of producing a gamete with the b allele is also 1/2.
- For the C trait, the plant has one C allele and one c allele. The probability of producing a gamete with the C allele is 1/2, and the probability of producing a gamete with the c allele is also 1/2.
- To determine the probability of producing a gamete with the AbC combination, we need to multiply the probability of producing a gamete with each individual allele. Thus, the probability of producing a gamete with the AbC combination is:
- (1/2) x (1/2) x (1/2) = 1/8 or 0.125

Therefore, the probability of gamete AbC produced by a plant with genotype AaBbCc is 1/8 or 0.125.

1/2*1/2*1/2=1/8