Question

Difficulty: EasyMendel's Second Law and Dihybrid Inheritance

In pea plants (Pisum sativumPisum\ sativum), seed shape and seed color inherit independently according to Mendel's Second Law. If two plants heterozygous for both round seeds (RR) and yellow seeds (YY) are crossed (RrYy×RrYyRrYy \times RrYy), what is the expected phenotypic ratio among the F2F_2 offspring?

  1. 9:3:3:19 : 3 : 3 : 1 (Round Yellow : Round Green : Wrinkled Yellow : Wrinkled Green)Answer
  2. B
    3:13 : 1 (Round Yellow : Wrinkled Green)
  3. C
    1:2:11 : 2 : 1 (Round Yellow : Round Green : Wrinkled Green)
  4. D
    1:1:1:11 : 1 : 1 : 1 (Round Yellow : Round Green : Wrinkled Yellow : Wrinkled Green)

Answer

The expected phenotypic ratio in the F2F_2 generation of a dihybrid cross (RrYy×RrYyRrYy \times RrYy) is 9:3:3:19 : 3 : 3 : 1.
According to Mendel's Law of Independent Assortment, two pairs of traits segregate independently of each other during gamete formation. Crossing two dihybrids (RrYy×RrYyRrYy \times RrYy) yields 16 total fertilization outcomes. Phenotypically, these break down into 9 dominant-dominant (Round Yellow), 3 dominant-recessive (Round Green), 3 recessive-dominant (Wrinkled Yellow), and 1 recessive-recessive (Wrinkled Green), giving the standard 9:3:3:19 : 3 : 3 : 1 ratio.

Step-by-Step Solution

1
Determine the gametes produced by each heterozygous parent (RrYyRrYy).
Each parent produces four distinct types of gametes in equal proportions: RYRY, RyRy, rYrY, and ryry.
Mendel's Law of Independent Assortment states that allele pairs separate independently during gamete formation.
2
Combine the gametes in a 4×44 \times 4 Punnett square to find the phenotypic combinations.
Out of 16 total offspring combinations: 9 express both dominant traits (Round Yellow), 3 express dominant seed shape and recessive seed color (Round Green), 3 express recessive seed shape and dominant seed color (Wrinkled Yellow), and 1 expresses both recessive traits (Wrinkled Green).
Dominant alleles (RR and YY) mask the expression of recessive alleles (rr and yy) when present.
3
Write the resulting phenotypic ratio.
The final phenotypic ratio is 9:3:3:19 : 3 : 3 : 1.
Combining independent monohybrid ratios (3:1)×(3:1)(3:1) \times (3:1) yields the classic 9:3:3:19:3:3:1 dihybrid ratio.

Key Concept

Mendel's Law of Independent Assortment and Dihybrid Phenotypic Ratio
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