a short pea plant is crossed with a tall heterozygous P plant. Use, opponent square to determine the probability of short offspring.

1 answer

To determine the probability of short offspring from a cross between a short pea plant and a tall heterozygous pea plant, we need to use a Punnett square.

  1. Define the alleles:

    • Let \( T \) represent the tall allele (dominant).
    • Let \( t \) represent the short allele (recessive).
  2. Parent Genotypes:

    • The short pea plant has the genotype \( tt \).
    • The tall heterozygous pea plant has the genotype \( Tt \).
  3. Set up the Punnett square:

             T          t
         -----------------
       |    T    |    t    |
     -------------------
   t |   Tt   |    tt   |
     -------------------
   t |   Tt   |    tt   |
     -------------------
  1. Analyze the outcomes:

    • From the Punnett square, the possible genotypes of the offspring are:
      • \( Tt \) (tall) - 2 out of 4
      • \( tt \) (short) - 2 out of 4
  2. Calculate the probabilities:

    • Probability of tall offspring (\( Tt \)): \( \frac{2}{4} = \frac{1}{2} \) or 50%
    • Probability of short offspring (\( tt \)): \( \frac{2}{4} = \frac{1}{2} \) or 50%

Conclusion: The probability of obtaining short offspring from this cross is 50%.