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.
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Define the alleles:
- Let \( T \) represent the tall allele (dominant).
- Let \( t \) represent the short allele (recessive).
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Parent Genotypes:
- The short pea plant has the genotype \( tt \).
- The tall heterozygous pea plant has the genotype \( Tt \).
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Set up the Punnett square:
T t
-----------------
| T | t |
-------------------
t | Tt | tt |
-------------------
t | Tt | tt |
-------------------
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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
- From the Punnett square, the possible genotypes of the offspring are:
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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%.