To determine the probability of obtaining a tall, homozygous pea plant from a cross between two tall, heterozygous pea plants, we can use a Punnett square.
Let's denote:
- "T" for the tall allele (dominant)
- "t" for the short allele (recessive)
Since both parent plants are heterozygous, their genotypes are Tt.
Now, we set up the Punnett square:
T t
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T | TT | Tt |
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t | Tt | tt |
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In the Punnett square, we see the following genotypes of the offspring:
- TT (homozygous tall)
- Tt (heterozygous tall)
- Tt (heterozygous tall)
- tt (homozygous short)
From this Punnett square, we can summarize the results:
- 1 TT (homozygous tall)
- 2 Tt (heterozygous tall)
- 1 tt (homozygous short)
So, there are 4 total offspring possibilities:
- 1 TT out of 4 is homozygous tall.
To find the probability of the offspring being a tall, homozygous pea plant (TT), we take:
\[ \text{Probability of TT} = \frac{\text{Number of TT offspring}}{\text{Total offspring}} = \frac{1}{4} = 25% \]
Therefore, the probability that the offspring is a tall, homozygous pea plant is 25%.