To determine the frequency of short offspring (pp) when crossing a tall pea plant with genotype Pp (heterozygous) and a short pea plant with genotype pp (homozygous recessive), we can set up a Punnett square.
- The Pp parent can contribute either a P (tall) or a p (short) allele.
- The pp parent can only contribute a p (short) allele.
Here’s the Punnett square for the cross:
P | p
----------------|----------------
p | Pp | pp
----------------|----------------
p | Pp | pp
From the Punnett square, we see the following genotypes for the offspring:
- 2 Pp (tall)
- 2 pp (short)
Out of a total of 4 offspring:
- 2 are short (pp).
Thus, the frequency of short offspring (pp) is:
\[ \text{Frequency of } pp = \frac{2 \text{ (pp)}}{4 \text{ (total offspring)}} = 0.5 \]
Therefore, the answer is 0.5.