Final answer:
In a home garden planted with hybrid round peas, the expected phenotypic ratio in the progeny peas would be 3/4 round and 1/4 wrinkled, assuming Mendelian genetics and a large enough sample size.
Step-by-step explanation:
If a home garden were planted with all hybrid, round peas, and we assume that the garden peas follow simple Mendelian genetics, we would expect the progeny to display a phenotypic ratio characteristic of a monohybrid cross. Since round peas (R) are dominant and the wrinkled trait (r) is recessive, crosses between heterozygous individuals (Rr) would typically yield a 3:1 phenotypic ratio. In this case, since we're only considering a cross of hybrids (Rr), this means that three-quarters of the offspring peas would show the dominant round phenotype, and one-quarter would show the recessive wrinkled phenotype, assuming a large enough sample size. So, we would expect 3/4 round and 1/4 wrinkled peas in the progeny.