In pea plants, tall plants are dominant over short and green pods are dominant over yellow if you were to cross true-breeding tall, green podded plants with true-breeding short yellow podded plants and then were to cross the f1 individuals among themselves what proportion of the f2 offspring would you expect to be tall and yellow podded

The proportion of F2 offsprings expected to be tall and yellow is 3 out of 16.

Mendel's Second Law is used in this case.

1. The genotype for the true-breeding tall, green podded plant is TTGG. The genotype of its gamete is TG.
2. The genotype for true-breeding short, yellow podded plant is ttgg. so, its gamete is tg.
3. When both gamete are crossed, it will produce F1 generation with genotype of TtGg.4 All F1 generation is 100% or heterozygous tall, green podded plant.
4. Now we would like to cross the F1 generation among themselves. So, there 4 possibilities of gametes produced by a single F1 generation plant which are TG, Tg, tG and tg.
5. Using a Punnett Square, these gametes from 2 F1 generations will be crossed, resultiing in 16 different type of genotypes of F2 generation. (shown in picture)