In peas, purple flowers are dominant to white. If a purpleflowered, heterozygous plant were crossed with a white-flowered plant, what is the expected ratio of genotypes and phenotypes among the $\mathrm{F}_{1}$ offspring? If two of the purple-flowered $\mathrm{F}_{1}$ offspring were randomly selected and crossed, what is the expected ratio of genotypes and phenotypes among the $\mathrm{F}_{2}$ offspring?