In sweet pea, Lathyrus odoratus, flower color is controlled by two independently assorting gene loci (A, a and B, b). In order to produce purple-colored flowers a plant must have at least one capital allele at each locus (i.e., must be A_B_ to have purple-colored flowers). Homozygous recessive genotypes for either aa or bb or both result in white-flowered plants. Suppose the following cross is made: AaBb X AaBb.
(a) What is the probability that the first offspring produced has purple flowers?
(b) What is the probability that the first two plants produced are white-flowered?
(c) Given that the first plant is purple-flowered, what is the probability that it has the same genotype as its parents?