When Mendel conducted his famous hybridization experiment using parent pea plants with the green / yellow combination of genes, he obtained 580 offspring. According to Mendel’s theory, ¾ of the offspring should have green pods, but the actual number of plants with green pods was 428. So the proportion of offspring with green pods to the total number of offspring is 428 / 580 = 0.738. Mendel expected a proportion of ¾ or 0.75, but his actual result is a proportion of 0.738. Assuming that P(green pod) = ¾, find the probability that among 580 offspring, the number of peas with green pods is exactly 428.