Punnett squares can be used to predict the possible genotypes and phenotypes of offspring from a genetic cross between two parents. Mendel performed dihybrid crosses involving two traits, like seed shape and color, and found independent assortment of traits in a 9:3:3:1 ratio. A Punnett square represents the possible combinations of alleles from each parent that are passed on to offspring. It accurately predicts the probability but not absolute outcomes of genetic crosses.