Modeling a Punnett Square

Science Connection

The Punnett square below is an area model that shows the possible results of crossing two pink snapdragons, each with one red gene R and one white gene W. Each parent snapdragon passes along only one gene for color to its offspring. Show how the square of a binomial can be used to model the Punnett square.
Image

Solution

Each parent snapdragon has half red and half white genes. You can model the genetic makeup of each parent as . The genetic makeup of the offspring can be modeled by the product .      (Red) (Pink) (White) 25% of the offspring will be red, 50% will be pink, and 25% will be white.