Question

Stephen does not like yogurt very much, but he loves apples. Since both make a good snack, Stephen’s mom makes a deal with Stephen. She will keep the refrigerator stocked with 5 yogurts, 2 green apples, and 3 red apples every day. Each day, Stephen will randomly pick a snack. What is the probability Stephen will not get three yogurts on three consecutive days? Use a tree diagram or area model to show all the possible outcomes in the sample space.

Answer 1

$1-(\frac{5}{10})^3\\1-(\frac{1}{2})^3\\1-\frac{1}{8}\\\frac{7}{8}$