### Home > INT2 > Chapter 6 > Lesson 6.2.3 > Problem6-78

6-78.

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 every day with $5$ yogurts, $2$ green apples, and $3$ red apples. 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.

Make a tree diagram.

What is $P$(getting three yogurts)?

Remember that the $P$(not getting three yogurts) is the complement of the hint above.