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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 yogurts, green apples, and 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 (getting three yogurts)?

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