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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 with 5 yogurts, 2 green apples, and 3 red apples
every day. Each day, Stephen will randomly pick a
snack. Use a tree diagram or area model to show all the
possible outcomes in the sample space. What is the
probability Stephen will not get three yogurts on three
consecutive days?

Respuesta :

5+2+3=10 total snacks
5/10 or 1/2 are yogurts so 1/2 is the chance everyday
1/2×1/2×1/2=1/8 this is the chance Stephen gets yogurt 3 consecutive days so 1-1/8=
7/8 chance he doesn't get yogurt three consecutive days

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