Answered

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?

Verified Answer :

Diamondz

1/2 of a chance he will often grab a yogurt (as there is a total of ten items (5/10).  2/10 (1/5) of a chance he will grab a green apple.  and 3/10 of a chance he will grab a red apple.  he will have around a 1/5 chance to not grab a yogurt on 3 consecutive days.  (not sure about the not grabbing yogurt chances, but.......)