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A box of cookies contains 3 chocolate and 7 butter cookies. Miguel randomly selects a cookie and eats it. Then he randomly selects another cookie and eats it. (How many cookies did he take?)
-Draw the tree that represents the possibilities for the cookie selections. Write the probabilities along each branch of the tree.
-Are the probabilities for the flavor of the SECOND cookie that Miguel selects independent of his first selection? Explain.
-For each complete path through the tree, write the event it represents and find the probabilities.
-Let S be the event that both cookies selected were the same flavor. Find P(S).
-Let T be the event that the cookies selected were different flavors. Find P(T) by two different methods: by using the complement rule and by using the branches of the tree. Your answers should be the same with both methods. Let U be the event that the second cookie selected is a butter cookie. Find P(U).
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