Draw the tree that represents the possibilities

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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).

Reference no: EM132851955

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