A box of cookies contains 4 chocolate and 6 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. (Let B be the event that he selected a butter cookie, and let C be the event that he selected a chocolate cookie. Enter your probabilities as fractions.) Are the probabilities for the flavor of the second cookie that Miguel selects independent of his first selection? Why? For each complete path through the tree, write the event it represents and find the probabilities. (Enter your probabilities as fractions.) P(BB) = P(BC) = P(CB) = P(CC) =