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Alan is making a bouquet to take home to his grandmother. He needs to choose one kind of greenery and one kind of flower for his bouquet. He has a choice of ferns or leaves for his greenery. His flower choices are daisies, carnations, and sunflowers.  Homework Help ✎

  1. Draw a tree diagram to show the different bouquets he could make. How many are there?

    The first thing Alan must choose is the type of greenery. There are two choices, so your tree diagram should split into two branches.

    For each of those two choices, he must choose between three different types of flower. Draw each branch splitting into three different branches.

    There are six different possibilities.

  2. What is the probability that he will use ferns?

    How many of the six possibilities contain ferns?

    Count them using the tree diagram.

  3. What is the probability that he will not use sunflowers?

    Look at the diagram and see how many of the possibilities do not include sunflowers.

  4. What is the probability that he will use leaves and carnations?

    See part (b).