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Math Help - [SOLVED] Probability Tree Diagram Problem

  1. #1
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    [SOLVED] Probability Tree Diagram Problem

    I'm trying to figure out how I would put this problem into a tree diagram, and how i would read it.

    "A computer package sale comes with two different choices of printers and four different choices of monitors. If a store wants to display each package combination that is for sale, how many packages must be displayed?"

    I dont need the answer to this, just some guidance would be great.
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  2. #2
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    A tree diagram is developed by having lines for each choice a person can make at a every branch of the tree. For instance, if you have 3 shirts, and 2 shoes, a tree diagram might be:

    Shoe 1 "Shirt 1 and Shoe 1"
    Shirt 1 -
    Shoe 2 "Shirt 1 and Shoe 2"

    Shoe 1 "Shirt 2 and Shoe 1"
    Shirt 2 -
    Shoe 2 "Shirt 2 and Shoe 2"

    Shoe 1 "Shirt 3 and Shoe 1"
    Shirt 3 -
    Shoe 2 "Shirt 3 and Shoe 2"

    See if you can form a conjecture about the number of items in the shirt column, the number of items in the shoe column and the total combinations in your final column.
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  3. #3
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    Hello, fb280!

    A computer package comes with two choices of printers and four choices of monitors.
    If a store wants to display each combination, how many packages must be displayed?

    Let the two printers be: . P_1,\:P_2
    Let the four monitors be: . M_1,\:M_2,\:M_3,\:M_4


    \begin{array}{cccccccccc} &&&&&& * & - & \boxed{M_1} \\ &&&&&& | \\ &&&&&& * & - & \boxed{M_2} \\  &&&&&& | \\ &&& \boxed{P_1} & - & - & * & - & \boxed{M_3} \\ &&& | &&& | \\ &&& | &&& * & - & \boxed{M_4} \\ \circ & - & - & * \\ &&& | &&& * & - & \boxed{M_1} \end{array}
    . - - . . . \begin{array}{cccccc} | &&& | \\ \boxed{P_2} & - & - & * & - & \boxed{M_2} \\ &&& | \\ &&& * & - & \boxed{M_3} \\ &&& | \\ &&& * & - & \boxed{M_4}\end{array}


    There are 8 possible packages to be displayed.

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  4. #4
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    oh, that seems much easier than i thought it was. thanks for the help.
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