# Thread: win-lose tree diagram possibilites

1. ## win-lose tree diagram possibilites

1.draw a tree diagram to show the win-loss possibilities for one of the teams in a best two of three playoff series in Olympic volleyball

after drawing it i get 27 possibilities, is this correct?

2. Hello, William!

How did you get 27?

1. Draw a tree diagram to show the win-loss possibilities for one of the teams
in a best two of three playoff series in Olympic volleyball.
There are six possible series.

$\begin{array}{cccccccccc}
& & & & & \ulcorner & \text{win} \\
& & \;\;\ulcorner & \text{win} & - &\!\!\!\! \dashv & & & \ulcorner & \text{win} \\
& & \;\;\vert & & & \llcorner & \text{lose} & - & \!\!\!\!\dashv \\
& & \;\;\vert &&&&&& \llcorner & \text{lose} \\
* & - & \dashv\\
& & \;\;\vert &&&&&& \ulcorner & \text{win} \\
& & \;\;\vert & & &\; \ulcorner & \text{win} & - &\!\!\!\! \dashv \end{array}$

. . . . . $\begin{array}{cccccccccc}
& & \llcorner & \text{lose} & - & \!\!\!\!\dashv & & & \quad\llcorner & \text{lose} \\
& & & & & \llcorner & \text{lose}\end{array}$

3. Originally Posted by Soroban
Hello, William!

How did you get 27?

There are six possible series.

$\begin{array}{cccccccccc}
& & & & & \ulcorner & \text{win} \\
& & \;\;\ulcorner & \text{win} & - &\!\!\!\! \dashv & & & \ulcorner & \text{win} \\
& & \;\;\vert & & & \llcorner & \text{lose} & - & \!\!\!\!\dashv \\
& & \;\;\vert &&&&&& \llcorner & \text{lose} \\
* & - & \dashv\\
& & \;\;\vert &&&&&& \ulcorner & \text{win} \\
& & \;\;\vert & & &\; \ulcorner & \text{win} & - &\!\!\!\! \dashv \end{array}$

. . . . . $\begin{array}{cccccccccc}
& & \llcorner & \text{lose} & - & \!\!\!\!\dashv & & & \quad\llcorner & \text{lose} \\
& & & & & \llcorner & \text{lose}\end{array}$

I misinterpreted the question thinking of win win lose, win win win, lose lose win, branching off of a team following the multiplication principle: 1*3*3*3=27

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# tree diAGRAMS OF WIN AND LOSE

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