Suppose a slot machine has three independent wheels as shown in the figure below.   The payoffs for the slot machine shown in the figure are in the following table. First one cherry   4 coins First two cherries   6 coins First two wheels are cherries   and the third wheel a bar   11 coins Three cherries   11 coins Three oranges   14 coins Three plums   14 coins Three bells   20 coins Three bars (jackpot)   50 coins What is the mathematical expectation for playing the game with the coin being a quarter dollar? Assume the three wheels are independent. (Assume you are playing one coin. Round your answer to two decimal places.)

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Suppose a slot machine has three independent wheels as shown in the figure below.

 

The payoffs for the slot machine shown in the figure are in the following table.

First one cherry   4 coins
First two cherries   6 coins
First two wheels are cherries
  and the third wheel a bar
  11 coins
Three cherries   11 coins
Three oranges   14 coins
Three plums   14 coins
Three bells   20 coins
Three bars (jackpot)   50 coins

What is the mathematical expectation for playing the game with the coin being a quarter dollar? Assume the three wheels are independent. (Assume you are playing one coin. Round your answer to two decimal places.)

First
Wheel
Second
Wheel
Third
Wheel
Orange
Cherry
Cherry
Cherry
Bar
Plum
Lemon
Plum
Cherry
Bell
Bar
Plum
Plum
Orange
Cherry
Orange
Bell
Cherry
Bar
Cherry
Plum
Plum
Bell
Bar
Orange
Cherry
Orange
Lemon
Plum
Bell
Orange
Orange
Cherry
Bar
Bell
Plum
Lemon
Cherry
Bar
Orange
Bell
Orange
Lemon
Bar
Plum
Plum
Bell
Cherry
Lemon
Bar
Orange
Orange
Bell
Cherry
Cherry
Cherry
Plum
Lemon
Lemon
Cherry
Transcribed Image Text:First Wheel Second Wheel Third Wheel Orange Cherry Cherry Cherry Bar Plum Lemon Plum Cherry Bell Bar Plum Plum Orange Cherry Orange Bell Cherry Bar Cherry Plum Plum Bell Bar Orange Cherry Orange Lemon Plum Bell Orange Orange Cherry Bar Bell Plum Lemon Cherry Bar Orange Bell Orange Lemon Bar Plum Plum Bell Cherry Lemon Bar Orange Orange Bell Cherry Cherry Cherry Plum Lemon Lemon Cherry
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