Suppose a slot machine has three independent wheels as shown in the figure below. First Wheel Second Wheel Third Wheel Orange Cherry Cherry Cherry Bar Plum Lemon Plum Cherry Bell Bar Pum 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 Oange Orange Bell Cherry Cherry Cherry Plum Lemon Cherry Lemon The payoffs for the slot machine shown in the figure are in the following table. First one cherry 3 coins 5 coins First two cherries First two wheels are cherries 10 coins and the third wheel a bar Three cherries 10 coins Three oranges 13 coins Three plums 13 coins Three bells 20 coins Three bars (jackpot) 55 coins What is the mathematical expectation for playing the game with the coin being a quarter dollar? Assume the three wheels are independent. ( E04000OI0000IO000004O

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Suppose a slot machine has three independent wheels as shown in the figure below.
First
Wheel
Second
Wheel
Third
Wheel
Orange
Cherry
5 Cherry
Cherry
Bar
Plum
Lemon
Plum
Cherry
Bell
O Bar
Plum
Plum
Orange
6 Cherry
Orange
Bell
5 Cherry
Bar
6 Cherry
Plum
Plum
Bell
O Bar
Orange
Cherry
Orange
Lemon
Plum
Bell
Orange
Orange
Cherry
Bar
A Bell
Plum
Lemon
6 Cherry
Bar
Orange
Bell
Orange
Lemon
Bar
Plum
Plum
Bell
6 Cherry
Lemon
Bar
Orange
Orange
Bell
Cherry
Cherry
Cherry
Plum
Lemon
Lemon
Cherry
The payoffs for the slot machine shown in the figure are in the following table.
First one cherry
3 coins
First two cherries
5 coins
First two wheels are cherries
10 coins
and the third wheel a bar
Three cherries
10 coins
Three oranges
13 coins
Three plums
13 coins
Three bells
20 coins
Three bars (jackpot)
55 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.)
$
E O0•OI0000I000●0040
Transcribed Image Text:Suppose a slot machine has three independent wheels as shown in the figure below. First Wheel Second Wheel Third Wheel Orange Cherry 5 Cherry Cherry Bar Plum Lemon Plum Cherry Bell O Bar Plum Plum Orange 6 Cherry Orange Bell 5 Cherry Bar 6 Cherry Plum Plum Bell O Bar Orange Cherry Orange Lemon Plum Bell Orange Orange Cherry Bar A Bell Plum Lemon 6 Cherry Bar Orange Bell Orange Lemon Bar Plum Plum Bell 6 Cherry Lemon Bar Orange Orange Bell Cherry Cherry Cherry Plum Lemon Lemon Cherry The payoffs for the slot machine shown in the figure are in the following table. First one cherry 3 coins First two cherries 5 coins First two wheels are cherries 10 coins and the third wheel a bar Three cherries 10 coins Three oranges 13 coins Three plums 13 coins Three bells 20 coins Three bars (jackpot) 55 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.) $ E O0•OI0000I000●0040
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