What is the mathematical expectation for playing the game with the coin being a quarter dollar? Assume the three wheels are independent.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 37E: Prove or disprove that AB=AC implies B=C.
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Suppose a slot machine has three independent wheels as shown in the fiqure below.
First
Wheel
Second
Wheel
Third
Wheel
Orange
A Cherry
Cherry
A Cherry
O Bar
Plum
Lemon
Plum
G Cherry
A Bell
O Bar
Plum
Plum
Orange
Cherry
Orange
Bell
Cherry
O Bar
Cherry
Plum
Plum
Bell
O Bar
O Orange
A Cherry
Orange
Lemon
O Plum
A Bell
Orange
Orange
Cherry
O Bar
Bell
O Plum
Lemon
A
Cherry
O Bar
O Orange
Bell
Orange
Lemon
Bar
Plum
Plum
Bell
A Cherry
Lemon
O Bar
Orange
Orange
Bell
A Cherry
E Cherry
E Cherry
O Plum
O Lemon.
O Lemon
E Cherry
The payoffs for the slot machine shown in the figure are in the following table.
First one cherry
4 coins
First two cherries
5 coins
First two wheels are cherries
11 coins
and the third wheel a bar
Three cherries
11 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.)
$
EO404•0I•000100|0|•|0040
Transcribed Image Text:Suppose a slot machine has three independent wheels as shown in the fiqure below. First Wheel Second Wheel Third Wheel Orange A Cherry Cherry A Cherry O Bar Plum Lemon Plum G Cherry A Bell O Bar Plum Plum Orange Cherry Orange Bell Cherry O Bar Cherry Plum Plum Bell O Bar O Orange A Cherry Orange Lemon O Plum A Bell Orange Orange Cherry O Bar Bell O Plum Lemon A Cherry O Bar O Orange Bell Orange Lemon Bar Plum Plum Bell A Cherry Lemon O Bar Orange Orange Bell A Cherry E Cherry E Cherry O Plum O Lemon. O Lemon E Cherry The payoffs for the slot machine shown in the figure are in the following table. First one cherry 4 coins First two cherries 5 coins First two wheels are cherries 11 coins and the third wheel a bar Three cherries 11 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.) $ EO404•0I•000100|0|•|0040
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