Suppose a slot machine has three independent wheels as shown in the figure below Third Wheel Second Wheel First Wheel Cherry Cherry Orange Bar Plum Cherry Cherry Lemon Plum Bar Plum Bell Cherry OOrange Plum ABell Cherry Orange Cherry Plum Bar Bar Bell Plum Orange Cherry Orange ABell Plum Lemon Cherry Orange Orange Plum Bar Bell Cherry Bell Bar Lemon Orange Orange Plum Lemon Bar ABell Cherry Plum Lemon Orange Bar Cherry Bell Orange Cherry Plum Cherry Cherry Lemon Lemon The payoffs for the slot machine shown in the figure are in the following table. 4 coins First one cherry 6 coins First two cherries First two wheels are cherries 9 coins and the third wheel a bar 9 coins Three cherries 15 coins Three oranges 15 coins Three plums 24 coins Three bells 50 coins Three bars (jackpot) 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.) OCC O44AICI440 OO O OOOIOOO O040

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