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At an unconventional casino you bet on the roll of an 18 sided die If...

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At an unconventional casino you bet on the roll of an 18 sided die If you roll a 7 you win 2 If you roll a 1 or 18 you win 1 If you roll a 13 you lose 3 If you roll any other number you lose 1 to the casino Let X denote the amount of money you win from playing this game once a Fill in the table to create a probability distribution for X Use fractions or decimals rounded to three decimal places when necessary Please enter values into the table as they were introduced in the paragraph above P x 2 1 3 1 X 18 710 b Find the expected profit Round to the nearest cent two decimal places c Is this game profitable for you How does the expected value tell you whether it is profitable or not

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