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.'Il Sprint Wi-Fi 1:05 PM * 63% Done club keno.docx Keno are 020. Four Numbers Expected Value According to the Michigan Lottery the best odds

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.'Il Sprint Wi-Fi 1:05 PM * 63% Done club keno.docx Keno are 020. Four Numbers Expected Value According to the Michigan Lottery the best odds of winning are when you pick four numbers. If all four numbers come up then you win $72 for each dollar you bet. If three numbers come up then you win $5 for each dollar you bet. If two numbers come up then you win $1 for every dollar you bet (net winnings are zero). Otherwise, you lose the money you bet. Fill out the following table, assuming a $1 bet Probability Net Value Product Outcome(Use as many decimal p Don't forget to account(Round to 3 as you can) for the $1 bet) What is the expected value if you choose four numbers? $ Kicker Another option in Club Keno is to play the "Kicker." This is an option that doubles your bet, but you can get a random multiplier to your winnings. About 2/3 of the time there is no multiplier, though. Let's consider what the expected value is when playing the kicker while only betting on only one number Kicker 1 Correct 1 Correct x2 1 Correct x3 1 Correct x4 1 Correctx5 15625 046875 0234375 01171875 5 00585938 58 Correct x10 0.00585938 518 75 Correc What is the expected value when using the Kicker option and choosing one number? S (Round to the nearest cent.) If you had not played the kicker, the table would be 1 Correct 0.25 Correct 0.75 51 If you had not played the kicker, what would the expected value be? S (Round to the nearest cent.)

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