Question: Many lottery games for very large prizes include guessing which numbers will appear from a random sample of the numbered balls. In Minnesota's Gopher

Many lottery games for very large prizes include guessing which numbers will

Many lottery games for very large prizes include guessing which numbers will appear from a random sample of the numbered balls. In Minnesota's Gopher 5 lottery, there are five balls numbered 1-47. If a player matches at least two balls, she wins a prize (see table below). If the cost of playing is $1, at least how large must the jackpot be before the expected return of playing Gopher 5 becomes favorable to the player? Assume there is only one winner, and also ignore the fact that winnings are also taxed. Please provide just a numerical value for your answer, do not include a dollar sign. Match Odds Win Jackpot 1 in 1,533,939 5 of 5 4 of 5 $500 3 of 5 $15 2 of 5 $1 1 in 7,304 1 in 178 1 in 13

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