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Math Help - Should I change or do not change??

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    Should I change or do not change??

    10,000 scratchers are being sold. After scratching off the greyed out area, either the words "you win an FP" or "you lose" appear. After purchasing one scratcher I observe that 9.998 other contestants have discovered that their cards says " you lose". Should I offer a lot of money to the one remaining contestant who hasn't processed his scratcher to swap scratchers with me?? WHY OR WHY NOT?
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    Quote Originally Posted by gravity2910 View Post
    10,000 scratchers are being sold. After scratching off the greyed out area, either the words "you win an FP" or "you lose" appear. After purchasing one scratcher I observe that 9.998 other contestants have discovered that their cards says " you lose". Should I offer a lot of money to the one remaining contestant who hasn't processed his scratcher to swap scratchers with me?? WHY OR WHY NOT?
    Do not trade:

    • If there are 0 winners then neither will win
    • If there is 1 winner there will be a \frac{1}{2} chance of you winning and so you may as well save your money and take the chance
    • If there are 2 winners then you both win so you needn't pay the other guy
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