Easy Card Tricks | Coin Magic Tricks | Easy Magic Tricks » probability http://suburbanmagic.com Mon, 12 Sep 2011 13:57:10 +0000 http://wordpress.org/?v=2.8.4 en hourly 1 Magic coin? How can this be? http://suburbanmagic.com/coin-magic-tricks-questions/magic-coin-how-can-this-be/88/ http://suburbanmagic.com/coin-magic-tricks-questions/magic-coin-how-can-this-be/88/#comments Mon, 30 Nov 2009 14:21:37 +0000 Stef http://suburbanmagic.com/coin-magic-tricks-questions/magic-coin-how-can-this-be/88/ Post from: Easy Card Tricks | Coin Magic Tricks | Easy Magic Tricks

]]> You have a coin that is unfair. The probability of flipping one head is constant, greater than the probability of flipping a tail, but otherwise unknown. You and your friend would like to play a game, using the coin given. You win under certain circumstances; and your friend wins under circumstances. Give the circumstances under which you and your friend wins such that the probability of you winning is equal to the chance of your friend winning.

Note: The circumstances must not be the same, and you can have multiple events.
Note: You cannot win with your friend. If you win, your friend cannot win. If your friend wins, you cannot win. It is okay for neither of you to win, but both of you can’t simultaneously win.

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