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Flipping for Dollars (Posted on 2002-10-09) Difficulty: 3 of 5
We play a game as follows:

I place one dollar on the table. I repeatedly flip a coin. Each time the coin comes up heads, I double the money on the table. The first time the coin comes up tails, you take the money and the game is over.

What's a fair admission price for the game?

Would you play the game with me for $100?

See The Solution Submitted by Jim Lyon    
Rating: 3.9000 (10 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: Is $100 high or low? | Comment 6 of 21 |
(In reply to Is $100 high or low? by TomM)

Ouch sorry.

What I meant to say is that asking "Would you play for $100?" is the same as asking (since 2^6 = 64 ≤ 100 ≤ 128 = 2^7) is simply asking "Do you think an average streak is 7 or more heads in a row, or do you think it is 6 or less?"
  Posted by TomM on 2002-10-09 18:12:19

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