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Game of luck (Posted on 2004-01-27) Difficulty: 2 of 5
4 people play a game of chance. They each take turns until everyone has taken a turn, then they begin a new round. They stay in the same order every round. Every time a player takes a turn, they have a certain chance of winning. When someone wins, the game ends. They all have even odds of winning a game. The chance of someone winning in any given round is 3/5.

What is the probability for each person to win during their turns?

See The Solution Submitted by Tristan    
Rating: 3.4000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Charlie's solution | Comment 6 of 22 |
(In reply to solution by Charlie)

Charlie,

You wrote:
"Some player will eventually win, and the probability will be in proportion to the individual probabilities within one round."

But the problem states, as a given:
"They all have even odds of winning a game."

These are in contradiction.
  Posted by SilverKnight on 2004-01-27 14:17:11

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