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Fingers game (Posted on 2004-07-11) Difficulty: 4 of 5
The fingers game is quite simple, and can be played anywhere with another person.

1. The two players start by holding up two fingers each, one on each hand.

2. On a player's turn, that player can point with one hand to any of the three hands around him (his own or the other players'). The hand that gets pointed to adds the number of fingers on the hand that did the pointing to his own, and sticks that many fingers up. For instance, if my right hand has two fingers up and I point it to your left hand, which has one finger up, you would now show three fingers on your left hand.

3. If five fingers or more should be up, make a fist. A fist cannot be used to point with.

4. If you have one fist and your other hand has an even number of fingers, you can point with the second hand to the fist on your turn, and divide the fingers evenly between the hands. This is the only time a fist may be pointed to.

Players alternate turns, and the first player to show two fists loses.

Is there a winning strategy for either player? Which player, if either, has a better chance of winning?

No Solution Yet Submitted by Sam    
Rating: 4.0000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution re: solution | Comment 4 of 5 |
(In reply to solution by Charlie)

omg, Charlie...

can't imagine you have used some computation to solve the problem.

haha.. I am pro at this game. so long as a player manages to show three fingers on each hand, he would win for sure.


  Posted by Jonathan on 2004-10-28 16:21:14
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