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Fair? (Posted on 2015-09-10) Difficulty: 3 of 5
A and B are playing a game, simultaneously exposing
one or two fingers.
If the total number of fingers is odd, then A pays B that number of dollars.
If it’s even, then B pays A accordingly.

Is it a fair game?

a. Assume random decision by both players.
b. Both chose the optimal strategy.

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Solution | Comment 8 of 10 |
(In reply to Solution by alex)

"Each possibility should occur with equal frequency as they are mutually independent and random."

I think you mean mutually exclusive.  This term implies they are not independent -- knowing that 2 has occurred for example gives you additional information about whether 3 has occurred.  You would know that it hasn't.

This alone is not enough to conclude the probabilities are equal.  If I buy a lottery ticket these conditions are met but I don't have a 50% chance of winning.

  Posted by Jer on 2015-09-14 12:03:02

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