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Play or Pass (Posted on 2013-05-28) Difficulty: 3 of 5
A game consists of two players taking turns, each time removing a limited number (1 to k) candies from either of two plates, initially containing m and n candies (m>=n).

The player who removes the last candy (or candies) wins.

The player to make the 1st move is defined by a toss of a fair coin and has the unique option, after counting the candies, either to start playing or to waive his turn and let his rival to begin.

Both players have correctly analyzed the game and play according to the best available strategy.

What is the probability that the player designated to go first decides to waive his turn?

Rem: You may assume that both m and n are 2-digit numbers and k is a one digit number over 4.

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionre: Addressing the problem (spoiler)snark2013-06-05 02:53:22
Addressing the problem (spoiler)Steve Herman2013-05-28 22:29:00
Hints/Tipsre: Avoiding the problemAdy TZIDON2013-05-28 17:49:45
Some ThoughtsAvoiding the problemSteve Herman2013-05-28 17:12:05
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