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 Frog Finder

Frog Finder & variants (Frog Legs)


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10. July 2008, 20:28:53
AbigailII 
Well, for your first shot (assuming you go first), the odd of guessing a frog is about 5.6%, assuming you won't guess one of the middle 9 squares, as they will be empty. The board is 13x13, making 169 squares; the middle 9 are empty, so 9 frogs will be found on 160 squares, or about 5.6% of the squares.

Running a simulation where both players guess randomly (but won't guess a square that was guessed before; and won't guess one of the middle 9 squares) shows the game is pretty even, and lasts about 144 half-moves.

11. July 2008, 13:14:51
Baked Alaskan 
Subject: Re:
AbigailII:

((the middle 9 are empty))

Really?
All this time I never noticed that..  Hmmm 

11. July 2008, 13:30:59
WellyWales 
Subject: Re: Frog Finder
Baked Alaskan: Not in Frog Finder??

11. July 2008, 14:30:30
AbigailII 
Subject: Re:
Modified by AbigailII (11. July 2008, 14:31:01)
Baked Alaskan: Eh, no, I am mistaken. I was thinking the question was about frog legs, not frog finder.

A simulation for frog finder suggests that the second player has a slight advantage, winning about 52% of the games, with games lasting about 153 half moves. Again, the assumption is that no player guesses an already guessed square.

13. July 2008, 11:50:37
WellyWales 
Subject: Re:
AbigailII: So you reckon no one could guess about 95% correct

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