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.
(hide) If you only look at some of the discussion boards on a regular basis you can add them to your favourite boards list by going to the Board page and clicking "Add to my favourite boards". (pauloaguia) (show all tips)