WellyWales: I have thought about that also. But also on the flip side, the first player has the advantage of the first turn - that is player 1 could win the game in 5 turns (with 5 perfect guesses), and the 2nd player would not get a last "equal" amount of turns to tie.

So to give player 1 a "free shot" - and even a chance to find an opponents frog for free would give player 1 a VERY BIG advantage.

Looking at the game stats, the game seems VERY even right now.

red 2626 (49.82 %)
blue 2633 (49.96 %)
Draws 11 (0.20 %)

I did not go through all the games, but after 5,000+ games - that is as close as even that almost any game could get!