By the time you have the decision, yeah, that's true. There are other situations where the game is over before you get a decision. Both GCG and GGC are elimin

By the time you have the decision, yeah, that's true. There are other situations where the game is over before you get a decision. Both GCG and GGC are eliminated half the time before you get to make a decision. But CGG is never eliminated before you get to make a decision. Once you're making a decision and the game isn't already over, you can use this information -- that the game didn't end -- to assign a 50% chance of being in CGG, and 25% of each of the other two.