Need help with an Alice and Bob riddle.?

gluey

New member
Bob and Alice are playing a game. Bob goes first. There are 3 doors. 1 has a car, 1 has the keys, 1 has a mule. He has 2 chances & he must pick the car. Alice then must play the same game, but must pick the keys. They may discuss strategies beforehand, but Alice does not know what doors were opened or what was behind them. How can they maximize their chances of both winning?
 
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