Coin Guessing Game: Probability of Winning

Medium probability interview practice: Coin Guessing Game: Probability of Winning.

A and B are teammates playing against C. The game costs Rs 1 to play, and team AB wins Rs 3 if they win. **The Game:** A and B are in separate rooms. Each flips a fair coin. A must guess B's outcome, and B must guess A's outcome. Team AB wins only if **both** guesses are correct. What is the probability that team AB wins the game?

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