A game is played with six double-sided cards. one card has "1" on one side and "2" on the other. two cards have "2" on one side and "3" on the other. and the last three cards have "3" on one side and "4" on the other. a random card is then drawn and held in a random orientation between two players, each of whom sees only one side of the card. the winner is the one seeing the smaller number. if the card that was drawn was a "2/3" card, compute the probabilities each player thinks he/she has for winning.
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