I must have known it cannot be that card and deduced the correct answer from there.īut which card did I have? We already know the suit of the jack, so my holding a jack would not help. I held a face card (I said so myself in the intro). We don't have any more clues that can be used. The only card next to the king is the jack of diamonds (it's a diamond from clue 1). The jack must be left of the ten (or else ten jack ace would be a second triplet), so it must be second from the left, and the ten must be second from the right. That means the king is left of the queen, and is also left of both the jack and the ten (otherwise, jack king ace or ten king ace would be a second triplet), so it must be on the far left. So far we have this(X represents unknown):Īt least one of the two cards to the left of the queen is lower than the queen (two of the remaining cards are lower, and only one can be right of the queen), so the triplet that is in ascending order is the queen, the ace, and the single card to the left of the queen that is lower than the queen. The ace is not on the left end from clue 8, so it must be on the right end, and the card next to it must be a heart. One of them must be in the center, but it can't be the ace (the two cards on the ends would only border hearts - and one of them has to be bordering something else from clues 1-4), so it must be the queen. Of the five, only the ace and the queen meet this criterion, so they must be two cards apart. So at least one pair of them should be listed as bordering a card of the same suit in clues 1-5. I had just figured out which suit he had two of.Īnswer The two cards on the ends and the card in the middle border a combined number of two suits. One of the other logicians said, "I give up! There's no way to figure that out!" Of the ten possible pairings of cards, only one pair, when removed, leaves three cards in ascending order from left to right.Ĩ. My two cards of the same suit are not next to each other.ħ. The ace does not border any black cards, nor does it border any diamonds.Ħ. The jack is next to at least one spade, but is not next to any hearts.ĥ. The queen is next to exactly one heart.ģ. The king is next to at least one diamond.Ģ. Now I know you can't figure it out without some clues. I am fairly certain that this is the winning hand, but I'm feeling generous today, and I will give a third of the pot to whoever can determine which suit I have two cards of. I have at least one card of each of the four suits: clubs, spades, hearts, and diamonds. He said, "I have a straight, and the cards are, from lowest to highest: a ten, a jack, a queen, a king, and an ace. My third opponent, however, laid down his five cards face down in a row. One had a pair of fours and a pair of sevens, the other had a pair of twos and a pair of eights. I was even more sure when two of my opponents laid down their cards. I had three nines, some face card (I can't remember what suit or even whether it was a jack, queen, or king) and a four. By the time we had finished bidding and were just about to reveal our cards, I was pretty confident I would win of the four of us remaining. I was playing a game of five card draw poker with a bunch of logicians.
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