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You find yourself at the Liar's Greenjack tables, with three dollars to spend. Liar's Greenjack is similar to Greenjack, in that it is played with a deck of only 16 cards, divided into 4 suits: Red, Blue, Orange and Green. There are four cards in each suit: Ace, King, Queen and Jack. Ace outranks King, which outranks Queen, which outranks Jack - except for the Green Jack, which outranks every other card. If two cards have the same face value, then Red outranks Blue, which outranks Orange, which outranks Green, again except for the Green Jack, which outranks everything.

Here's how the game is played: you are dealt one card, face up, and the dealer is dealt one card, face down. The dealer will make some statements, and you will place a bet as to who has the higher card, you or the dealer. If you are right, you win. It's just that simple!

Here's where Liar's Greenjack differs from Greenjack. If the dealer's card is higher than yours, then every statement she makes is true. Otherwise, every statement she makes is false. Good luck!

TEN-DOLLAR TABLE

You put a dollar on the table, and you are dealt an Orange King. The dealer says:

1. I have either an King or a Queen.
2. Given only the information you know now, if it is impossible for me to have a Green card, then my card is Blue.
3. Given only the information you know NOW, if your card is more likely to beat mine than not, then my card is Red.
   Who has the higher card?YouThe Dealer

   Back to the Mathematicians' Casino Index!