Puzzle #42
 

 

Higher Card

You find yourself at the Greenjack table. Greenjack is similar to Blackjack, except for the fact it is completely different. 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 goes: you are dealt one card face up, and the dealer is dealt one card face down. The dealer then says some true statements, and you have to work out who has the higher card, you or the dealer. It's that simple!

Round 1:

You are dealt the Green Ace and the dealer makes three statements:

1. My card would beat any Queen.

2. taking this into account, you have to know that if my card is more likely to beat yours, then my card is Blue. Otherwise it isn't.

3. finally, if your card is more likely to beat mine, then my card is a King. Otherwise it isn't.

Who has the higher card, you or the dealer?

 

 
   

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