Brain Teasers
Higher Card
You find yourself at the Greenjack table. Greenjack is similar to Blackjack, except that 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 is played: you are dealt one card face up, and the dealer is dealt one card face down. The dealer then makes 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. Knowing this, if my card is more likely to beat yours, then my card is Blue. Otherwise it isn't.
3. Given all of the information you now know, 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?
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 then makes 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. Knowing this, if my card is more likely to beat yours, then my card is Blue. Otherwise it isn't.
3. Given all of the information you now know, 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?
Answer
The dealer's card is higher: after #1 you know that you have a Green Ace (GA) and the dealer's card can beat any Queen, therefore the dealer must have one of the following cards: RA, BA, OA, RK, BK, OK, GK, GJ. Of these 8 cards, 4 can beat yours, therefore by #2 the dealer can't have a blue card, which means that his card must be one of: RA, OA, RK, OK, GK, GJ. Of these 6 cards your card can beat 3, therefore by #3 the dealer can't have a King, which means he has one of: RA, OA, GJ - all of which can beat your card. Therefore the dealer's card is higher.Hide Answer Show Answer
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