Card game #2
You are playing a game with your friend.
It is played with a deck of only 16 cards, divided into 4 suits: and
There are four cards in each suit: Ace, King, Queen and Jack.
Ace outranks King, which outranks Queen, which outranks Jack - except for the Jack, which outranks every other card.
If two cards have the same face value, then outranks , which outranks , which outranks , again except for the , which outranks everything.
Here's how the game is played:
You are dealt one card face up, and your friend is dealt one card face down. Your friend then makes some true statements, and you have to work out who has the higher card, you or your friend. It's that simple!
You are dealt the Ace and your friend makes three statements:
Statement 1: . My card is higher than any Queen.
Statement 2: . Knowing this, if my card is more likely to beat yours, then my card is . Otherwise it isn't.
Statement 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?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Statement 1 narrows your friend down to a King, a non-Green Ace, or a Green Jack (8 cards). Of these 8 cards, exactly 4 will beat yours, so your friend's card is NOT more likely to beat yours (as it is equally likely). Thus, by Statement 2, your friend's card is not Blue, and must be a Green Jack, Red Ace, Orange Ace, Red King, Orange King, or Green King. Again, exactly half of these 6 cards will beat yours, so your card is not more likely to beat your friend's, and by Statement 3, it is not a King. All three remaining possibilities (Green Jack, Red Ace, Orange Ace) are higher than yours.