Friday Puzzle #4

22 09 2011

Set is a card game requiring good perception and quick thinking. It is played with a deck of 81 special cards. Each card has four properties, and every property has three different values. There is exactly one card for every combination of property values, hence the size of the deck is 3^4 = 81. A “set” is three cards for which all four properties have either the same value, or all have a different value. A more elaborate description of the game can be found here.

What is the probability that three randomly chosen Set cards form a “set”?




One response

23 09 2011

Given any two cards there is exactly one card that competes the set, so 1/79?

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