Problem of the Week
for Friday, February 6

 

Last week's game was unfair to one of the players.
Can you design a fair "finger game" for three players?

Nipu's Solution:

In this game each player can choose 1, 2 or 3 fingers.

Player # 1 wins when the total is 4 or 5

Player #2 wins when the total is 7 or 8

Player #3 wins when the total is 6, 3 or 9

Each player has 9 chances to win in 27 tries!