Puzzle 79: Game of 22
Arrange three rows of cards from ace to 4 as shown below.
Two players alternately choose a card and add it to the common total. The winner is the player who makes 22 or who forces the other player to go beyond 22. What is a winning strategy?
Adapted from: http://www.mathfair.com/other-puzzles.html
Extension: Extend your strategy to more cards. Can you play with 4 rows of ace to 4? How about 5 rows of ace to 5? What adjustments do you need to make to make the game fair?
Adapted from: http://www.mathfair.com/other-puzzles.html
Extension: Extend your strategy to more cards. Can you play with 4 rows of ace to 4? How about 5 rows of ace to 5? What adjustments do you need to make to make the game fair?