Start with a sure-win problem, it's your opponent's turn to choose, the busting number is 5 (i.e. the player who chooses a card to add to to 6 wins).
So your objective is to force a 5 on your opponent. What about 22? Wait...
If the busting number is 10, you can force a 5 on your opponent using the following strategy: whatever he chooses, you choose the complement of 5, that will leave him 5 to go.
Similarly, force your opponent to get a 15, 20,... and you will assure of a win.
Now you'll decide who starts, and what the overall strategy. Play the game with a friend of yours to test your strategy. If you don't guarantee a win, post again.
Good luck.
Lay out sixteen cards: the Ace, Two, Three and Four of all four suits (hearts, clubs, diamonds, and spades). Two players alternately turn down a card and add it to the common score, and the player who makes the score 22, or forces his or her opponent to go beyond 22, wins. To ensure that they win, which payer should go first and why?
2 answers
(i.e. the player who chooses a card to add to to 5 wins).
1 answer