Make 15 You and I are going to play a card game. The rules are as follows:
• 9 cards, numbered 1 – 9, a placed face up on the table between us
• You go first
• On your turn you may pick up any one card from the table
• We alternate turns, each picking up one card at a time
• The winner is the first player to get any three cards that add up to exactly 15 (You can have more than three cards in your hand as long as three of them add up to 15. For example, if I was holding 8, 6, 2 and I could pick up the 5 I would win with 8, 2, 5)
What strategy should you follow to always win at this game, or at least never lose?