NIM Game 3-4-5
The player who takes the last coin is the winner.
20 coins or other counters
strategic thinking, planning ahead
Lay out 20 coins.
Take turns picking up 1, 2, or 3. (For example, player one picks up 2 coins, player two picks up 1 coin, player 1 picks up 3 coins, player 2 picks up 3 coins, and so on.)
The player who picks up the last coin LOSES.
Don’t read this until you’ve played a while first
(Hint: if you always go second and always make sure that the total picked up in a round is 4 (they pick up 1, you pick up 3 or if they pick up 2, you pick up 2, etc) then you’ll always win. Why?)
Use fewer coins and see how the game plays out.
Make the rule that you can pick up 1 or 2 coins, not 3.
Make the winner the person who TAKES the last coin.