: Following this pattern ensures your opponent is eventually left with exactly 1 stick , which they are forced to pick up, making them the loser. Why This Works
). By controlling these cycles, you dictate who hits the final, unavoidable stick. Practice Challenge : Following this pattern ensures your opponent is
If you were playing with instead of 11, and the same rules applied (take 1, 2, or 3; last one loses), how many sticks should you take on your first move to guarantee a win? A) 1 stick B) 2 sticks C) 3 sticks Answer and Explanation: Practice Challenge If you were playing with instead
: For every subsequent turn, simply "complement" whatever your opponent takes so that the total removed in that round equals 4 . If they take 1 , you take 3 ( If they take 2 , you take 2 ( If they take 3 , you take 1 ( last one loses)