Suppose in a game with a pile containing a large number of chips, you can remove any number from 1 to 6 chips at each turn. What

Question

4 years ago

6

is the winning strategy?

1 answer:

liq [111] · Answer 1 · 2022-01-20T05:32:02+03:00

Answer: the winning strategy is to take 1 chip, leaving our opponent with the losing position of 5 chips.

Step-by-step explanation:

suppose we start with 6 chips.

* If we take 1 chip, we leave our opponent with 5 - which we showed

was a losing position for him.

* If we take 2 chip (leaving 4), our opponent will take 3 - we lose.

* If we take 3 chip (leaving 3), our opponent will take 2 - we lose.

So our winning strategy is to take 1 chip, leaving our opponent with

the losing position of 5 chips.