Real Mathematics – Game #5

Me versus You

I am going to play a game against you. Yes, I am talking to you, my beloved reader. I promise you that I will personally hand it to you whatever you win at the end of the game.

Rules:

  • You will start the game from top-left box. You will be making mini-runs. In other words you will take as many steps as I tell you to.
  • Each time you can take a step towards one of these four directions: Up, down, left and right.

    hepsis
    In case you take a step from 1000-Euro box, you can either go right to the 1000-dollar box or down to the Iphone-box. You can’t go from 1000-Euro box to the Starbucks-coffee box with one step as going diagonal is not allowed.
  • As long as you follow the second rule you can move freely. It is allowed to visit the same box more than once. Also you can go backwards too.
  • You should start your next step wherever you stopped in the previous run.
  • After every run I will select a box or two and eliminate them from the game. In case I eliminate a box where you are currently sitting, you will be declared as winners.
  • I repeat: Your steps should be either of these directions: up-down-right-left.

We’ll start whenever you are ready. Good luck.

Game

1.You will be moving inside these 9 boxes starting from the top-left which is the 1000-Euro box. Take 5 steps.

hepsi

2. I know that you didn’t stop at the 1000-Euro box. So I am eliminating it. Now, wherever you stopped in the previous run, start taking 7 steps. Did you do it? Okay, you can go to the next.

hepsi2

3. After those steps I am 100% certain that you didn’t stop at the 1000-dollar box. Thus I am eliminating it. Now continue the game with taking 11 more steps.

hepsi3

4. This time I will make a bold decision and eliminate two boxes: Left-bottom corner (a bag of money box) and car key box. You are sitting either one of the following five boxes. Now take 5 more steps.

hepsi4

5. I know that you are not standing on the Iphone box. I also know that you are not on the 100-dollar box. After eliminating them, take 1 last step from wherever you are standing.

hepsi5

Result: Now I can eliminate Starbucks coffee and 500-dollar boxes as you are standing on the zero box. I am afraid this is what you won: A big, fat zero.

hepsi6

One wonders…

You can play this game from top over and over again. In the end, you will get the same result. How is that possible? Why am I this confident?

M. Serkan Kalaycıoğlu

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