In front of you are the numbers 1 through 16. To get started, I want you to pick a number. You can pick any of these sixteen numbers. But you should remember which number you have picked. It might help if you circled it as you will need to remember number for the rest.
Now I want you to pick a second number and I want one condition: I want that number to be in a different row and a different column from the first number you have picked. So if you picked the number 10 as your first number, the next number you pick should not be in the same row, and it should not be in the same column. So you can pick from any of the remaining numbers that are not in the same row and the same column as the first number you have picked. I also want you to remember this number so remember the first number you have picked and the second number you have picked.
You are going to repeat this process: pick a third number that is in a different row and a different column from the first two numbers you have picked. So you don’t want this number to be in the same row or the same column as either of the first two numbers you have picked. So now you have picked three different numbers and I want you to remember them because you are going to have to do one more thing.
I want you to pick a fourth number that’s also in a different row and in a different column from the previous three numbers you have picked. So if you have followed along correctly, you have now picked four numbers, and you played according to the rules where they are in different rows or in different columns so your numbers might end up looking something like this. So you’ve got your four numbers and I want you to add up these four numbers so there is no way. I could’ve known what the first number you’ve picked, or the second number was, or third or the fourth.
But nowhere comes a prediction. Add up those four numbers you have and here is what my prediction is: My prediction is the sum of numbers is 34. Am I correct?