# The Chances Volume 3: Of getting two numbers from 1 to 100 that if you divide, you get 2, or 1/2

This time I’ve got number probability, and this is a good one. So, here are the rules.

Two people go into to different rooms and both see 100 boxes with a random number from 1 to 100. They do not have any way to communicate to each other. If the numbers they pick divide to 2 or 1/2, they can go to the next door (The Chances Ep 4). If they don’t, they’ll be forced to go back to the start and try again. What are the chances to go to the next door?

First, figure out how many combinations there are to make with these numbers. We do:

100 x 100 = 10000

So, 10000 combinations. Now, how many are there?

We could get 1:2 or 2:1 to go to the next door. So that means there are 98 more fractions, because there are 49 others, like 2:4, 3:6, and so on.

Now we have our fraction: 100/10000.

That would equal 1/100, which means there is only a 1% chance of moving on to the next door.

They are more likely to get thrown back to the start, which means there will be a one percent chance of the next episode being more on this door. But that just a chance…

THE CHANCES!!