What are the Chances?

Each time this page loads, each tile in the background rotates to a random position.  What does that mean?  Well, the first tile rotates to 1 in 4 positions, and that means that there is a 1 in 4 chance of seeing it that way (1/4).  The tile next to it also has a 1 in 4 chance of rotating to its own position. So, we now have 1/(4×4) possible positions, or, a 1/16 chance of seeing those two tiles arranged that way. When we consider the third tile, now there is a 1 in (4*4*4 ) chance of seeing that arrangement, or, a 1/64 chance. We have 18 different tiles here in each section, so that means after we multiply each level of possibility, we have a 1/68,719,476,736 chance of seeing the exact same arrangement as on another page load.

There are 7 sections of this arrangement on the page, all containing 18 blocks each. When you multiply out all of the 4 possible combinations, you have a chance of:

1/7,237,005,577,332,260,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

Of seeing the exact same page again. That’s a number in the duovigintillions. That’s just about the same number of atoms in the universe.

This is how the ‘odds or ‘chance’ that slot machines utilize. Let’s say you are playing on a 5-reel machine, with each reel having 32 ‘positions’ that you could land on. The top award will usually occur once per reel. That means you have a 1/32 chance of landing the top award symbol on that first reel.  What about the second reel showing that top award?   You now have a 1/(32*32) chance of landing both top winners on the first two reels. Which is 1/1024 chance. When you have a third reel, then that diminishes your chance to get three different top winning symbols to 1/32,768.

4th? 1/1,048,576

5th? 1/33,554,432