Ok. So there's a 1/8192 chance of getting a shiny. I've heard a lot of my friends complaining that they haven't seen any shinies at all, and for their sake, and for anyone else who is curious, I've done some calculations:

Your chances of finding your first shiny within (insert number here) battles:

Within 1 battle: 0.0122% (good luck with that one.)

Within 100 battles: 1.2% (12 people out of 1000 will see one within the first 100 wild pokemon battles.)

Within 500 battles: 5.9%

Within 1000 battles: 11%

Within 3000 battles: 30.6%

Within 5000 battles: 45.67%

Within 5681 battles: 50% (At this point, you will have a coin's flip chance of finding a shiny for every run of 5681 battles you do.)

Within 8192 battles: 63.19% (Just because you have a 1/8192 chance of finding a shiny does not mean you will be guaranteed one within 8192 battles)

Within 11,363 battles: 75%

Within 18,875 battles: 90%

Within 37,800 battles: 99%

Within 80,000 battles: 99.99%

These calculations assume you're only looking for one shiny. However, the chance of finding a shiny is so slim, that you can basically take this to mean find at lease 1 shiny within X number of battles. To give you an idea of the difference:

The chance of finding one shiny within 18,875 battles: 90.00%

The chance of finding at least one shiny within 18,875 battles: 90.01%.

So, if you ever start complaining about how you haven't found a single shiny yet, ask yourself... "Have I fought enough battles to make it likely?" (A safe bet would be about 18,875 battles.)

Platinum FC: Flak 5284 7361 6972