K, so here's what GameFAQs told me. First, the number of possible ID numbers.

Granted, there are **65,535** possible lottery numbers / IDs, so your chances still aren't very good, but you may get lucky.

That's quite a few. The gravity of that many possibilities below.

>[So the odds of winning the Jubilife Lottery are **N/10^5**] where N is the number of different OT numbers you have:

The winning numbers change every day, so on average it would take (10^5)/2 days (or 136 years) to win one Master Ball without trades (and average one Master Ball every ~274 years.)

Dang. That's, like, five generations of PXs. Here's the same statistic from a different source for verification:

Now, in Platinum, you can have a maximum of 18 PC boxes that hold 30 Pokémon each. 18 x 30 = **540**. You can also hold six Pokémon in your party, so the number goes up to **546 Pokémon maximum.** If, by some impossible feat, you managed to get 546 Pokémon with different ID no.'s, let's see how that affects your odds.

N/(10^5)

10^5 = 100,000

N = 546

546/100,000 = 0.00546

This means your chances of getting a Master Ball, with as many possible different ID numbers, is about **0.005**, or **5 in 1000**, or **1/200**, or **0.5%**.

Of course, you likely won't get that many different IDs, so here's your chances with only Pokémon you've caught:

N/100,000

N = 1

1/100,000 = 0.00001

So, your chances alone are a mere **0.00001**, or **1 in 10,000**, or **0.001%**. Good luck!

### I am not a mathematician. If I erred, please inform me.