What is the catch rate of this?

Question

In percent, what is the catch rate of a Pokémon with an official catch rate of 3 when it has 1 HP, it's asleep or frozen, and you are using an Ultra Ball or any other ball that doubles your chances?

Comments

I think I almost have the answer

However I have a little question myself, Is there any Pokemon specifically because I actually need to know what Pokemon it is since it's HP plays a role in the calculations. Also, in what generation is this, because the calculations vary between the generations :)

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lets just assume its BW and its HP is ONE.

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ok, generation V, but I need the max HP of the Pokemon :/

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........ why dont you give an ESTAMANT?

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because it is very possible that it varies between Pokemon though I am guessing that all Pokemon at 1 HP with a status inducement will most likely have a 0.6% chance of being caught

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I say ask Smogon's calculator because we don't have enough info to know the answer but it does. BYE HAVE A GREAT TIME

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I forgot to mention.  It is 4th Gen, Azelf, with 135 max HP that made me think of this.

Answer 1

Well, here is the formula:

So, when we personalize this to our dilemma, it is:

(((3 x HP Max - 2 x 1) x 3 x 2) / 3 x HP Max) x 2

Now - since you didn't give us the HP Max (a very important part of the equation) I will assume it's 150. I'll edit the answer once you give it to us, but just so you know. :3

Now the equation is:
(((3 x 150 - 2 x 1) x 3 x 2) / 3 x 150) x 2

3 x 150 (Maximum HP) = 450
2 x 1 (Current HP) = 2
450 - 2 = 448

The equation is now:
((448 x 3 x 2) / 3 x 150) x 2

448 (number from previous bracket) x 3 (Base Catch Rate) = 1,344
1,344 (number from above) x 2 (Ultra Ball) = 2,688

The equation is now:
(2,688 / (3 x 150)) x 2

3 x 150 (Max HP) = 450

The equation is now:
(2,688 / 450) x 2

2,688 / 450 (both numbers from previous equations) = 5.973333 (rounded to 6)
6 (number from above) x 2 (SLP or FRZ) = 12

So, the catch rate for the Pokemon with that criteria with the assumption of Max HP 150, the answer is 12.

Hope I helped. :)

Comments

That's a lot of math...


(12?!?!?!  That's like 1.2%!  No wonder Azelf took so darn long to catch!!!)
(And Uxie was easy...)
Edit:  Ahem, please excuse my rushing while doing math.  I meant 1.6%.

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Use dusk balls cause it's in a cave.

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This doesn't have to do with what ball should be used, what matters is the math.

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It also should be noted that the capture rate (12) is still pretty low, because Pikachu's capture rate is 190. Just saying. :3

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Who else just skipped to the bottom to find the answer?