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What is the chance of getting a shiny AND a hidden ability Pokemon in Kiloude City Friend Safari or horde battles?

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In Generation 6, the chance of encountering a Shiny Pokémon is 1:4096. In horde battles, this works out to be a chance of 5:4096 (ca. 1:819) 1:819.6. 1-((x-1)/x)^5

The chance to find a Pokémon with a hidden ability is not fixed (I don't have any information about it, because I didn't play Gen V/VI much and don't know the chance to get the hidden abilities).

The best idea is to catch a male pokemon with the hidden ability and take it in the pension with a ditto. The chance that the hidden ability gets inherited is 60%. So the chance is 1:6827.

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    If you have a 1/x chance of something happening, and you get 5 tries, your end result is not 5/x. It's 1-((x-1)/x)^5. In this case, it's pretty similar, but it makes a huge difference with smaller x.
    – Invader Skoodge
    Mar 12, 2014 at 14:57
  • 0,00122010722405363567638625355016 nice number and jet? this is a game forum no math forum pls. Also, you could say the correct value, so I can change it.
    – Warterminator
    Mar 12, 2014 at 15:23
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    The exact odds are 1406687856537601/1152921504606846976, which works out to about 1/819.6. In this particular case, the difference between the two numbers is less than 0.001%.
    – Michael Madsen
    Mar 12, 2014 at 17:10
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    @Warterminator I didn't say to just give a number and jet. I just mean if you're going to answer the question then at least use the right method to answer it. You still can and should give extra details about what that equation means, how it works, why it's relevant, etc. This is not a forum at all, it's a Q&A site, and when the A requires math (such as a question about statistics), then get the math right, please.
    – Invader Skoodge
    Mar 12, 2014 at 18:21
  • All happy jet? thx. If someone knew the chance to get a hidden ability pls add it here.
    – Warterminator
    Mar 13, 2014 at 10:11

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