What are the chances of getting a perfect Pokemon with a 6iv ditto?

Question

What are the chances of breeding a Pokémon with a 6iv ditto to produce a perfect IV Pokemon? It seems awfully rare that with my 6iv ditto I'm able to breed a perfect Pokemon. Would I need to rebreed continually and pair the ditto with the "best of the litter" to increase my chances?

Answer 1

Flawless Ditto + No perfect IV Pokemon :

>Breeding parents 31/31/31/31/31/31 and x/x/x/x/x/xwill produce a 31/31/31/31/31/31 Pokemon 0.0977% of the time or 1 out of every 1024 eggs!

Flawless Ditto + One Perfect IV Pokemon

>Breeding parents 31/31/31/31/31/31 and 31/x/x/x/x/xwill produce a 31/31/31/31/31/31 Pokemon 0.1790% of the time or 1 out of every 558.5455 eggs!

Flawless Ditto + Two Perfect IV Pokemon

>Breeding parents 31/31/31/31/31/31 and 31/31/x/x/x/xwill produce a 31/31/31/31/31/31 Pokemon 0.3255% of the time or 1 out of every 307.2000 eggs!

Flawless Ditto + Three Perfect IV Pokemon

>Breeding parents 31/31/31/31/31/31 and 31/31/31/x/x/xwill produce a 31/31/31/31/31/31 Pokemon 0.5859% of the time or 1 out of every 170.6667 eggs!

Flawless Ditto + Four Perfect IV Pokemon

>Breeding parents 31/31/31/31/31/31 and 31/31/31/31/x/xwill produce a 31/31/31/31/31/31 Pokemon 1.0417% of the time or 1 out of every 96 eggs!

Flawless Ditto + Five Perfect IV Pokemon

Breeding parents 31/31/31/31/31/31 and 31/31/31/31/31/xwill produce a 31/31/31/31/31/31 Pokemon 1.8229% of the time or 1 out of every 54.8571 eggs!

Flawless Ditto + Six Perfect IV Pokemon

>Breeding parents 31/31/31/31/31/31 and 31/31/31/31/31/31will produce a 31/31/31/31/31/31 Pokemon 3.1250% of the time or 1 out of every 32 eggs!

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Remember that this is rough guide and breeding all depends on Luck most of the time :)

Comments

How did you do the math for this, if there is a calculator for it can you pls tell me

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This is the calculator used in the answer. https://mkwrs.com/destiny_knot/
The process to calculate something like this is called binomial distribution.

Answer 2

If you have the Ditto hold the Destiny Knot, it passes down 5 IVS in between the two parents. If you breed two perfect Pokemon, you have a very high chance of getting a 5IV baby. However, the 6th IV is all up to chance. You could have one of the parents hold a Power Bracer to increase the chances. With the Destiny Knot and the Power Bracer, you have a 1/32 chance of getting a perfect Pokemon.

Source: http://www.marriland.com/forums/pokemon-6th-generation/pokemon-x-y/475445-6-iv-breeding-chances-and-advice