What are the odds of finding two Shiny Spinda that have the same pattern?

Question

What are the odds of finding 2 Spinda that have the same pattern and are shiny, since the odds of finding 2 with the same pattern are 1 in 4 million?

Answer 1

I checked around, and Spinda has exactly 2^32 variations, or 4,294,967,296. You have a 1/8192 chance of having a shiny Pokemon, so the probability of having just two is:
P(A)P(B)
1/2^321/8192=3.518 E13=chance of 1

so the chance of having two is
P(A)P(B)
3.518E131/8192=2.88 E17

-assuming my math is correct, you have a 1 in 288230376200000000 chance. Good luck with that.
It's about a .0000000000000001% chance by the way.

As of Gen 6 to the present, the shiny odds have been increased to 1/4096. Because of this, the Shiny odds are now .000000000000000002%

Comments

Does this mean that a shiny Spinda is more common than finding 2 Spindas that look the same. lol

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This answer is only valid for Gen 3, 4 and 5 as the shiny odds were increased to 1/4096 from Gen 6. The new odds for Gen 6+ would be 4 times the odds calculated in the answer, so can someone please edit that in?

Edit: The new odds are 1 in 72057594050000000 or about .0000000000000004% (that's 15 0s).
@J Correct edit, please?