PokéBase - Pokémon Q&A
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And no, I’m not saying only the chances after a chain of 40. I want to see the chances for every time the chances are increased, because I’m thinking of trying a lower chain because I can’t get to 40

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0 8/65536 (1/8192)
1 9/65536 (~1/7282)
2
3
4
5 10/65536 (~1/6554)
6
7
8
9 11/65536 (~1/5958)
10
11
12 12/65536 (~1/5461)
13
14 13/65536 (~1/5041)
15
16 14/65536 (~1/4681)
17
18 15/65536 (~1/4369)
19
20 16/65536 (1/4096)
21 17/65536 (~1/3855)
22 18/65536 (~1/3641)
23 19/65536 (~1/3449)
24 20/65536 (~1/3277)
25 21/65536 (~1/3121)
26 22/65536 (~1/2979)
27 24/65536 (~1/2731)
28 26/65536 (~1/2521)
29 28/65536 (~1/2341)
30 30/65536 (~1/2185)
31 33/65536 (~1/1986)
32 37/65536 (~1/1771)
33 41/65536 (~1/1598)
34 47/65536 (~1/1394)
35 55/65536 (~1/1192)
36 66/65536 (~1/993)
37 82/65536 (~1/799)
38 110/65536 (~1/596)
39 164/65536 (~1/400)
40+ 328/65536 (~1/200)

These are the shiny odds in DP, but Bulbapedia desn't have any for XY, so I believe that they're the same (plus the article says that the chaining mechanics are similar to DP).

Hope this helps! :)

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Chances were halved in X and Y.....should I split these odds in half?
Hm, I don't think so, but maybe?

Anyway, heres the quote from the article: "Chains and other specific mechanics are believed to be similar to that of Diamond, Pearl, and Platinum"
A 1/4096 chance still happening at a chain of 20 would be kinda odd in X and Y.....
Yeah, maybe cut it in half. That does make more sense.
Ok. Thanks!
No problem! :)