Breeding Question

[Wicked13]

I decided to get a little too into details so (If the Destiny Knot is equipped on any of the parents)...
Breeding parents 31/31/31/31/31/31 and 31/x/31/31/31/31
will produce a 31/31/31/31/31/31 Pokemon 1.8229% of the time or 1 out of every 54.8571 eggs!

Chance of hatching Goal within X number of Eggs:
Eggs Chance
1 1.8229%
5 8.7883%
10 16.8042%
30 42.4157%
50 60.1428%
100 84.1141%
200 97.4764%
500 99.9899%
1000 ~100%

Odds of getting X number of perfect IVs
IVs No Modifiers With Modifiers
6IV 1.8229% 1.8229%
5IV 57.8125% 57.8125%
4IV 40.3646% 40.3646%
3IV 0.0000% 0.0000%
<3IV 0.0000% 0.0000%
Expected number of perfect IVs: 4.6146

IV Spread Distrubution (no modifiers)
IV Spread Chance
31 / 31 / 31 / 31 / 31 / 31 1.8229%
31 / 31 / 31 / 31 / 31 / xx 8.0729%
31 / 31 / 31 / 31 / xx / 31 8.0729%
31 / 31 / 31 / xx / 31 / 31 8.0729%
31 / 31 / xx / 31 / 31 / 31 8.0729%
31 / xx / 31 / 31 / 31 / 31 17.4479%
31 / xx / 31 / 31 / 31 / xx 8.0729%
31 / xx / 31 / 31 / xx / 31 8.0729%
31 / xx / 31 / xx / 31 / 31 8.0729%
31 / xx / xx / 31 / 31 / 31 8.0729%
xx / 31 / 31 / 31 / 31 / 31 8.0729%
xx / xx / 31 / 31 / 31 / 31 8.0729%

and the odds hatching a shiny are
Masuda Method and Shiny Charm: 1/512
Shiny Charm alone: 1/1365
Masuda Method alone 1/683