Egg IV Distribution
Here's some Spread Sheet Probability Math for Egg Hatchings
IV total Frequency Prob
30 1 0.005
31 3 0.014
32 6 0.028
33 10 0.046
34 15 0.069
35 21 0.097
36 25 0.116
37 27 0.125
38 27 0.125
39 25 0.116
40 21 0.097
41 15 0.069
42 10 0.046
43 6 0.028
44 3 0.014
45 1 0.005
Frequency is the Number of Different ways you can get that total 44 (97%) IVs. Like 44 could be 15 Hp, 14 Att, 14 Def OR 14 Hp 15 Att 14 Def OR 14 Hp 14 Att 15 Def
Probability is as Decimals.
So .097 is same as 9.7% Chance
Answers
One of the fun things about this is when you hatch an Egg and you get that top rating
Then you get that "Hp is it's strongest feature"
Then you get that "It's matched equally by its attack"
Then you get that "it's matched equally by its defense"
You have gone from a 1/2 of 1 percent chance to of a Perfect Pokemon, to a 33.3% chance when you hit that final button.
Since it's either 13-13-13 or 14-14-14 or 15-15-15
Another interesting way to look at this since Eggs are a minimum of 10. There are 216 combinations of numbers you can get.
Of which 81/216 37.5% would be the Second Rating
The other 62.5% would be the highest rating
So on any Egg Hatching you have roughly twice as good a chance of getting the Top Rating.
Another interesting way to spin the numbers is for the 90% or above crowd. If you are one of those who only invests dust in 90% Pokemon, you are looking at 41 or higher IVs which means 35 combos / 216 or s 16.2% chance of getting a 90%+ Pokemon from an Egg
