"[Math] The Hatchathon event functionally reduced the number of 10km eggs you encounter"

#PokemonGO: If we're going by this post then the chance for getting a 10km egg probably stayed the same during the event. So I wondered why people were feeling a reduced rate and I did a little math.The result is that by reducing the chance for 2km eggs, Niantic reduced the total number of eggs you hatch with a given walking distance. But since the chance for 10km eggs stayed the same, this change also reduced the total number of 10km eggs you hatch with a given walking distance.We can calculate by how much:Let the following values bea - Number of 2km eggs you hatch with some fixed walking distance outside of the event b - Number of 5km eggs you hatch with some fixed walking distance outside of the event c - Number of 10km eggs you hatch with some fixed walking distance outside of the event a' - Number of 2km eggs you hatch with some fixed walking distance during the event b' - Number of 5km eggs you hatch with some fixed walking distance during the event c' - Number of 10km eggs you hatch with some fixed walking distance during the event x - total number of eggs you hatch with some fixed walking distance outside of the event y - total number of eggs you hatch with some fixed walking distance during the event Then we can use this formula to equate the walking distance:2a + 5b + 10c = 2a' + 5b' + 10c' We can also use the percentages from the linked thread above:a = 0.3x, b = 0.5x, c = 0.2x a' = 0.1y, b' = 0.7y, c' = 0.2y ​So that gives us0.6x + 2.5x + 2x = 0.2y + 3.5y + 2y ory = 17/19 x ory = 0.895x This just shows that the event essentially gives out a bit less than 90% 10km eggs compared to before. The reason is that you get 10% less draws from the random pool.​ via /r/TheSilphRoad http://bit.ly/2QDR2Xw