Reply To: Mastery Points

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@mvnla2, I think I just got it…
When you visit the dojo at first:
There’s 100% chance that there’s 1 bronze chest in one slot.
There’s 50% chance for each other slot to contain a bronze chest.
There’s 50% chance for each other slot to be a silver or gold chest.

This adds up to 66% of all initial offerings in the dojo to be snoutling offerings. If we take this figure into account for all following offerings in the dojo, you end up with the following.

The first offering in the dojo should average at 2 snoutling offerings.
After taking both snoutling offerings, you get 1,33 new snoutling offerings. This adds up to 3,33 (66% of the 2 new offerings).
Taking the 1,33 snoutling offerings, you get 0,89 offerings. This adds up to 4,22.
Taking the 0,89 offering, you get 0,59 offerings. This adds up to 4,81.
Taking the 0,59 offering, you get 0,39 offerings. This adds up to 5,21
Taking the 0,39 offering, you get 0,26 offerings. This adds up to 5,47
Taking the 0,26 offering, you get 0,18 offerings. This adds up to 5,65
Taking the 0,18 offering, you get 0,12 offerings. This adds up to 5,77

And so on. If you keep adding this up to infinite buys, you end up at an average of 6 total offerings, which is fully in line with our statistics.

The only flaw in this reasoning is the forced first offering which we start with…