Hard Pity is a mod that optimizes the experience of obtaining rare items in Minecraft. It adds a guaranteed drop mechanism for Wither Skeleton Skulls and Tridents, and also introduces a method for obtaining Dragon Eggs.

Overview

Every time a player defeats a Wither Skeleton, Drowned, or Ender Dragon, they will perform a lottery draw in the corresponding gacha pool, and the accumulated number of draws for each gacha pool is independent. If the tool held in the main hand has the Looting Enchantment, an additional 0-3 random lottery draws will be conducted based on the level of the Looting Enchantment.

Gacha Pool Rewards

Gacha Pool	4-Star Reward	5-Star Reward (Non-Pity / Hard Pity)	5-Star Reward (Pity)

Probability Disclosure

The hard pity is set at 40 draws, and the specific probability of obtaining a 5-star item (referred to as "obtaining gold" herein) in each draw is as follows:

Draws 1-35	36th Draw	37th Draw	38th Draw	39th Draw	40th Draw
0.6%	16%	33%	51%	80%	100%

The expected number of draws to obtain a 5-star item is 34, and the average probability of obtaining a 5-star item per draw is 2.95%.

For the first 5-star item obtained, there is a 50% probability of dropping the "5-Star Reward (Pity)" and a 50% probability of dropping the "5-Star Reward (Non-Pity / Hard Pity)". If the "5-Star Reward (Pity)" is dropped, the next 5-star item obtained will definitely be the "5-Star Reward (Non-Pity / Hard Pity)", and this count will then be reset.

The soft pity for 4-star rewards is 10 draws, and its count is independent of that of 5-star rewards.

Capture Bright Light

In general, if the number of lottery draws is large, the "Capture Bright Light" mechanism is equivalent to increasing the probability of obtaining a non-pity item in the soft pity to approximately 54.94%. The specific mechanism is as follows:

Each player has a "Capture Bright Light" counter with an initial value of 0 and a value range of {-1, 0, 1, 2}. This counter is stored in the player's data in the form of NBT. If the player gets a pity item once, the counter increases by 1; if the player gets a non-pity item in the soft pity, the counter decreases by 1 (if the count result is less than -1, the counter is set to -1). The "Capture Bright Light" counter for each gacha pool is counted independently.

If the counter is 1: When the soft pity is triggered, it first determines whether "Capture Bright Light" is activated, with an activation probability of 6%. If not activated, it normally judges whether the soft pity results in a pity item; if activated, it is regarded as a non-pity item in the soft pity, and the counter is reset to 0.

If the counter is 2: When the soft pity is triggered, it is directly regarded as a non-pity item in the soft pity, and the counter is reset to 0.

Notes

you can use this mod freely in your mod pack.

The lottery draw data of this mod is stored in the player's data in the form of NBT tags. Therefore, if you have administrator privileges, you can use the /data command to query and modify your gacha pool progress, soft and hard pity status, and the value of the "Capture Bright Light" counter.