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Is it possible to get a Diamond Shovel from a Toolsmith villager in Minecraft Java Edition?

According to the Wiki and some forums, an Expert-level Toolsmith villager can offer three types of trades.
Diamond -> Emerald.
Emeralds -> Enchanted Diamond Axe.
Emeralds -> Enchanted Diamond Shovel.
So far, I have upgraded six villagers to the expert level, and none of them offered the shovel trade (but always had the other two). Am I super unlucky, or is the data wrong, or is there some trick?
Minecraft versions: 1.19.3.
Question from user Uko at gaming.stackexchange.com.
Answer:
You're just super unlucky.
The villagers pick 2 trades out of their pools on every mastery level. So you have a 2/3 chance for every Expert Toolsmith to choose the shovel (and 1/3 that for it not to choose it).
That means that if you upgraded 6 of them, your chance of not getting a single one is (1/3)^6 = 0.0014 = 0.14%.
Answer from user Plagiatus at gaming.stackexchange.com.

According to the Wiki and some forums, an Expert-level Toolsmith villager can offer three types of trades.
Diamond -> Emerald.
Emeralds -> Enchanted Diamond Axe.
Emeralds -> Enchanted Diamond Shovel.
So far, I have upgraded six villagers to the expert level, and none of them offered the shovel trade (but always had the other two). Am I super unlucky, or is the data wrong, or is there some trick?
Minecraft versions: 1.19.3.
Question from user Uko at gaming.stackexchange.com.
Answer:
You're just super unlucky.
The villagers pick 2 trades out of their pools on every mastery level. So you have a 2/3 chance for every Expert Toolsmith to choose the shovel (and 1/3 that for it not to choose it).
That means that if you upgraded 6 of them, your chance of not getting a single one is (1/3)^6 = 0.0014 = 0.14%.
Answer from user Plagiatus at gaming.stackexchange.com.
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