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The pet chance is rolled primarily during a patch's check health stage; if the patch does not have an option to check health, it instead rolls during the final harvest. A player's actual chances of receiving it is 1 in B - (Lvl * 25), where B is the base chance and Lvl is the player's Farming level.
Do giant seaweeds every time you do a bird house run. Those have an absurd base chance for the pet. All fruit trees has same chance. Just plant cheap fruit trees along with cacti, belladonna, mushroom and seaweed. That way you get it with minimal cost. Giant seaweed is the best by a large margin.
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At 99 Farm, chance from each herb patch is 1/95889. 7 Patches so 7/95889. 5 herb runs a day so 35/95889. Per day, that's a 0.03650053708% chance to get the pet each day. That's like 13.32% chance to get in the next year on rate. So adding them together is like 56.92% chance to get in within the next year on rate.
The tangleroot is a skilling pet that can be obtained when checking the health and harvesting the final crops of any fully grown farming patch. It can also be obtained while playing the Tithe Farm minigame. The chances of getting it are dependent on the player's Farming level, and the produce...
Base chances are found on the individual page for each pet. A player's chance of receiving a skilling pet does not increase past level 99, with only one exception: players with 200 million experience in the corresponding skill will be fifteen times more likely to receive the skilling pet.
The formula used to calculated the per chance value is: 1 B − (L e v e l * 2 5), where B is the base chance and Level is the skill level. Results in the actions per hour conversion are rounded to 2 decimal places.