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some professor reroll arithmetic

yojimbos_law | PRO | 10/03/19 04:35:33 PM UTC | 0 ⭐ | 890 👁️ | Never ⏰ | []
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290 B

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base drop fraction = b
item drop bonus fraction = i
 chance to get item = b*(1+i)
chance to get item with three rolls = 1 - ( 1 - b*(1+i) ) ^ 3
increased chance due to rerolls = 1 - ( 1 - b*(1+i) ) ^ 3 - b*(1+i)
equivalent amount as an item drop bonus = ( 1 - ( 1 - b*(1+i) ) ^ 3 - b*(1+i) ) / b

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