Thanks for this thread. I've done the math for all cases up to 20 dice, in an Excel spreadsheet. While it's true that the probability of a botch can go up in certain conditions, like at difficulty 9 when you go from 1 to 2 to 3 dice, at the same time the odds of success are rising faster, and there are no conditions where the odds of a botch are higher than or rising faster than the odds of a success. The odds of success, on the other hand, will always rise, in all cases, when you roll more dice. The absolute botch-happiest condition is when the difficulty is 10 and you're rolling 6 dice, but even at that point the odds of success are over 46% and the odds of a botch are under 27%.
Botch happens, but it's never likely.
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oWoD Dice Probability chart
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I have this problem with players i know saying ridiculous things like "the more dice i roll, the higher the likelihood i'll fail or botch" and every time i hear it my brain breaks a little. They came from a group who play OWOD with NWOD 1's rules. This is spectacular.
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I got one better for you. Here's a small program that will calculate dice pools for up about ~15 dice. It can do more but it will take a long while, too lazy to switch to another language. This uses an equation to calculate chances. No estimations.
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That was the intention behind it
It's more often than not the storyteller who struggles to figure out how demanding or easy a certain roll might be, and might have trouble getting just the right challenge set up for a task.
Glad you like it!
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Oh! I can see this being very useful when I'm assigning difficulty to specific tasks. Thank you!
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oWoD Dice Probability chart
Ohai,
Created with the little application I mentioned here, this is a spreadsheet chart of WoD dice success, failure and botch probability percentages, along with the average successes per roll:
Spreadsheet Link
The format is Success% / Failure% / Botch% (avg. successes)
I hope some find it to be of use. The percentages are somewhat rounded to the first decimal, and are all based on the averages of 100-million rolls per difficulty and dice amount. Difficulty goes up to 9. The second table beneath the first is for specialty-rolls.
The spreadsheet is color-coded to highlight the most common difficulty and dice amounts, as well as the 10-dice barrier.
Enjoy!Last edited by Ambrosia; 08-04-2015, 01:54 PM.Tags: None
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