Projectile longevity chart.
Data created using an iterative function similar to the following:
Total = 100 Total = 100 Repeat(Total = Total + (100*(1/3)^x), x,1,9999) Ans = 150
Which is to say, it starts at 100 and adds up the multiple of the breakage chance (100 + 33.33 + 11.11, etc). It does this 9999 times, which is intentionally overkill (and actually well outside the precision level of my calculator, for that matter).
This description is shared among all six of these charts, and thus, the actual function will vary slightly (replacing the instance of 1/3 with whatever the odds happen to be).
- Total = 100 /(1 - (1/3)), replacing 1/3 with whatever the odds are (and 9999 with infinity). See wikipedia:Geometric_series#Formula. The iterative algorithm sketched above introduces a lot of numerical error. Tjr 20:35, July 11, 2010 (UTC)
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