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Author Topic: Novus - Explosive Roll Probabilities  (Read 1051 times)

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Offline Trentin Bergeron

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Novus - Explosive Roll Probabilities
« on: May 28, 2014, 10:19:52 PM »
Here's a link to the Any Dice probability calculator showing the probabilities of the Explosive Roll for Novus.

http://anydice.com/program/3cfe

Here's the code in case it ever gets lost;





Code:

function: implode I:n {
if I = 1 { result: 1 + [implode d10] }
else { result: d10 }
}

function: explode E:n {
if E = 10 { result: 10 + [explode d10] }
else { result: d10 }
}

function: novusroll X:n plus T:n {
if X = 1 & T = 10 {result: 11}
if X = 10 & T = 1 {result: 11}
if X >= 2 & X <= 9 {X: X}
if T >= 2 & T <= 9 {T: T}
if X = 1 & T >= 2 & T <= 9 { result: X + T - [implode d10] }
if T = 1 & X >= 2 & X <= 9 { result: T + X - [implode d10] }
if X = 10 & T >= 2 & T <= 9 { result: X + T + [explode d10] }
if T = 10 & X >= 2 & X <= 9 { result: T + X + [explode d10] }
if T = 1 & X =1 { result: T + X - [implode d10] - [implode d10] }
if T = 10 & X = 10 { result: T + X  + [explode d10] + [explode d10] }
result: X + T
}

function: novaroll P:n plus K:n {
if P = 1 & K = 10 {result: 11}
if P = 10 & K = 1 {result: 11}
if P >= 2 & P <= 9 { result: 0 }
if K >= 2 & K <= 9 { result: 0 }
if P = 1 & K >= 2 & K <= 9 { result: 0 }
if K = 1 & P >= 2 & P <= 9 { result: 0 }
if P = 10 & K >= 2 & K <= 9 { result: 0 }
if K = 10 & P >= 2 & P <= 9 { result: 0 }
if K = 1 & P =1 { result: 0 }
if K = 10 & P = 10 { result: 0 }
}

set "maximum function depth" to 10

output [novusroll d10 plus d10]
output [novaroll d10 plus d10]







Notes: This displays 2 outputs, one the range and probabilities of the Explosive Roll, the 2nd the chances of getting a Nova Roll. The program limits incursion, so it has to truncate results. However, I feel the sampling is decent enough to get an idea of the overall probabilities.

You can see that negative plunging numbers from implosions are less probable than higher ones from explosions. Also the nature of the implosion limits the lowest numbers. Combining this with heroic characters' stats, you can see why snags tend to happen less often (something I imagine players appreciate!  :o).
Trentin C Bergeron
Bard, Creative, & RPG Enthusiast

Offline Trentin Bergeron

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Novus - Explosive Roll Probabilities
« Reply #1 on: May 28, 2014, 10:23:10 PM »
You can also select the "roller" option and make several Explosive Rolls for use later. I know some GMs like to make lists of rolls and then cross them off in order as they are used (instead of rolling dice). Of course, to keep it fair, you have to do it in order.
Trentin C Bergeron
Bard, Creative, & RPG Enthusiast

imported_Rasyr

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Novus - Explosive Roll Probabilities
« Reply #2 on: May 29, 2014, 01:47:31 PM »
Actually, it is implosions that happen slightly less often, not too sure about Snags.... The thing to remember is that Snag breakpoints are based upon the TN of the roll, not upon any specific roll-points.

Snags always happen when the result of a roll is 10 or more points below the TN. So, if the TN is 15, Snags happen on rolls of 5 or less. If the TN is 35, Snags happen on rolls of 25 or less....


One thing that this does mean is that the Snags for rolls with lower TNs will be less severe than Snags for rolls with higher TNs (which is part of what was intended)

BTW, thanks for that AnyDice  writeup, I never was able to get the code for that figured out properly.... heheh

Offline Trentin Bergeron

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Novus - Explosive Roll Probabilities
« Reply #3 on: May 29, 2014, 06:09:12 PM »
...

BTW, thanks for that AnyDice  writeup, I never was able to get the code for that figured out properly.... heheh




My pleasure! Now people can see the tasty smooth curve of the Explosive Roll and dream of someday rolling a 200... or more!
Trentin C Bergeron
Bard, Creative, & RPG Enthusiast