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A few psychic powers such as the Dark Angels' Trephination involve 2 units rolling off against each other using 2d6 and some bonus (LD in this case).

Without creating a massive table in Excel, how can I calculate this? My knowledge of statistical mathematics is letting me down.


EDIT: Nevermind. I read it wrong.

Average of 2d6 is 7 (2*3.5) with STDEV 2.4

I suspect he's none the wiser from that answer

Zustiur: you should create that 6x6 excel table. It will make it relatively straight forward to see that there is a 15/36 chance of winning, 6/36 chance of draw, and 15/36 chance of losing

Zustiur wrote:
A few psychic powers such as the Dark Angels' Trephination involve 2 units rolling off against each other using 2d6 and some bonus (LD in this case).

Without creating a massive table in Excel, how can I calculate this? My knowledge of statistical mathematics is letting me down.

What exactly are you trying to calculate? The probability of winning a 2D6 roll-off?

Howabout odds of winning roll off by x margin? That would be more interesting than just odds of winning

I guess what you want to know are the average wounds inflicted by 2d6 - leadership.

I'll give a quick list:

LD 12: 0
LD11: 0,03
LD10: 0,08
LD9: 0,28
LD8: 0,56
LD7: 1,03
LD6: 1,56
LD5: 2,27
LD4: 3,11
LD3: 4,02

Spoletta wrote:
I guess what you want to know are the average wounds inflicted by 2d6 - leadership.

I'll give a quick list:

LD 12: 0
LD11: 0,03
LD10: 0,08
LD9: 0,28
LD8: 0,56
LD7: 1,03
LD6: 1,56
LD5: 2,27
LD4: 3,11
LD3: 4,02

Close, but I think what he wants to know is what is the equation for determining which unit will win a 2D6 + Leadership Vs. 2D6 + Leadership roll-off. I do not know this equation.

Ok then here it is.

Chances of winning a 2d6 roll when we both have the same Ld is 44%.

If he the opponent has more Ld than me then the disadvantage versus chances goes like this:


1: 33,56%
2: 23,92%
3: 15,90%
4: 6,72%
5: 5,40%

On the other hand, if i have the advantage then:

1: 55,79%
2: 66,44%
3: 76,08%
4: 84,10%
5: 90,28%

Hope this is what he wanted.

Spoletta wrote:
Ok then here it is.

Chances of winning a 2d6 roll when we both have the same Ld is 44%.

If he the opponent has more Ld than me then the disadvantage versus chances goes like this:


1: 33,56%
2: 23,92%
3: 15,90%
4: 6,72%
5: 5,40%

On the other hand, if i have the advantage then:

1: 55,79%
2: 66,44%
3: 76,08%
4: 84,10%
5: 90,28%

Hope this is what he wanted.

Nice job! It was certainly something I was curious about, haha. Thank you.

Here, use this: http://anydice.com/program/de0a

Replace the 0 with their leadership and it'll give you the odds.

Spoletta wrote:
Ok then here it is.

Chances of winning a 2d6 roll when we both have the same Ld is 44%.

If he the opponent has more Ld than me then the disadvantage versus chances goes like this:


1: 33,56%
2: 23,92%
3: 15,90%
4: 6,72%
5: 5,40%

On the other hand, if i have the advantage then:

1: 55,79%
2: 66,44%
3: 76,08%
4: 84,10%
5: 90,28%

Hope this is what he wanted.

That is exactly what I wanted. Thank you.
Sadly, I've now realized I misread the psychic power anyway, so my reason for asking is no longer relevant.