View Full Version : Screaming Banner vs Lizardmen

17-03-2008, 07:12
So, what happens? The banner says that one more dice is used for psychology tests and then the lowest is discarded. Cold-blooded rule says that Lizardmen roll 3 dice for Ld test and use lowest two. Do we roll 4 dice and pick the middle two?

17-03-2008, 07:15
magic item is stronger than lizardmen rule, therefore it comes 'first'. if you quoted the wording correct then it is the following:

you take 3 dices as normal, you add one

then (as the magic item comes first) you take away the lowest and then use the lowest two remaining dices.

to sum up: you take the middle two.

17-03-2008, 07:48
Roll 4 dice and discard the highest and the lowest dice.
That I think is the best idea.

17-03-2008, 08:12
Or you could just roll 2 dice, discarding none.

17-03-2008, 09:53
But rolling 2 dice and discarding none is statistically VERY different than rolling 4 and subtracting the highest and lowest.

The 2 dice option would create the normal deviation curve for the continuum of probabilities, while the 4 dice-discard option would be much more centered around the average, as you're removing the outliers. Without running the numbers, I'd say that the procedure of rolling 4 dice and discarding the highest and lowest would be 3 to 4 times more likely to get a result of 7, and 3 to 4 times less likely to get insane courage or boxcars than compared to simply rolling 2 dice.

There is nothing in the Screaming banner that says how many dice to roll, just to roll one more than normal. Lizardmen normally roll 3 and one more than 3 is four. The Lizardmen ability has them discard the highest, so do so. The Banner has them discard the lowest so do so. End result: Rolling 4 dice, discarding the highest and lowest.

17-03-2008, 11:24
Attached is a histogram showing the two probability distributions.

Most likely to be interesting in this situation is that the chance of "Insane Courage" (required when beaten by outnumbering-fear-causers) is nearly halved.

17-03-2008, 13:20
Although that's a break test, not a Fear test, so it would never be an issue from the Screaming Banner. Nice chart though, thanks.