Re: Randomity and low rolls

From: Timothy Byrd <timbyrd_at_...>
Date: Wed, 31 May 2000 14:53:49 -0700

Well, I went and hacked a little program to go through and figure out the results. I can post the C code if anyone likes.

Looking closely, I'm not sure I understand the conditions for the cancelled masteries special case. So I just assumed that if neither side has a mastery or they don't have the same number of masteries, then both sides rolling a failure, means marginal defeat for both. Otherwise (i.e. both have masteries and both have the same number of masteries) then low roll gets a marginal victory and tied rolls are no effect. Is this correct? It means the rule only applies if both sides have exactly one mastery and both roll a fumble, which implies a no effect, so why bother? When does the mastery special rule really apply?

Anyway, given the assumption above here are the results I got for 15 vs. 5:

Actor skill = 15, opp skill = 5

  4 No Effect
  1 Both Complete Defeat
 56 Both Marginal Defeat
  1 Narrator Call
  1 Actor Complete Victory
 28 Actor Major Victory
204 Actor Minor Victory
  6 Actor Marginal Victory
  1 Opp Complete Victory
  8 Opp Major Victory
 44 Opp Minor Victory
 46 Opp Marginal Victory

The actor wins in (1+28+204+6) = 239 cases = 59.75% The opp wins in (1+8+44+46) = 99 cases = 24.75% They tie in (4+1+56+1) = 62 cases = 15.50%

If you change the marginal rolls rule to be high roll wins, then the 15 vs. 5 case changes to:

The actor wins in (1+28+204+46) = 279 cases = 69.75% The opp wins in (1+8+44+6) = 59 cases = 14.75% They tie in (4+1+56+1) = 62 cases = 15.50%

And here is for 5W vs. 5:

Actor skill = 25, opp skill = 5

  0 No Effect
  0 Both Complete Defeat
 14 Both Marginal Defeat
  5 Narrator Call
  5 Actor Complete Victory
 84 Actor Major Victory
217 Actor Minor Victory
  0 Actor Marginal Victory
  0 Opp Complete Victory
  1 Opp Major Victory
 18 Opp Minor Victory
 56 Opp Marginal Victory

The actor wins in (5+84+217+0) = 306 cases = 76.50% The opp wins in (0+1+18+56) = 75 cases = 18.75% They tie in (0+0+14+5) = 19 cases = 4.75%

If you change the marginal rolls rule to be high roll wins, then the 5W vs. 5 case changes to:

The actor wins in (5+84+217+56) = 362 cases = 90.50% The opp wins in (0+1+18+0) = 19 cases = 4.75% They tie in (0+0+14+5) = 19 cases = 4.75%

Powered by hypermail