I believe it's lowest successful roll wins. (I'm going off HQ1 here BTW - did this change with HQ2?)
>
> Wrong
> Looking at each possible dice roll result
> Player A has skill 10, Player B has skill 15. IIRC highest succesful dice
> roll wins
> Player A roll
> 20 Player B succeeds 15 of 20 both fail 5 in 20
> 19 Player B succeeds 15 of 20 both fail 5 in 20
> 18 Player B succeeds 15 of 20 both fail 5 in 20
> 17 Player B succeeds 15 of 20 both fail 5 in 20
> 16 Player B succeeds 15 of 20 both fail 5 in 20
> 15 Player B succeeds 15 of 20 both fail 5 in 20
> 14 Player B succeeds 15 of 20 both fail 5 in 20
> 13 Player B succeeds 15 of 20 both fail 5 in 20
> 12 Player B succeeds 15 of 20 both fail 5 in 20
> 11 Player B succeeds 15 of 20 both fail 5 in 20
> 10 Player B wins 5 in 20 Player A wins 14 in 20 Tie 1 in 20
> 9 Player B Wins 6 in 20 Player A wins 13 in 20 Tie 1 in 20
> 8 Player B Wins 7 in 20 Player A wins 12 in 20 Tie 1 in 20
> 7 Player B Wins 8 in 20 Player A wins 11 in 20 Tie 1 in 20
> 6 Player B Wins 9 in 20 Player A wins 10 in 20 Tie 1 in 20
> 5 Player B Wins 10 in 20 Player A wins 9 in 20 Tie 1 in 20
> 4 Player B Wins 11 in 20 Player A wins 8 in 20 Tie 1 in 20
> 3 Player B Wins 12 in 20 Player A wins 7 in 20 Tie 1 in 20
> 2 Player B Wins 13 in 20 Player A wins 6 in 20 Tie 1 in 20
> 1 Player B Wins 14 in 20 Player A wins 5 in 20 Tie 1 in 20
> PLayer B wins 245 out of 400
> Player A wins 95 out of 400
> Tie 10 in 400
> Both fail 50 in 400
> 2009/11/5 soviet1337 <markhumphreys_at_...>
>
> >
> >
> >
> >
> > I believe it makes very little difference - about 3%.
> >
> > There are 400 possible results in d20 vs d20 (20 x 20). Let's say player A
> > is rated 15 and player B is rated 10. These are the only possible
> > combinations where the difference matters:
> >
> > A rolls 11, B rolls 11
> > A rolls 12, B rolls 11
> > A rolls 12, B rolls 12
> > A rolls 13, B rolls 11
> > A rolls 13, B rolls 12
> > A rolls 13, B rolls 13
> > A rolls 14, B rolls 11
> > A rolls 14, B rolls 12
> > A rolls 14, B rolls 13
> > A rolls 14, B rolls 14
> > A rolls 15, B rolls 11
> > A rolls 15, B rolls 12
> > A rolls 15, B rolls 13
> > A rolls 15, B rolls 14
> > A rolls 15, B rolls 15
> >
> > That's 15 possibilities out of 400, or about 3%. Shocking, I know, but
> > that's how the maths works. 97% of the time the difference between 15 and 10
> > is irrelevant.
> >
> > --- In HeroQuest-rules_at_yahoogroups.com <HeroQuest-rules%40yahoogroups.com>,
> > "DanWater" <danwater_at_> wrote:
> > >
> > > Hi all,
> > >
> > > Can anyone tell me the odds of a 15 ability beating a 10 ability. All
> > else is equal and no masteries are involved.
> > >
> > > Thanks in advance.
> > >
> > > BTW, I'm pretty sure the 15 ability is not 25% better than the 10 ability
> > but outside that I'm lost as to how much better the 15 ability is.
> > >
> >
> >
> >
>
>
>
> --
> "Any Sufficiently analysed magic is indistinguishable from Science"
> Agatha, Girl Genius
> http://www.girlgeniusonline.com/comic.php?date=20081205
>
>
> [Non-text portions of this message have been removed]
>