A Dice Simulator

@bigchris:

@gnasape:

Thanks bigchris, what if we assume that the dice rolls of the attacker and defenders are two separate events?

16 rolls for attacker, 7 rolls for defender.

sure, that’s fine.  as long as you are separating the rolls based on some arbitrary labeling and not based on their values, you can test any group/sub-group you like.

Ho: the dice are uniformly distributed
Ha: the dice are not uniformly distributed

Attacker: 6,5,6,5,4,6,5,6,6,4,3,5,4,6,3,6
histogram for entire sequence (16 rolls total)
6s: 6666666
5s: 5555
4s: 444
3s: 33
2s:
1s:

pearson chi-square test:
with 16 rolls, we expect 16/6=2.67 rolls in each bin according to Ho.
(7 - 2.67)^2 / 2.67 +
(4 - 2.67)^2 / 2.67 +
(3 - 2.67)^2 / 2.67 +
(2 - 2.67)^2 / 2.67 +
(0 - 2.67)^2 / 2.67 +
(0 - 2.67)^2 / 2.67 = 13.25

chi-square value = 13.25
degrees-of-freedom = 5
Probability (One-Tailed): 0.0211

that is, for the attacker, if Ho is in fact true, the probability of getting results as or more extreme than these is 0.0211.  These data are sufficient evidence (at the 5% level) to reject Ho and adopt Ha.

Defender: 2,2,1,3,4,2,1
histogram for entire sequence (7 rolls total)
6s:
5s:
4s: 4
3s: 3
2s: 222
1s: 11

pearson chi-square test:
with 7 rolls, we expect 7/6=1.17 rolls in each bin according to Ho.
(0 - 1.17)^2 / 1.17 +
(0 - 1.17)^2 / 1.17 +
(1 - 1.17)^2 / 1.17 +
(1 - 1.17)^2 / 1.17 +
(3 - 1.17)^2 / 1.17 +
(2 - 1.17)^2 / 1.17 = 5.857

chi-square value = 5.857
degrees-of-freedom = 5
Probability (One-Tailed): 0.3204

that is, for the defender, if Ho is in fact true, the probability of getting results as or more extreme than these is 0.3204.  this is insufficient evidence to reject Ho.  therefore, we do not reject Ho.

Thanks, I am basing it as usually the attacker’s dice roll is submitted first than defender.

Only one AA gun per territory can fire, no matter how many are there.

Was the paper arguing that this is true for the first round of combat, and where smart attackers know when to call it off?  I didn’t quite follow the paper since the whole Mr T thing was distracting.

Intuitively I’d guess that the size of bad luck depends mostly on force composition.  If the attacker uses planes, sure they can lose big.  If the defender has planes, they can lose big too.  Defenders can also lose really big if you take their capital (or to a lesser extent if you take WEU or SEU).

For single round combats, most of the time attackers can retreat if they see their luck going bad after the first round - and that makes a huge difference.

@Gamer:

@ncscswitch:

It would also skew the hell out of Europe.

Imagine Germany’s 6 FIGs and BOM backed up by a large stack of INF…  Throw in an ARM or seven…

Can you say “steamroll” anyone?

I prefer baked rolls.

reverse psychology doesn’t work if the dice God’s are listening.

-LT04

@frimmel:

Although when Bond rolls the double and is staring down Khan he does pick up four men.

I’ve watched that movie more than once.  :roll:

KKKKKKKKKKKKHHHHHHHHHHHHHHAAAAAAAAAAAAAANNNNNNNNNNNNNNNNNN!!!

oops, wrong movie…

Squirecam

And us old AD&D players who have more d6 than you can shake a stick at…

It has been 6 years since I last played D&D, and right now, within 30 seconds, I could lay my hands on enough D6 to designate a specific die for every single unit in battle… including each INF having its own die!  100th level fireballs :-P

Well Zooey, I have the next two games already spoken for… but I can answer your question about an online dicey (thanks to others here)

For Classic A&A:
http://aamcbunker.net/other/login.html

For Revised:
http://www.daak.de/indexe.php?sprache=e

For the Daak site, you need to sign up for free membership, then you can access their diceserver

I used the first site in my game with Darth, and the second site in my two wins against Ezto and Tri :-)

Obviously, right now I LOVE the Daak server :-D