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Who has the advantage?

Postby mrjanthomas on Tue Mar 11, 2008 7:19 pm

Hi, I was wondering who actually has the advantage, the attacker or the defender?

I´m sure some of you guys has calculated it :)
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Postby oggiss on Tue Mar 11, 2008 7:21 pm

of course the attacker.
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Postby KoE_Sirius on Tue Mar 11, 2008 7:24 pm

The attacker has,because he rolls with 3 dice.Unless the attacker attacks you with less then 4 men.He is then rolling with 2 dice so then you have the advantage.
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Postby mrjanthomas on Tue Mar 11, 2008 7:29 pm

Yes the attacker has 3 dices but with even numbers the defender wins, I was wondering how much that evens it out?

Anyone has a mathematical explernation?
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Postby KoE_Sirius on Tue Mar 11, 2008 7:31 pm

Hasbro claims
Attacker: one die; Defender: one die:

Attacker wins 15 out of 36 (41.67 %)
Defender wins 21 out of 36 (58.33 %)


Attacker: two dice; Defender: one die:

Attacker wins 125 out of 216 (57.87 %)
Defender wins 91 out of 216 (42.13 %)


Attacker: three dice; Defender: one die:

Attacker wins 855 out of 1296 (65.97 %)
Defender wins 441 out of 1296 (34.03 %)
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Postby mrjanthomas on Tue Mar 11, 2008 7:42 pm

Nice stats, but the most interesting is missing -->3 vs. 2 dice
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Postby KoE_Sirius on Tue Mar 11, 2008 7:48 pm

The attacker has a 22.76% of winning for 2v2 dice.
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Postby MeDeFe on Wed Mar 12, 2008 4:30 am

mrjanthomas wrote:Nice stats, but the most interesting is missing -->3 vs. 2 dice

Complete stats on 1vs2 and 2vs2 are missing as well. There's a chance that both will lose one.
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Postby detlef on Wed Mar 12, 2008 8:12 am

mrjanthomas wrote:Nice stats, but the most interesting is missing -->3 vs. 2 dice
Gee, guess what I did?

I googled "odds of risk" and got like 5 different webpages what illustrated them. Who'd a thunk it?

Tell you what, here's one...

http://www.dandrake.com/risk.html
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Postby oggiss on Wed Mar 12, 2008 12:44 pm

detlef wrote:
mrjanthomas wrote:Nice stats, but the most interesting is missing -->3 vs. 2 dice
Gee, guess what I did?

I googled "odds of risk" and got like 5 different webpages what illustrated them. Who'd a thunk it?

Tell you what, here's one...

http://www.dandrake.com/risk.html


That's a cool link :D
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Postby lord voldemort on Wed Mar 12, 2008 12:48 pm

mrjanthomas wrote:Nice stats, but the most interesting is missing -->3 vs. 2 dice


question is why attack 3v2??
thats wat you should be worrying about
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Postby detlef on Wed Mar 12, 2008 2:21 pm

lord voldemort wrote:
mrjanthomas wrote:Nice stats, but the most interesting is missing -->3 vs. 2 dice


question is why attack 3v2??
thats wat you should be worrying about
3 dice v 2 dice, I do it all the time.
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Postby yeti_c on Wed Mar 12, 2008 2:25 pm

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Postby OpaqueJack on Wed Mar 12, 2008 3:46 pm

Attacker: three dice; Defender: two dice:

Attacker wins both: 2890 out of 7776 (37.17 %)
Defender wins both: 2275 out of 7776 (29.26 %)
Both win one: 2611 out of 7776 (33.58 %)

according to some guy with a blog: http://www.plainsboro.com/~lemke/risk/

That is also the location where previous stats in the third (?) post came from.

So, it`s not from hasbro...
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