You can do it too! A simple experiment with the dice
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You can do it too! A simple experiment with the dice
hey!
Now, ANYONE can analysis the dice. All you need is an ability to count and look at numbers.
We'll start with a simple case.
When you attack 3 dice vs 1 (i.e. when you have 4 or more troops attacking 1 single troop), you should expect to win 66% of the time (don't ask me how i got this lol). That means that you should win 2 territories for every troop that you lose. For example, WIN WIN - LOSE. LOSE WIN WIN. WIN LOSE WIN. WIN WIN WIN WIN WIN WIN LOSE LOSE LOSE
Keep track of your wins versus your loses. Divide the number of wins versus loses.
e.g. 100 wins and 70 loses. 100/70 = 1.43
Since 1.43 is significantly lower than 2.00 (your expected value), the dice are skewed for defense.
e.g. 100 wins and 30 loses. 100/30 = 3.33
Since 3.33 is significantly higher than 2.00, the dice are skewed for offense.
have fun!
Now, ANYONE can analysis the dice. All you need is an ability to count and look at numbers.
We'll start with a simple case.
When you attack 3 dice vs 1 (i.e. when you have 4 or more troops attacking 1 single troop), you should expect to win 66% of the time (don't ask me how i got this lol). That means that you should win 2 territories for every troop that you lose. For example, WIN WIN - LOSE. LOSE WIN WIN. WIN LOSE WIN. WIN WIN WIN WIN WIN WIN LOSE LOSE LOSE
Keep track of your wins versus your loses. Divide the number of wins versus loses.
e.g. 100 wins and 70 loses. 100/70 = 1.43
Since 1.43 is significantly lower than 2.00 (your expected value), the dice are skewed for defense.
e.g. 100 wins and 30 loses. 100/30 = 3.33
Since 3.33 is significantly higher than 2.00, the dice are skewed for offense.
have fun!
- joeyjordison
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- areyouincahoots
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- wcaclimbing
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Pedronicus
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I have analysed my attacking dice and I didn't need to count or write anything down.
i killed a player and took 5 cards off him, gave in 2 sets of three and put on 35 & 40 armies. the last player had 1 bit on approx 30-34 teritorries.
normally, this would be a breeze, but I threw utter shit every attack and only scraped through.
So - if you want to win.. make sure you have at least 3x the defending armies and keep your fingers crossed
i killed a player and took 5 cards off him, gave in 2 sets of three and put on 35 & 40 armies. the last player had 1 bit on approx 30-34 teritorries.
normally, this would be a breeze, but I threw utter shit every attack and only scraped through.
So - if you want to win.. make sure you have at least 3x the defending armies and keep your fingers crossed
Pedronicus wrote:I have analysed my attacking dice and I didn't need to count or write anything down.
i killed a player and took 5 cards off him, gave in 2 sets of three and put on 35 & 40 armies. the last player had 1 bit on approx 30-34 teritorries.
normally, this would be a breeze, but I threw utter shit every attack and only scraped through.
This is why I started the luck analyzer, becuase it seems like the luck is in favour of the defender too much. Lets do the math...
You have 75 armies and are trying to take out 1 army on 33 territories.
You should lose 1 army every 3 throws of the dice, which means you should lose approx 11 armies when taking out 33 armies. Plus you need to leave 1 Behind on each country.
So 75 - 11 - 33 = 31 armies. But then you still need to take a turn on the 11 which you lost meaning that you should lose another 4 shakes approx = 27. Then of those four, you lose 1 again. SO your down to 26.
So you should roughly be left with 26. Although it can be done more accurately by a statistician.
Luck analyzer will be available as an add-on soon, which will show you dice distribution, battle outcomes (compared to what the average is) and a luck score.
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Pedronicus
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lord vetinari
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Re: You can do it too! A simple experiment with the dice
Pilate wrote:When you attack 3 dice vs 1 (i.e. when you have 4 or more troops attacking 1 single troop), you should expect to win 66% of the time (don't ask me how i got this lol). e.g. 100 wins and 30 loses. 100/30 = 3.33
don't call my a stupid know-it-all, but is the winning percentage not 72,6%?
makes no difference? oh yes, it makes!!
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lord vetinari
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- reverend_kyle
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Pedronicus
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A sample of results
Game 36456
Attacker rolls 2 5 2 Defender rolls 2 2
Attacker rolls 1 1 Defender rolls 5 6
Attacker rolls 3 3 3 Defender rolls 4 1
Attacker rolls 3 3 6 Defender rolls 1 3
Attacker rolls 6 2 1 Defender rolls 3
Attacker rolls 3 6 5 Defender rolls 1 5
Attacker rolls 2 3 1 Defender rolls 4 6
Attacker rolls 4 6 4 Defender rolls 4 2
Attacker rolls 5 6 3 Defender rolls 1
Attacker rolls 3 6 2 Defender rolls 6 1
Attacker rolls 6 6 2 Defender rolls 5 5
Attacker rolls 5 6 5 Defender rolls 6 2
Attacker rolls 3 1 5 Defender rolls 4 3
Attacker rolls 2 2 1 Defender rolls 5 5
Attacker rolls 5 2 4 Defender rolls 6 3
Attacker rolls 1 3 2 Defender rolls 5 6
Attacker rolls 4 2 5 Defender rolls 6 3
Attacker rolls 4 5 2 Defender rolls 6 6
Attacker rolls 1 5 3 Defender rolls 3 4
Attacker rolls 5 6 6 Defender rolls 4
Attacker rolls 3 6 6 Defender rolls 4
Attacker rolls 2 5 1 Defender rolls 4 5
Attacker rolls 3 4 5 Defender rolls 3 6
Attacker rolls 2 1 3 Defender rolls 5 1
Attacker rolls 1 2 4 Defender rolls 1 3
Attacker rolls 3 4 4 Defender rolls 4 3
Attacker rolls 3 3 5 Defender rolls 4 3
Attacker rolls 5 4 3 Defender rolls 2 4
Attacker rolls 4 6 5 Defender rolls 5 3
Attacker rolls 6 3 3 Defender rolls 1 3
Attacker rolls 3 1 4 Defender rolls 3 4
Attacker rolls 6 2 3 Defender rolls 2 6
Attacker rolls 2 3 1 Defender rolls 5 3
Attacker rolls 2 2 6 Defender rolls 3 3
Attacker rolls 3 5 Defender rolls 5
Attacker rolls 3 Defender rolls 5
Attacker rolls 1 3 6 Defender rolls 2
Attacker rolls 1 3 1 Defender rolls 2 6
Attacker rolls 6 4 3 Defender rolls 5 2
Attacker rolls 5 5 1 Defender rolls 4 5
Attacker rolls 2 6 6 Defender rolls 4 2
Attacker rolls 1 6 5 Defender rolls 2
Attacker rolls 6 3 6 Defender rolls 5
Attacker rolls 2 5 6 Defender rolls 4
Attacker rolls 2 4 6 Defender rolls 4
Attacker rolls 3 4 6 Defender rolls 3 5
Attacker rolls 2 1 4 Defender rolls 4 3
Attacker rolls 5 4 3 Defender rolls 6 1
Attacker rolls 4 2 6 Defender rolls 1 3
Attacker rolls 3 1 4 Defender rolls 2 5
Attacker rolls 4 2 1 Defender rolls 5 3
Attacker rolls 2 2 1 Defender rolls 4 1
Attacker rolls 3 5 3 Defender rolls 3 1
Attacker rolls 4 2 4 Defender rolls 2 4
Attacker rolls 6 5 3 Defender rolls 5 1
Attacker rolls 1 3 6 Defender rolls 6
Attacker rolls 5 1 1 Defender rolls 2
Attacker rolls 1 2 6 Defender rolls 4 6
Attacker rolls 1 1 1 Defender rolls 4 1
Attacker rolls 2 5 2 Defender rolls 2 2
Attacker rolls 1 1 Defender rolls 5 6
Attacker rolls 3 3 3 Defender rolls 4 1
Attacker rolls 3 3 6 Defender rolls 1 3
Attacker rolls 6 2 1 Defender rolls 3
Attacker rolls 3 6 5 Defender rolls 1 5
Attacker rolls 2 3 1 Defender rolls 4 6
Attacker rolls 4 6 4 Defender rolls 4 2
Attacker rolls 5 6 3 Defender rolls 1
Attacker rolls 3 6 2 Defender rolls 6 1
Attacker rolls 6 6 2 Defender rolls 5 5
Attacker rolls 5 6 5 Defender rolls 6 2
Attacker rolls 3 1 5 Defender rolls 4 3
Attacker rolls 2 2 1 Defender rolls 5 5
Attacker rolls 5 2 4 Defender rolls 6 3
Attacker rolls 1 3 2 Defender rolls 5 6
Attacker rolls 4 2 5 Defender rolls 6 3
Attacker rolls 4 5 2 Defender rolls 6 6
Attacker rolls 1 5 3 Defender rolls 3 4
Attacker rolls 5 6 6 Defender rolls 4
Attacker rolls 3 6 6 Defender rolls 4
Attacker rolls 2 5 1 Defender rolls 4 5
Attacker rolls 3 4 5 Defender rolls 3 6
Attacker rolls 2 1 3 Defender rolls 5 1
Attacker rolls 1 2 4 Defender rolls 1 3
Attacker rolls 3 4 4 Defender rolls 4 3
Attacker rolls 3 3 5 Defender rolls 4 3
Attacker rolls 5 4 3 Defender rolls 2 4
Attacker rolls 4 6 5 Defender rolls 5 3
Attacker rolls 6 3 3 Defender rolls 1 3
Attacker rolls 3 1 4 Defender rolls 3 4
Attacker rolls 6 2 3 Defender rolls 2 6
Attacker rolls 2 3 1 Defender rolls 5 3
Attacker rolls 2 2 6 Defender rolls 3 3
Attacker rolls 3 5 Defender rolls 5
Attacker rolls 3 Defender rolls 5
Attacker rolls 1 3 6 Defender rolls 2
Attacker rolls 1 3 1 Defender rolls 2 6
Attacker rolls 6 4 3 Defender rolls 5 2
Attacker rolls 5 5 1 Defender rolls 4 5
Attacker rolls 2 6 6 Defender rolls 4 2
Attacker rolls 1 6 5 Defender rolls 2
Attacker rolls 6 3 6 Defender rolls 5
Attacker rolls 2 5 6 Defender rolls 4
Attacker rolls 2 4 6 Defender rolls 4
Attacker rolls 3 4 6 Defender rolls 3 5
Attacker rolls 2 1 4 Defender rolls 4 3
Attacker rolls 5 4 3 Defender rolls 6 1
Attacker rolls 4 2 6 Defender rolls 1 3
Attacker rolls 3 1 4 Defender rolls 2 5
Attacker rolls 4 2 1 Defender rolls 5 3
Attacker rolls 2 2 1 Defender rolls 4 1
Attacker rolls 3 5 3 Defender rolls 3 1
Attacker rolls 4 2 4 Defender rolls 2 4
Attacker rolls 6 5 3 Defender rolls 5 1
Attacker rolls 1 3 6 Defender rolls 6
Attacker rolls 5 1 1 Defender rolls 2
Attacker rolls 1 2 6 Defender rolls 4 6
Attacker rolls 1 1 1 Defender rolls 4 1
- sully800
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reverend_kyle wrote:if your tied no matter what it is defenders advantage because the odds of 2-0 0-2 and 1-1 are all the same in 2 of those scenarios defender wins becuase if they are equalizing all the total armies it brings it closer to 3 v 3 etc...
No, the odds are not the same for attacker winning/defender winning/tie when its 3vs2 dice.
Its 37% chance that the attacker wins
29% that the defender wins
and 34% that its a tie.
So the more men each country has when they are equal (ie 15v15 instead of 10v10) the better the odds are that the attacker will win.
