Armour counting

[chegewara]

Team 1   Team 2
Name : przemek251
Level : 15
Class : Warrior
Damage(MIN) : 52.9125
Damage(MAX) : 60.2775
Range : 0
Critical Chance : 2%
Block percentage : 0%
Armor : 183
Items' Agility Modifyer: -30%
Items' Dextirity Modifyer: -30%


   Name : Brown bear
Level : 16
Class : None
Damage(MIN) : 11.9049
Damage(MAX) : 17.8573
Range : 0
Critical Chance : 1%
Block percentage : 0%
Armor : 94
Items' Agility Modifyer: %
Items' Dextirity Modifyer: %


Name : Brown bear
Level : 16
Class : None
Damage(MIN) : 11.9049
Damage(MAX) : 17.8573
Range : 0
Critical Chance : 1%
Block percentage : 0%
Armor : 94
Items' Agility Modifyer: %
Items' Dextirity Modifyer: %


Name : Brown bear
Level : 16
Class : None
Damage(MIN) : 11.9049
Damage(MAX) : 17.8573
Range : 0
Critical Chance : 1%
Block percentage : 0%
Armor : 94
Items' Agility Modifyer: %
Items' Dextirity Modifyer: %


Round 1

Team 1 takes turn
przemek251 doesn't have an opponent, therefore he chooses Brown bear. Level difference modifyer is 1
Atacker's stance adds 14.002166666667 to 70.010833333333 damage
przemek251 hits Brown bear for 84.013 and he is left with 288.99 health.Monster kills bonus adds 0% to damage.
A charge attack was performed.

Team 2 takes turn
Brown bear doesn't have an opponent, therefore he chooses przemek251. Level difference modifyer is 1
Brown bear 79/74.9 hit evaded.
Brown bear doesn't have an opponent, therefore he chooses przemek251. Level difference modifyer is 1
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 1007.71 health.
Brown bear doesn't have an opponent, therefore he chooses przemek251. Level difference modifyer is 1
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 993.43 health.
Round 2

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage - should be 55,5775
przemek251 hits Brown bear for 64.813 and he is left with 224.17 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 979.14 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 964.86 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 950.57 health.
Round 3

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with 159.36 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 936.28 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 922 health.
Brown bear 98/74.9 hit evaded.
Round 4

Team 1 takes turn
przemek251 87/78.6 hit evaded.

Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 907.71 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 893.43 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 879.14 health.
Round 5

Team 1 takes turn
przemek251 79/78.6 hit evaded.

Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 864.86 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 850.57 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 836.28 health.
Round 6

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with 94.55 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 822 health.
Brown bear 97/74.9 hit evaded.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 807.71 health.
Round 7

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with 29.74 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 793.43 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 779.14 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 764.85 health.
Round 8

Team 1 takes turn
przemek251 85/78.6 hit evaded.

Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 750.57 health.
Brown bear 92/74.9 hit evaded.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 736.28 health.
Round 9

Team 1 takes turn
przemek251 84/78.6 hit evaded.

Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 722 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 707.71 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 693.42 health.
Round 10

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with -35.08 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 679.14 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 664.85 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 650.57 health.
Brown bear has been defeated!

Round 11

Team 1 takes turn
przemek251 doesn't have an opponent, therefore he chooses Brown bear. Level difference modifyer is 1
przemek251 90/78.6 hit evaded.

Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 636.28 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 622 health.
Round 12

Team 1 takes turn
przemek251 95/78.6 hit evaded.

Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 607.71 health.
Defender's stance adds 8.27438 to 41.3719 damage
Brown bear hits przemek251 for 49.64628 and he is left with 558.06 health.A critical hit is performed 1/1!

Round 13

Team 1 takes turn
przemek251 98/78.6 hit evaded.

Team 2 takes turn
Brown bear 90/74.9 hit evaded.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 543.78 health.
Round 14

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with 308.19 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 529.49 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 515.21 health.
Round 15

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with 243.37 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 500.92 health.
Brown bear 75/74.9 hit evaded.
Round 16

Team 1 takes turn
przemek251 90/78.6 hit evaded.

Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 486.63 health.
Brown bear 88/74.9 hit evaded.
Round 17

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with 178.56 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Brown bear 82/74.9 hit evaded.
Brown bear 84/74.9 hit evaded.
Round 18

Team 1 takes turn
przemek251 99/78.6 hit evaded.

Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 472.35 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 458.06 health.
Round 19

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with 113.75 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Brown bear 78/74.9 hit evaded.
Brown bear 81/74.9 hit evaded.
Round 20

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with 48.94 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Brown bear 98/74.9 hit evaded.
Brown bear 83/74.9 hit evaded.
Round 21

Team 1 takes turn
przemek251 80/78.6 hit evaded.

Team 2 takes turn
Brown bear 81/74.9 hit evaded.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 443.78 health.
Round 22

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with -15.88 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 429.49 health.
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 415.2 health.
Brown bear has been defeated!

Round 23

Team 1 takes turn
przemek251 doesn't have an opponent, therefore he chooses Brown bear. Level difference modifyer is 1
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with 308.19 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 400.92 health.
Round 24

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with 243.37 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Defender's stance adds 8.27438 to 41.3719 damage
Brown bear hits przemek251 for 49.64628 and he is left with 351.27 health.A critical hit is performed 1/1!

Round 25

Team 1 takes turn
przemek251 98/78.6 hit evaded.

Team 2 takes turn
Brown bear 96/74.9 hit evaded.
Round 26

Team 1 takes turn
przemek251 95/78.6 hit evaded.

Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 336.99 health.
Round 27

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with 178.56 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 322.7 health.
Round 28

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with 113.75 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Defender's stance adds 8.27438 to 41.3719 damage
Brown bear hits przemek251 for 49.64628 and he is left with 273.05 health.A critical hit is performed 1/1!

Round 29

Team 1 takes turn
przemek251 89/78.6 hit evaded.

Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 258.77 health.
Round 30

Team 1 takes turn
przemek251 89/78.6 hit evaded.

Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 244.48 health.
Round 31

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with 48.94 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 230.2 health.
Round 32

Team 1 takes turn
Atacker's stance adds 10.802166666667 to 54.010833333333 damage
przemek251 hits Brown bear for 64.813 and he is left with -15.88 health.Monster kills bonus adds 0% to damage.


Team 2 takes turn
Defender's stance adds 2.38098 to 11.9049 damage
Brown bear hits przemek251 for 14.28588 and he is left with 215.91 health.
Brown bear has been defeated!



Team 1 is victorious!
przemek251 battle statistics:
Successful/Attacks : 18/32
Damage Done : 1185.834
Critical hits done : 0
Brown bear battle statistics:
Successful/Attacks : 9/10
Damage Done : 128.57292
Critical hits done : 0
Brown bear battle statistics:
Successful/Attacks : 15/22
Damage Done : 214.2882
Critical hits done : 0
Brown bear battle statistics:
Successful/Attacks : 25/32
Damage Done : 463.2282
Critical hits done : 3

Battle generation time: 0.062999 seconds.

EXP added : 192(+2) to przemek251
GOLD added : 57 to przemek251

and 3 critical hits per 32 attacks is about 9-10% and bear had only 1% chance to critical hit

[radooo]

and 3 critical hits per 32 attacks is about 9-10% and bear had only 1% chance to critical hit

You met some lucky bears And they were 3 so it should be 3% chance to critical

[Polymeron]

You met some lucky bears And they were 3 so it should be 3% chance to critical

More accurately, it's 1% but for 49 attacks. The chance for 3 or more critical hits is 1.31% - so they were pretty lucky, a one-in-eighty battle more or less, but not unbelievably so.

Would still be interesting understanding how armor, strength etc. work in this example, though.

[chegewara]

for me 3 per 32 is 1 per ~11 which is about 9%

[Polymeron]

That's because you're ignoring two things:

1. You're not counting the other two bears. Once you have 3 criticals among 3 bears, there are fairly good odds (37.5%) that it would be one of them doing all 3 criticals. Higher in fact, considering that not all the bears survive the entirety of the combat, making one of them comprise more of the attacks.

2. Nobody is promising your precisely 1% of attacks in any given battle would be critical - you could have 1, 2, 3, none - that's why it's a chance and not a ratio. Make a Bernoulli distribution analysis for 49 attacks at 1%. You'll get that the chance for 3 or better is 1.31%.

Careful, I'm armed with Excel and I'm not afraid to use it 

[chegewara]

yes, i ignore 2 bears cause this hits made one bear. i know random numbers counting but if would be counted like you said then should be 2-2,5x more critical hits from all bears cause each have 1% chance which mean is 3% overall not 1,31% like you count

[Polymeron]

By your logic, fighting 100 bears would mean 100% of attacks are critical hits. Check your assumptions...

Don't count bears, count attacks. For purposes of this statistical analysis, all successful attacks are equal - from all bears. So you're left with 49 successful attacks, 1% for critical with each of them. Do you need me to explain how I got at 1.31%, or can you make it from there?

[chegewara]

i dont understand yours logic cause all 3 bears made 64 attacks but only 49 hits me. and who told you critical hits are counted from properly attacks and not from miss hits? we dont know mechanics and we only can guess or ask
and still dont understand yours counting. 3/49*100%=~6%

[Polymeron]

i dont understand yours logic cause all 3 bears made 64 attacks but only 49 hits me. and who told you critical hits are counted from properly attacks and not from miss hits? we dont know mechanics and we only can guess or ask

It's possible that critical hits bypass both evasion and block, or maybe just one of them. And indeed, we can only ask. This would, of course, make your case even more plausible; for 64 attacks at 1% critical, 3 or better would have a chance of 2.65%, or one-in-forty 

and still dont understand yours counting. 3/49*100%=~6%

That's right, it's close to 6% - but what are the chances of that? Here's the breakdown.

Each attack has a 99% chance of not being a critical hit. For 0 criticals, all attacks need to be in that category. Thus, the chance for 0 criticals is 0.99^49=61.11%.

For 1 critical, we expect a chance of 0.01*0.99^48 - 1 critical and 48 non-crits - but since the one critical can be any of the 49, there are 49 equal options, which means the chance for one critical in the entire battle is 49*0.01*0.99^48=30.25%.

For 2 criticals, the same logic applies. 0.01^2*0.99^47, this time with 49*48/2 possible arrangements for the criticals (one can be any of 49, then it's one of the remaining 48, then divide by 2 to nullify the fact that we counted each possible combination twice). 49*48/2*0.01^2*0.99^47=7.33%.

So the chance for 2 criticals or less in a battle with 49 hits (assuming criticals are determined after the hit) would be 61.11%+30.25%+7.33%=98.69%. Thus, the chance for 3 or more criticals - all other outcomes - is 100%-98.69%=1.31%. Q.E.D.

This is basic combinatorial mathematics, I must have been taught this stuff at least 4 times before and I keep forgetting it...

[Xaoc]

15 armor decreases damage by 1 now(it was 20 couple of days ago...), so the damage is correct.

[chegewara]

15 armor decreases damage by 1 now(it was 20 couple of days ago...), so the damage is correct.

thank you +k