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Epic Perfect World
Guides
Critical Hit Rate (%)
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Critical Hit Rate (%)
mikeyjamez
Member
Characters: _Jamez_
Faction: 0FkGiven
#1
May 06, 2020, 02:58 pm
Hi All,
This is my attempt at making a contribution to the community by sharing my observations on critical hit rates (%). For all the statistics nerds; the critical hit rates follow a
binomial distribution.
This explains why people with 50% crit rate can still not do critical hits after hitting the target 5 times.
In this post I will;
Outline the likelihood (probability) of the number of critical hits at the varying crit rates after hitting a target five (5) times.
Use theoretical base damages that decreases by 25 points for every % increase in crit rate.
I will show the probability of total damage outputs after having hit a target five (5) times using the theoretical base damages.
Note that;
Five (5) hits were used to accommodate maximum number of hits per second for APS classes and it would be enough for DPH and DPS classes.
Base damages per class differs and is the reason a theoretical number is used just to simulate how the process works.
GOF critical hits were not accounted for but ought to be considered for melee classes when considering total damage dealt. I neglected this because I created the model primarily for my psychic.
The distribution of critical hits is the same for all classes.
So let's get into it.
80% Critical Hit Rate
Critical hit chance (P)
80%
# of hits (N)
5
E(X)
4
VAR(X)
0.8
Base Damage
4250
Critical hit damage
8500
# of critical hits (X)
Probability (Binomial Distribution)
Total Damage Dealt
0
0%
21,250.00
1
1%
25,500.00
2
5%
29,750.00
3
20%
34,000.00
4
41%
38,250.00
5
33%
42,500.00
70% Critical Hit Rate
Critical hit chance (P)
70%
# of hits (N)
5
E(X)
3.5
VAR(X)
1.05
Base Damage
4500
Critical hit damage
9000
# of critical hits (X)
Probability (Binomial Distribution)
Total Damage Dealt
0
0%
22,500.00
1
3%
27,000.00
2
13%
31,500.00
3
31%
36,000.00
4
36%
40,500.00
5
17%
45,000.00
60% Critical Hit Rate
Critical hit chance (P)
60%
# of hits (N)
5
E(X)
3
VAR(X)
1.2
Base Damage
4750
Critical hit damage
9500
# of critical hits (X)
Probability (Binomial Distribution)
Total Damage Dealt
0
1%
23,750.00
1
8%
28,500.00
2
23%
33,250.00
3
35%
38,000.00
4
26%
42,750.00
5
8%
47,500.00
50% Critical Hit Rate
Critical hit chance (P)
50%
# of hits (N)
5
E(X)
2.5
VAR(X)
1.25
Base Damage
5000
Critical hit damage
10000
# of critical hits (X)
Probability (Binomial Distribution)
Total Damage Dealt
0
3%
25,000.00
1
16%
30,000.00
2
31%
35,000.00
3
31%
40,000.00
4
16%
45,000.00
5
3%
50,000.00
48% Critical Hit Rate
Critical hit chance (P)
48%
# of hits (N)
5
E(X)
2.4
VAR(X)
1.248
Base Damage
5050
Critical hit damage
10100
# of critical hits (X)
Probability (Binomial Distribution)
Total Damage Dealt
0
4%
25,250.00
1
18%
30,300.00
2
32%
35,350.00
3
30%
40,400.00
4
14%
45,450.00
5
3%
50,500.00
45% Critical Hit Rate
Critical hit chance (P)
45%
# of hits (N)
5
E(X)
2.25
VAR(X)
1.2375
Base Damage
5125
Critical hit damage
10250
# of critical hits (X)
Probability (Binomial Distribution)
Total Damage Dealt
0
5%
25,625.00
1
21%
30,750.00
2
34%
35,875.00
3
28%
41,000.00
4
11%
46,125.00
5
2%
51,250.00
40% Critical Hit Rate
Critical hit chance (P)
40%
# of hits (N)
5
E(X)
2
VAR(X)
1.2
Base Damage
5250
Critical hit damage
10500
# of critical hits (X)
Probability (Binomial Distribution)
Total Damage Dealt
0
8%
26,250.00
1
26%
31,500.00
2
35%
36,750.00
3
23%
42,000.00
4
8%
47,250.00
5
1%
52,500.00
38% Critical Hit Rate
Critical hit chance (P)
38%
# of hits (N)
5
E(X)
1.9
VAR(X)
1.178
Base Damage
5300
Critical hit damage
10600
# of critical hits (X)
Probability (Binomial Distribution)
Total Damage Dealt
0
9%
26,500.00
1
28%
31,800.00
2
34%
37,100.00
3
21%
42,400.00
4
6%
47,700.00
5
1%
53,000.00
35% Critical Hit Rate
Critical hit chance (P)
35%
# of hits (N)
5
E(X)
1.75
VAR(X)
1.1375
Base Damage
5375
Critical hit damage
10750
# of critical hits (X)
Probability (Binomial Distribution)
Total Damage Dealt
0
12%
26,875.00
1
31%
32,250.00
2
34%
37,625.00
3
18%
43,000.00
4
5%
48,375.00
5
1%
53,750.00
32% Critical Hit Rate
Critical hit chance (P)
32%
# of hits (N)
5
E(X)
1.6
VAR(X)
1.088
Base Damage
5450
Critical hit damage
10900
# of critical hits (X)
Probability (Binomial Distribution)
Total Damage Dealt
0
15%
27,250.00
1
34%
32,700.00
2
32%
38,150.00
3
15%
43,600.00
4
4%
49,050.00
5
0%
54,500.00
30% Critical Hit Rate
Critical hit chance (P)
30%
# of hits (N)
5
E(X)
1.5
VAR(X)
1.05
Base Damage
5500
Critical hit damage
11000
# of critical hits (X)
Probability (Binomial Distribution)
Total Damage Dealt
0
17%
27,500.00
1
36%
33,000.00
2
31%
38,500.00
3
13%
44,000.00
4
3%
49,500.00
5
0%
55,000.00
28% Critical Hit Rate
Critical hit chance (P)
28%
# of hits (N)
5
E(X)
1.4
VAR(X)
1.008
Base Damage
5550
Critical hit damage
11100
# of critical hits (X)
Probability (Binomial Distribution)
Total Damage Dealt
0
19%
27,750.00
1
38%
33,300.00
2
29%
38,850.00
3
11%
44,400.00
4
2%
49,950.00
5
0%
55,500.00
26 % Critical Hit Rate
Critical hit chance (P)
26%
# of hits (N)
5
E(X)
1.3
VAR(X)
0.962
Base Damage
5600
Critical hit damage
11200
# of critical hits (X)
Probability (Binomial Distribution)
Total Damage Dealt
0
22%
28,000.00
1
39%
33,600.00
2
27%
39,200.00
3
10%
44,800.00
4
2%
50,400.00
5
0%
56,000.00
20% Critical Hit Rate
Critical hit chance (P)
20%
# of hits (N)
5
E(X)
1
VAR(X)
0.8
Base Damage
5750
Critical hit damage
11500
# of critical hits (X)
Probability (Binomial Distribution)
Total Damage Dealt
0
33%
28,750.00
1
41%
34,500.00
2
20%
40,250.00
3
5%
46,000.00
4
1%
51,750.00
5
0%
57,500.00
I hope this info will prove useful when trying to determine which stats to aim for. Thanks for reading.
Dare to be different ^.^
MMMMMMMMMMMMM
serious gamer
Faction: Notorious
#2
May 06, 2020, 03:31 pm
lol nerd
mikeyjamez
Member
Characters: _Jamez_
Faction: 0FkGiven
#3
May 06, 2020, 03:45 pm
Quote from:
MMMMMMMMMMMM
lol nerd
LOL! Best way to beat every1 is understanding game mechanics
Dare to be different ^.^
BumleBee
Never died in epw
Bee 🐝
Characters: Inej
#4
May 06, 2020, 04:00 pm
My iq too bad cant understand halp plz
Thx KimSiHyeon for the Siggy.
Masuta
The Adversary
Habits ♡
Characters: Masuta
Faction: Adversary • Tyrants
#5
May 06, 2020, 04:10 pm
in short crit is nice
here for the memes, there's nothing else left anyways
Аlex
Forum Veteran
Disbanded all those brokies multiple times
Characters: Hysteri
Faction: Adversary⚜Prominent
#6
May 06, 2020, 04:30 pm
Didn't read
ANUSWRECKER
Old Player
Alamat / Prominent
#7
May 06, 2020, 04:42 pm
bumpppp
mikeyjamez
Member
Characters: _Jamez_
Faction: 0FkGiven
#8
May 06, 2020, 05:06 pm
Quote from:
Masuta
in short crit is nice
Don't be naive. Balance is important and at a certain point increasing crit rate makes no sense.
Dare to be different ^.^
Saxysta
`Huntress
(✿^‿^)
Characters: Rysu
#9
May 06, 2020, 11:40 pm
nice post
Rikku
This sin hates PVP
cuz :)
Characters: Yuffie
#10
May 07, 2020, 12:40 am
this does not account for class balancing,
which isn't public data.
Buffy
Member
Characters: BuffyKing, ENTITY, NoPainNoGame
Faction: LOVE Leader
#11
May 07, 2020, 05:35 am
Great post. I don't think it's appreciated enough ;--;
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Epic Perfect World
Guides
Critical Hit Rate (%)