I'm certain that you, Veeky Forums, of all people are capable of solving this simple problem.
Which sword has the highest Damage Per Second?
I'm certain that you, Veeky Forums, of all people are capable of solving this simple problem.
Which sword has the highest Damage Per Second?
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Depends.
They have the same of course. Which is more useful depends on the game you're playing.
...
>Str
>Dex
>Crit
>Enchants
># of dildos in inventory
I would go with 40% / second simply because 10% chance of hitting per attack is independent to each attack.
Essentially:
A) 40% chance per attack => 40% chance of hitting per second
B) 10% chance per attack => (0.1)^4 => 1x10^-4 chance of hitting in a row in a second.
Each attack in this scenario is independent to the next. Attack 1 is 10%, Attack 2 is 10%, Attack 3 is 10%, Attack 4 is 10%. This does not increase your chance of hitting as 10% is still 10% independent to the number of attacks per second. In fact, your chance of even hitting two attacks in a row with 10% is 1%.
Assuming equivalent damage per attack...
.9^4 = 65.61% chance you'll miss each second for attacks
.6^1 = 60.00% chance you'll miss each second for attacks
Now if we go further out to 2 seconds...
.9^8 = 43.05% chance of missing for two seconds
.6^2 = 36.00% chance of missing for two seconds
Since the function is described as 1-p^n, where p=chance to miss, and n is the number of seconds, you can calculate the probability of attacks for integer values of seconds. We can take this a step further and make the slow sword remain 1-p^n and the second 1-(p/4)^4n. The comparison of these functions would involve more math than I feel like fucking with right now, because I don't like dealing with series.
what if it's pseudo rng :^)
The nice thing about the 4-attack sword is that it actually behaves more consistently. For one second of attacks, the standard deviation of the number of hits is about .49 which is lower than the .60 of the one/second sword.
On the other hand maybe you have faith in your luck and don't want consistency.
Red is better because you will almost always have a higher chance of killing your enemy within some amount of time. So red will more often save you from dying than blue.