1-2 First Strikes?

CaptainHollister

Chieftain
Joined
Jun 19, 2019
Messages
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Hi all, relatively fresh Civ IV player here. Despite having this account for five years, I'm still very much a baby at the game.

There was something I noticed with a couple of units like the Navy SEAL and Skirmisher. Specifically (like the title says), the fact that they get 1-2 First Strikes. I understand the general FS concept, but not these specific numbers. Is there a probability that they get a second Strike, or do they get two on defence, or some other crazy third option? Thanks in advance.
 
1-2 first strikes means they're guaranteed to get one, and have a chance at getting a second, on either offence or defence. What that chance is I have no idea though.
 
Spoiler :

Before battle commences, there is a RNG roll that determines how many first strike chances will be converted. A common (but wrong) assumption is that each first strike chance has a 50% probability of being converted. Here is how it actually works...

Let #FSG be the number of guaranteed first strikes and #FSC be the number of first strike chances.

Then in battle, the unit will receive #FSG + rand(0,#FSC) first strikes, or equivalently rand(#FSG, #FSG + #FSC) first strikes.

rand(0,#FSC) returns a random number from the uniform distribution (all numbers are equally probable) with lowest value 0 and highest value #FSC. You can basically imagine it as a die with the numbers from 0 up to #FSC on it.

Going back to the 4-7 first strike Drill IV longbow, it would receive:

4 first strikes (25% of the time)
5 first strikes (25% of the time)
6 first strikes (25% of the time)
7 first strikes (25% of the time)

If it were true that each first strike had 50% probability of converting independent of the other first strikes, then the above numbers would have come from what's called a binomial distribution (not the uniform distribution), and they'd have been 4(12.5%),5(37.5%),6(37.5%),7(12.5%).
I didn't know that as well :)
 
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