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"Myrmidon" <ImNot@home.com> wrote:
> The error of that theory is that it *assumes* that a Marine is
> going to inflict 1 wounding hit per turn - which is not the case. I
> understand your logic - it just isn't statistically correct.
Look at it this way (and correct me wherever I'm wrong)-
Orks have a BS of 2, so they need to roll 5's to hit - they only hit 1/3 of
the time.
They shoot S4 weapons? (not very familiar with Orks) - that wounds a Marine
1/2 the time.
Thanks to the Marine's power armor, only one 1/3 of the wounding hits
actually kill a marine.
So for each shot an Ork makes, (1/3)*(1/2)*(1/3) = (1/18) of a Marine dies.
On average, it takes 18 Orks shooting a turn to kill 1 marine.
A Marine has BS 4, so they need 3's to hit - they hit 2/3 of the time.
Again S4 vs T4 means 1/2 of the hits wound.
And Orks get no armor save against the Marine's weapons.
So for each shot a Marine makes, (2/3)*(1/2) = (2/6) = (1/3) of an Ork dies.
On average, it takes 3 Marines shooting a turn to kill 1 ork.
So, in order for the firefight to be balanced, there needs to be *6* Orks
per Marine!
Of course, this completely ignores other troops in the army, hand-to-hand,
cover saves, and lots of other stuff. So I know my logic is flawed in lots
of ways - but *statistically* - it is correct.
"Myrmidon" <ImNot@home.com> wrote:
> The error of that theory is that it *assumes* that a Marine is
> going to inflict 1 wounding hit per turn - which is not the case. I
> understand your logic - it just isn't statistically correct.
Look at it this way (and correct me wherever I'm wrong)-
Orks have a BS of 2, so they need to roll 5's to hit - they only hit 1/3 of
the time.
They shoot S4 weapons? (not very familiar with Orks) - that wounds a Marine
1/2 the time.
Thanks to the Marine's power armor, only one 1/3 of the wounding hits
actually kill a marine.
So for each shot an Ork makes, (1/3)*(1/2)*(1/3) = (1/18) of a Marine dies.
On average, it takes 18 Orks shooting a turn to kill 1 marine.
A Marine has BS 4, so they need 3's to hit - they hit 2/3 of the time.
Again S4 vs T4 means 1/2 of the hits wound.
And Orks get no armor save against the Marine's weapons.
So for each shot a Marine makes, (2/3)*(1/2) = (2/6) = (1/3) of an Ork dies.
On average, it takes 3 Marines shooting a turn to kill 1 ork.
So, in order for the firefight to be balanced, there needs to be *6* Orks
per Marine!
Of course, this completely ignores other troops in the army, hand-to-hand,
cover saves, and lots of other stuff. So I know my logic is flawed in lots
of ways - but *statistically* - it is correct.