There’s a lot of discussion about the merits of using pulse lasers over beam. They certainly cause more damage, but only if they hit. So how much more damage are they likely to cause over multiple rounds?
First of all, what are the chances of 2D equalling or exceeding a particular score:
2+ (1): 36/36 = 1
3+ (2): 35/36 = 0.972
4+ (3): 33/36 = 0.917
5+ (4): 30/36 = 0.833
6+ (5): 26/36 = 0.722
7+ (6): 21/36 = 0.583
8+ (5): 15/36 = 0.417
9+ (4): 10/36 = 0.278
10+ (3): 6/36 = 0.167
11+ (2): 3/36 = 0.0833
12+ (1): 1/36 = 0.0278
Average Potential Damage
Beam laser: 1D : 3.5 pts
Double beam laser: 1D+1 : 4.5 pts
Pulse laser: 2D : 7 pts
Double pulse laser: 2D+2 : 9 pts
Assumptions
- Gunnery skill 1
- No pilot aid
- No software aid
- No dex modifier
- Ignoring effect
- Ignoring armour
- Average damage scored is chance of hitting x average potential damage
Single beam laser
Close (8-(1+4+1) = 2): 1*3.
5 = 3.5 pts
Short/medium (8-(0+4+1) = 3): 0.972*3.5 =
3.402 pts
Single pulse laser
Close (8-(1+2+1) = 4): 0.917*7 =
6.419 pts
Short/medium (8-(0+2+1) = 5): 0.833*7 =
5.831 pts
Long (8-(-2+2+1) = 7): 0.583*7 =
4.081 pts
Double beam laser
Close (8-(1+4+1) = 2): 1*4.5 =
4.5 pts
Short/medium (8-(0+4+1) = 3): 0.972*4.5 =
4.374 pts
Double pulse laser
Close (8-(1+2+1) = 4): 0.917*9 =
8.253 pts
Short/medium (8-(0+2+1) = 5): 0.833*9 =
7.497 pts
Long (8-(-2+2+1) = 7): 0.583*9 =
5.247 pts
Calculating the effect of effect on the average is complicated, but for simplicity we can assume the mode roll of 7:
Single beam laser : MCr0.7
Close (8-(1+4+1) = 2): 1*3.5+7-2 =
8.5 pts
Short/medium (8-(0+4+1) = 3): 0.972*3.5+7-3 =
7.402 pts
Single pulse laser : MCr1.2
Close (8-(1+2+1) = 4): 0.917*7+7-4 =
9.419 pts
Short/medium (8-(0+2+1) = 5): 0.833*7+7-5 =
7.831 pts
Long (8-(-2+2+1) = 7): 0.583*7+7-7 =
4.081 pts
Double beam laser : MCr1.5
Close (8-(1+4+1) = 2): 1*4.5+7-2 =
9.5 pts
Short/medium (8-(0+4+1) = 3): 0.972*4.5+7-3 =
8.374 pts
Double pulse laser : MCr2.5
Close (8-(1+2+1) = 4): 0.917*9+7-4 =
11.253 pts
Short/medium (8-(0+2+1) = 5): 0.833*9+7-5 =
9.497 pts
Long (8-(-2+2+1) = 7): 0.583*9+7-7 =
5.247 pts
Costs included in case you want to do a cost benefit analysis…
Thus a single pulse laser will typically score 0.4-0.9 point damage more than a beam laser, and a double pulse 1.1-1.8 points more than a double beam. Or keeping it simple: +1 | +2 pts.
Unless there is an error in my maths and modifiers (it’s not unknown): please feel free to point any out.
So that extra D for a pulse laser only adds about 1pt damage, but does allow long range attacks.
The average damage of a missile salvo is a lot harder to calculate, taking into account the effects of electronic warfare and point defence. A 200 ton trader can only fire a maximum of 6 missiles in a salvo. How many would get through and how much damage would, on average, be caused, may need a Monte Carlo simulation- unless someone has the probability skills to work that out…?