Often when I'm making a list I have a hard time deciding how to equip gangers. I often come to the debate of Lasgun or Autogun and I never have a good answer.
So here is some math.
BS4+ vs T3 Target
Lasgun:
P(long) * P(S3) = 1/4 = 25%
P(short) * P(S3) = 1/3 = 33.3%
Hotshot-Lasgun:
P(long) * P(S4) = 1/3 = 33.3%
P(short) * P(S4) = 4/9 = 44.4%
Autogun (at least one wound):
One Shot:
P(long) * P(S3) = 1/4 = 25%
P(short) * P(S3) = 1/3 = 33.3%
Two Shots:
P(long) * [1-P(~S3)^2] = 3/8 = 37.5%
P(short) * [1-P(~S3)^2] = 1/2 = 50.0%
Three Shots:
P(long) * [1-P(~S3)^3] = 7/16 = 43.8%
P(short) * [1-P(~S3)^3] = 7/12 = 58.3%
Average (taken from shots available on the firepower dice--1, 1, 1, 2, 2, 3):
Long = 31/96 = 32.3%
Short = 31/72 = 43.1%
Summary (chance to cause at least one wound vs T3):
BS4+ vs T4 or T5 Target
Same method as above using the following probabilities:
Summary (chance to cause at least one wound vs T4 or T5):
So here is some math.
BS4+ vs T3 Target
Success | Fail (~) | |
P(short) | 2/3 | 1/3 |
P(long) | 1/2 | 1/2 |
P(S3) | 1/2 | 1/2 |
P(S4) | 2/3 | 1/3 |
Lasgun:
P(long) * P(S3) = 1/4 = 25%
P(short) * P(S3) = 1/3 = 33.3%
Hotshot-Lasgun:
P(long) * P(S4) = 1/3 = 33.3%
P(short) * P(S4) = 4/9 = 44.4%
Autogun (at least one wound):
One Shot:
P(long) * P(S3) = 1/4 = 25%
P(short) * P(S3) = 1/3 = 33.3%
Two Shots:
P(long) * [1-P(~S3)^2] = 3/8 = 37.5%
P(short) * [1-P(~S3)^2] = 1/2 = 50.0%
Three Shots:
P(long) * [1-P(~S3)^3] = 7/16 = 43.8%
P(short) * [1-P(~S3)^3] = 7/12 = 58.3%
Average (taken from shots available on the firepower dice--1, 1, 1, 2, 2, 3):
Long = 31/96 = 32.3%
Short = 31/72 = 43.1%
Summary (chance to cause at least one wound vs T3):
Long | Short | |
Lasgun | 25% | 33% |
Hotshot Lasgun | 33.3% | 44.4% |
Autogun | 32.3% | 43.1% |
BS4+ vs T4 or T5 Target
Same method as above using the following probabilities:
Success | Fail (~) | |
P(short) | 2/3 | 1/3 |
P(long) | 1/2 | 1/2 |
P(S3) | 1/3 | 2/3 |
P(S4) | 1/2 | 1/2 |
Summary (chance to cause at least one wound vs T4 or T5):
Long | Short | |
Lasgun | 16.7% | 22.2% |
Hotshot Lasgun | 25.0% | 33.3% |
Autogun | 23.5% | 31.3% |