So Fritz over at Saim-Hann put out a post wondering which is more survivable, a Falcon or a Serpent. Having done the math-hammer in the past... my answer is that the Falcon's more survivable in a stand-off role while the Serpent's a better assault boat.
Serpents are less likely to be killed by melta, Demolishers and when Moving Fast.
Falcons are equally or more likely to be damaged in other cases, but also more likely to survive the results.
5th edition has really become the heyday of mechanized armies. With this, there's been a subsequent rise in melta too. So my general rule is that Falcons sit in the back and play DAVU tactics while Serpents are used to Transport anything that wants to get close.
This is just a general rule as the math does not include BS to-hit, cover, Fortune, Tank Hunters or other exotic situations. I also don't factor for rear-armour shots; this is both implausible to fairly calculate and I figure you're getting your just desserts if that happens. So all shots are considered to have already hit, the target is in the open, it is against AV12, and the Serpent Field is on. Here's the maths:
Wave Serpent | Shaken | Stunned | Weapon D. | Immobilized | Wrecked | Explodes |
S6 | 8.33% | 2.78% | 2.78% | 2.78% | 0.00% | 0.00% |
S7 | 11.11% | 5.56% | 5.56% | 5.56% | 2.78% | 2.78% |
S8 | 13.89% | 8.33% | 8.33% | 8.33% | 5.56% | 5.56% |
S9 | 13.89% | 8.33% | 8.33% | 8.33% | 5.56% | 5.56% |
S10 | 13.89% | 8.33% | 8.33% | 8.33% | 5.56% | 5.56% |
S8 Ordnance | 13.89% | 8.33% | 8.33% | 8.33% | 5.56% | 5.56% |
S10 Ordnance | 13.89% | 8.33% | 8.33% | 8.33% | 5.56% | 5.56% |
S10 AP1 | 5.56% | 8.33% | 8.33% | 8.33% | 8.33% | 11.11% |
S10 AP1 Ord. | 5.56% | 8.33% | 8.33% | 8.33% | 8.33% | 11.11% |
S8 AP1 | 5.56% | 8.33% | 8.33% | 8.33% | 8.33% | 11.11% |
S8 AP1 Melta | 13.89% | 8.33% | 8.33% | 8.33% | 5.56% | 5.56% |
Or in graphical form:
Wave Serpent | Sum Damage | Dead Norm | Dead SMF |
S6 | 16.67% | 0.00% | 1.39% |
S7 | 33.33% | 5.56% | 5.56% |
S8 | 50.00% | 11.11% | 9.72% |
S9 | 50.00% | 11.11% | 9.72% |
S10 | 50.00% | 11.11% | 9.72% |
S8 Ordnance | 50.00% | 11.11% | 9.72% |
S10 Ordnance | 50.00% | 11.11% | 9.72% |
S10 AP1 | 50.00% | 19.44% | 13.89% |
S10 AP1 Ord. | 50.00% | 19.44% | 13.89% |
S8 AP1 | 50.00% | 19.44% | 13.89% |
S8 AP1 Melta | 50.00% | 11.11% | 9.72% |
Falcon | Shaken | Stunned | Weapon D. | Immobilized | Wrecked | Explodes |
S6 | 12.50% | 2.31% | 1.39% | 0.46% | 0.00% | 0.00% |
S7 | 17.59% | 6.48% | 4.63% | 2.78% | 1.39% | 0.46% |
S8 | 22.69% | 10.65% | 7.87% | 5.09% | 2.78% | 0.93% |
S9 | 27.78% | 14.81% | 11.11% | 7.41% | 4.17% | 1.39% |
S10 | 32.87% | 18.98% | 14.35% | 9.72% | 5.56% | 1.85% |
S8 Ordnance | 31.56% | 16.59% | 12.42% | 8.26% | 4.63% | 1.54% |
S10 Ordnance | 33.41% | 23.38% | 17.98% | 12.58% | 7.41% | 2.47% |
S10 AP1 | 9.26% | 23.61% | 18.98% | 14.35% | 9.72% | 7.41% |
S10 AP1 Ord. | 4.63% | 28.78% | 23.38% | 17.98% | 12.58% | 9.88% |
S8 AP1 | 9.26% | 13.43% | 10.65% | 7.87% | 5.09% | 3.70% |
S8 AP1 Melta | 4.63% | 27.08% | 21.99% | 16.90% | 11.81% | 9.26% |
In graphical form:
Falcon | Sum Damage | Dead Norm | Dead SMF |
S6 | 16.67% | 0.00% | 0.23% |
S7 | 33.33% | 1.85% | 2.32% |
S8 | 50.00% | 3.70% | 4.40% |
S9 | 66.67% | 5.56% | 6.48% |
S10 | 83.33% | 7.41% | 8.57% |
S8 Ordnance | 75.00% | 6.17% | 7.22% |
S10 Ordnance | 97.22% | 9.88% | 11.23% |
S10 AP1 | 83.33% | 17.13% | 15.74% |
S10 AP1 Ord. | 97.22% | 22.45% | 20.22% |
S8 AP1 | 50.00% | 8.80% | 8.34% |
S8 AP1 Melta | 91.67% | 21.06% | 18.98% |
Falcon vs Serpent | Shaken | Stunned | Weapon D. | Immobilized | Wrecked | Explodes |
S6 | 1.5 | 0.83 | 0.5 | 0.17 | N/A | N/A |
S7 | 1.58 | 1.17 | 0.83 | 0.5 | 0.5 | 0.17 |
S8 | 1.63 | 1.28 | 0.94 | 0.61 | 0.5 | 0.17 |
S9 | 2 | 1.78 | 1.33 | 0.89 | 0.75 | 0.25 |
S10 | 2.37 | 2.28 | 1.72 | 1.17 | 1 | 0.33 |
S8 Ordnance | 2.27 | 1.99 | 1.49 | 0.99 | 0.83 | 0.28 |
S10 Ordnance | 2.41 | 2.81 | 2.16 | 1.51 | 1.33 | 0.44 |
S10 AP1 | 1.67 | 2.83 | 2.28 | 1.72 | 1.17 | 0.67 |
S10 AP1 Ord. | 0.83 | 3.45 | 2.81 | 2.16 | 1.51 | 0.89 |
S8 AP1 | 1.67 | 1.61 | 1.28 | 0.94 | 0.61 | 0.33 |
S8 AP1 Melta | 0.33 | 3.25 | 2.64 | 2.03 | 2.13 | 1.67 |
Falcon vs Serpent | Sum Damage | Dead Norm | Dead SMF |
S6 | 1 | N/A | 0.17 |
S7 | 1 | 0.33 | 0.42 |
S8 | 1 | 0.33 | 0.45 |
S9 | 1.33 | 0.5 | 0.67 |
S10 | 1.67 | 0.67 | 0.88 |
S8 Ordnance | 1.5 | 0.56 | 0.74 |
S10 Ordnance | 1.94 | 0.89 | 1.15 |
S10 AP1 | 1.67 | 0.88 | 1.13 |
S10 AP1 Ord. | 1.94 | 1.15 | 1.46 |
S8 AP1 | 1 | 0.45 | 0.60 |
S8 AP1 Melta | 1.83 | 1.9 | 1.95 |
For the risk assessments, the number given is roughly how many times more likely a HoloFalcon is to get a result compared to a Wave Serpent.
A value of 1 means the two tanks are equally likely to get this result.
A value greater than 1 favors the Wave Serpent.
A value less than 1 favors the Falcon.
And here's a side-by side of their survivability based upon movement.
*Image borrowed from the good Master DarkSol's Photobucket.