Opps, the 33% should be a 66%. Again assuming 50% chance for the scatter to hit, which is very generous, the chance is (Hit 1/3 + Scatter 2/3 * 1/2) 2/3.
How did you get 2d6 for the demolisher?
I'll start at the beginning just to make sure we're on the same page.
I've actually got a little carried away in writing this, so perhaps I should get soemone to check the maths and make a new article about killing Monoliths with Ordnance!
Or add it to your's.
1) A lot of this also applies to shooting Landraiders, although as they are not quite as large and are considerably more vulnerable to Meltaguns, the focus is on the hardest vehcile to destroy; the Necron Monolith.
2) I am ignoring cover for three reasons; its hard to get a full 50% cover on a Monolith, under current rules a Demolisher can MOVE to get a better angle and fire ordnance, and to work out the effect of cover the chance of every result is simply halved.
3) Numbers are rounded. My view in gaming 'Memorability trumps precision'.
To Hit
Using a Demolisher cannon means 33% are direct hits without any scatter. Against the A14 Monolith with its base dimensions of 6x6 inches, if the template was placed dead-centre a 3 inch scatter is also a hit.
Chance to hit a target of between 6 and 7 inches across (eg Monlith) requires a roll of 6 or under on 2 dice (so that the BS3 is enough to ensure a hit) = 15/36 = 41.6% of the scatters will hit.
41.6% of the scatters (27.7% of all shots) + 33.3% direct-hits = 61% chance of a hit on a Monolith using a Demolisher Cannon
Against so large a target as a monolith, the Imperial Guard's finest battle tank will hit 61% of its shots.
To Penetrate
To quote your article 'the ordnance has at best a 33% chance of doing anything' in fact an S10 Demolisher vs Monolith picks the higher of 2 dice:
It is more likely to glance or penetrate than it is to do no damage (because there are two rolls at a 50% chance of scoring damage, and the higher is used)
It is more than twice as likely that the damage will be penetrating rather than glancing (because 4 glances and 5 or 6 penetrate, but if two dice of 4 or more are rolled the lower is discarded)
Chance to GLANCE a Monolith
The Demolisher will hit 61% of its shots against a large (6'+ across) target.
A four is required to glance.
The Demolisher fires Ordnance, so two dice are rolled and the higher number is picked. The chance of rolling a 4 on two dice is 30.5% (not quite the 1/3 you might expect) BUT any roll where the second dice is higher than 4 will have the 4 discarded. This leaves 7/36 where the 4 is higher, or 19.4%.
The chance of GLANCING a monolith with a demolisher hit is 19.4%, or you can roughly expect to glance 1 Monolith for every 5 turns hit, or every 9 or 10 times you fire at it.
One third of the glances will stop it firing, other results are equally split among stopping it moving and firing, destroying a weapon (
IMHO the worst result vs this target) and immobilising it.
Chance to PENETRATE a Monolith
The Demolisher will hit 61% of its shots against a large (6'+ across) target.
A five is required to penetrate.
The Demolisher fires Ordnance, so two dice are rolled and the higher number is picked. The chance of rolling a 5 or 6 on two dice is 20/36 = 55% (less than the 2/3 you might expect)
The chance of Penetrating a monolith with a demolisher shot is 61% (chance to hit) x 55% (chance to penetrate) = 33.5%, or you can expect one penetrating hit for every 3 turns you fire at it.
The chance of Penetrating a monolith with a hit is 55%, or you can roughly expect a penetrating hit on a Monolith 2 turns you hit.
One third of the penetrating hits will destroy the target, other results are equally split among stopping it moving and firing, destroying a weapon (
IMHO the worst result vs this target) and immobilising it.
Chance to DESTROY a Monolith
To destroy a monolith requires a hit (61%), a penetration (55%) and a destroyed result on the damage chart (33%) = 11%
YOu can expect it to take an average of 9 shots at a Monolith to kill it.
Conclusions
Every time you fire a Demolisher Cannon at a Monolith, you have a 19.4% chance of glancing it and a 33.5% Chance of Penetrating
By adding the Glancing to the Penetrating results, you can see the odds of each outcome being the result of a shot
Miss 39%
Hit without damage 9.72%
Shake 9.7% (from glancing hits) + 7% (from penetrating hits) =18.4%
Stun 3.2% +7% =10.2%
Destroy Weapon 3.2% +7% =10.2%
Immobilise 3.2% +7% =10.2%
Destroy/Explode 0% + 14% =14%
Chance to do something: 52 % per shot
Chance to do nothing: 48 % per shot
Cunning Template Tactic 1
A tactic that just occurred to me while writing this is that a blast template
Should Not be placed dead-centre on the target after all; it should be placed 2' from 2 sides. That way if the hypothetical target is around 5' across, there is a better chance of hitting because in two directions there are 3' of target instead of 5'.
Cunning Template Tactic 2
If the Necron Warriors are clustered around the monolith (as they often are) fire a demolisher at it! A scatter is likely to kill some, and if the Dice Gods love you its possible to kill some Necrons and still have a penetrating hit on the Mono.