Sleboda said:
I believe the L2 shaman has a 16 in 36 (4 in 9) chance of getting one single spell he wants, in this case Spear. That's a 44% chance. This is compared to the 100% chance of "getting" cannon if you want one.
This is going to be the major factor of the comparison. Followed by the winds of magic roll.
My math says a level 2 wizard trying to roll for a specific spell has 11 chances out of 36 to roll the spell they want, or roll a double. That's a 30.5% chance of even getting the spell. (5 doubles that aren't 3 & 3, plus 6 ways to roll at least one 3)
Sleboda said:
The cannon has to see it's target point on the ground, roll for variable landing point (and not misfire), and roll for bounce. That all?
If the cannon shoots 8" in front of the target, assuming that there is at least a 2" wiggle room to hit the monster base, then it needs to not roll:
1. miss fire
2. a 2 followed by a 2 or a 4
3. a 4 followed by a 2
3. a 2, 4, or 6 followed by a misfire
I count 31 different out comes and 22 of them hit the target. (70.9% hit rate)
A L2 wizard has to roll 6+ on 2-6 power dice AND roll higher than their opponent rolls on 1-6(or more) dispel dice with an extra +2 (from likely wizard level imbalance...)
The math gets crazy here, but going just by averages (and assuming you roll all your dice to cast and he rolls all his dice to dispel) you will get the spell off at least half the time if you roll a total winds of 6 or less (ignoring channeling).
Once you roll 7 or more winds dice, the odds are in your opponents favor to dispel.
So you can estimate that a winds of magic roll of 2-6 = a successful casting, and winds of 7-12 are a failed casting (unless double 6's are rolled) so that gives you a 26.3% chance (according to
http://www.ehergert.net/drop_folder/Mathhammer.pdf)
I get a 41% chance that you roll less than 7 on winds of magic (and 50% of the time you'll not be dispelled so 20.5% success) and 26.3% of the remaining 59% is 15.5% which gives you a 35.5% chance to get the spell off. It's actually a little higher than that because with the lower dice rolls you can still roll IF, so lets round up to 40%.
So, 5 attempts to cast the spell (assuming 1 is scrolled) gives you 2 successful castings per game. And 30.5% chance you even have the spell to begin with is an average of 0.61 hits per game (over the course of multiple games.. any discrete game will average 0 or 2)
The cannon blowing up each turn which would lower it's number of attemps from 6 to 5.5 which makes it ht 3.8895 and other misfires make it skip a turn, which would probably drop it another .3 or so (numbers are starting to get fuzzy..)
So a cannon has 5.2 attempts to shoot with a 70.9 hit rate giving it 3.68 hits per game.
I think that makes the cannon 603% more likely to hit than the Skink Priest (although, only 184% more hitty than a Priest that successfully rolled the Spear) and only costs 25% more.
Note: if you assume no dispel scroll it increases the number of hits per game-with-spell from 2 to 2.4, so it's not that big of a jump compared to the cannon's 3.68... and there will almost always be a dispel scroll ... plus the Cannon probably has an Engineer to mitigate misfires.
Anyone want to check my math? (I did it all inline.. so it is ripe for errors)
In the big picture, though, 2 out of 3 games you won't even have Amber Spear to cast with just one Priest.