06-23-2003, 01:03 AM
Hi,
Using this method it is easy to compute the various possiblities of spawned monsters for dlvl 15 including balrogs/drakes, balrogs/SB's, tri-witch, etc. Further down in the guide there are tables that list the probabilities of a certain monsters spawning on given dlvls. The problem I am having is relating these percantages to what monsters actually spawn. Is there any way to use those percantages to calculate a monsters fractional occurance?
Effectively, no. What you described is the explanation from Jarulf's Guide as to what the probabilities of monster *types* appearing in the various levels. However, IIRC, nowhere in the guide does it address just how the actual placement of the individual monsters on a level is determined. Without that information, you have no real means of generating the number you want. And even with that information, the calculation might not be tractable.
The guide mentions that 185 monsters spawn per level on average. Will the number of monsters that spawn of each type be divided equally?
That is an approximate average value. Claudio was interested in this because of a discussion of accidental leveling in a 3@30 attempt. He and I and a few other people did hell clears keeping track of the number of monsters per level. I don't remember the exact results, but there was a fair spread around the mean.
If two monster types spawn on level 15, will each one constitute 50% of that level? If three types spawn, will each type constitute 33% of that level?
I don't think that that would necessarily be the case. IIRC, the distribution between monsters varied even more than the total number.
Your proposed method probably give a fairly good answer. It could probably be done fairly rapidly in a spreadsheet. First, generate all combinations of monster types that could appear on the level. Each of these should be equally probable. So, if there are N combinations, the probability of any one of them is 1/N. Then, for each combination, look at how many monster types are represented. For instance, if three monster types are in the first combination, then the number of each of those types of monster is 1/N*1/3*185 average per game. Do this for all monsters and all combinations and you'll generate an "average number of monsters of type X that can appear on level Y" table. If you are only interested in one particular type of monster, be sure to include all the combinations that that monster does *not* appear in in your count of N.
If you do push this through, you really should post your results. Even though they will not make any difference on how the game is played, they'll still have some curiosity value :)
--Pete
Using this method it is easy to compute the various possiblities of spawned monsters for dlvl 15 including balrogs/drakes, balrogs/SB's, tri-witch, etc. Further down in the guide there are tables that list the probabilities of a certain monsters spawning on given dlvls. The problem I am having is relating these percantages to what monsters actually spawn. Is there any way to use those percantages to calculate a monsters fractional occurance?
Effectively, no. What you described is the explanation from Jarulf's Guide as to what the probabilities of monster *types* appearing in the various levels. However, IIRC, nowhere in the guide does it address just how the actual placement of the individual monsters on a level is determined. Without that information, you have no real means of generating the number you want. And even with that information, the calculation might not be tractable.
The guide mentions that 185 monsters spawn per level on average. Will the number of monsters that spawn of each type be divided equally?
That is an approximate average value. Claudio was interested in this because of a discussion of accidental leveling in a 3@30 attempt. He and I and a few other people did hell clears keeping track of the number of monsters per level. I don't remember the exact results, but there was a fair spread around the mean.
If two monster types spawn on level 15, will each one constitute 50% of that level? If three types spawn, will each type constitute 33% of that level?
I don't think that that would necessarily be the case. IIRC, the distribution between monsters varied even more than the total number.
Your proposed method probably give a fairly good answer. It could probably be done fairly rapidly in a spreadsheet. First, generate all combinations of monster types that could appear on the level. Each of these should be equally probable. So, if there are N combinations, the probability of any one of them is 1/N. Then, for each combination, look at how many monster types are represented. For instance, if three monster types are in the first combination, then the number of each of those types of monster is 1/N*1/3*185 average per game. Do this for all monsters and all combinations and you'll generate an "average number of monsters of type X that can appear on level Y" table. If you are only interested in one particular type of monster, be sure to include all the combinations that that monster does *not* appear in in your count of N.
If you do push this through, you really should post your results. Even though they will not make any difference on how the game is played, they'll still have some curiosity value :)
--Pete
How big was the aquarium in Noah's ark?