2009-03-22, 06:23 PM
That's a nice mathematical lesson and all that, and they seem consistent... so far (although I can't testify that for combinatorics since I've never studied those). Also, what proof do you have that MapleStory's RNG uses the algorithm you described?
I am going out on a limb here and will say that people will probably expect this guide to have a table listing probabilities of getting X scrolls to work on certain equips. For the most part, have a section that applies practical information for MapleStory (I assume this is going to be section 7). Hopefully we'll see good results from this!
PS: I've worked out my own set of tables in my LOLPALLY guide. Since I haven't been able to get anyone to double-check my math completely, wanna compare results?
I am going out on a limb here and will say that people will probably expect this guide to have a table listing probabilities of getting X scrolls to work on certain equips. For the most part, have a section that applies practical information for MapleStory (I assume this is going to be section 7). Hopefully we'll see good results from this!
PS: I've worked out my own set of tables in my LOLPALLY guide. Since I haven't been able to get anyone to double-check my math completely, wanna compare results?
Spoiler
KajitiSouls Wrote:Probabilities: These tables are based on the hypothetical scenario that you have infinite equipment and infinite scrolls. The BREAK! number represents the percentage of equipment that will be destroyed based on the number of dark scrolls you use.
Probabilities - WARNING: May cause page to stretch.
70%
1 Scroll 2 Scrolls 3 Scrolls 4 Scrolls 5 Scrolls 6 Scrolls 7 Scrolls 8 Scrolls 9 Scrolls 10 Scrolls 1/0 70%2/0 49%3/0 34.3%4/0 24.01%5/0 16.807%6/0 11.7649%7/0 8.23543%8/0 5.764801%9/0 4.0353607%10/0 2.82475249%[NOPARSE][/NOPARSE]0/1 15%1/1 21%2/1 22.05%3/1 20.58%4/1 18.0075%5/1 15.1263%6/1 12.353145%7/1 9.882516%8/1 7.78248135%9/1 6.05304105%[NOPARSE][/NOPARSE]Break! 15%0/2 2.25%1/2 4.725%2/2 6.615%3/2 7.7175%4/2 8.103375%5/2 7.9413075%6/2 7.411887%7/2 6.6706983%8/2 5.8368610125%[NOPARSE][/NOPARSE]Break! 27.75%0/3 0.3375%1/3 0.945%2/3 1.65375%3/3 2.31525%4/3 2.83618125%5/3 3.176523%6/3 3.33534915%7/3 3.33534915%[NOPARSE][/NOPARSE]Break! 38.5875%0/4 0.050625%1/4 0.1771875%2/4 0.37209375%3/4 0.607753125%4/4 0.850854375%5/4 1.0720765125%6/4 1.25075593125%[NOPARSE][/NOPARSE]Break! 47.799375%0/5 0.00759375%1/5 0.03189375%2/5 0.0781396875%3/5 0.14586075%4/5 0.22973068125%5/5 0.32162295375%[NOPARSE][/NOPARSE]Break! 55.62946875%0/6 0.0011390625%1/6 0.00558140625%2/6 0.0156279375%3/6 0.03281866875%4/6 0.0574326703125%[NOPARSE][/NOPARSE]Break! 62.2850484375%0/7 0.000170859375%1/7 0.0009568125%2/7 0.003013959375%3/7 0.007032571875%[NOPARSE][/NOPARSE]Break! 67.942291171875%0/8 0.00002562890625%1/8 0.000161462109375%2/8 0.0005651173828125%[NOPARSE][/NOPARSE]Break! 72.75094749609375%0/9 0.0000038443359375%1/9 0.0000269103515625%[NOPARSE][/NOPARSE]Break! 76.8383053716796875%0/10 0.000000576650390625%[NOPARSE][/NOPARSE]Break! 80.312559565927734375%
60%
1 Scroll 2 Scrolls 3 Scrolls 4 Scrolls 5 Scrolls 6 Scrolls 7 Scrolls 8 Scrolls 9 Scrolls 10 Scrolls 1/0 60%2/0 36%3/0 21.6%4/0 12.96%5/0 7.776%6/0 4.6656%7/0 2.79936%8/0 1.679616%9/0 1.0077696%10/0 0.60466176%[NOPARSE][/NOPARSE]0/1 40%1/1 48%2/1 43.2%3/1 34.56%4/1 25.92%5/1 18.6624%6/1 13.06368%7/1 8.957952%8/1 6.0466176%9/1 4.0310784%[NOPARSE][/NOPARSE]0/2 16%1/2 28.8%2/2 34.56%3/2 34.56%4/2 31.104%5/2 26.12736%6/2 20.901888%7/2 16.1243136%8/2 12.0932352%[NOPARSE][/NOPARSE]0/3 6.4%1/3 15.36%2/3 23.04%3/3 27.648%4/3 29.0304%5/3 27.869184%6/3 25.0822656%7/3 21.4990848%[NOPARSE][/NOPARSE]0/4 2.56%1/4 7.68%2/4 13.824%3/4 19.3536%4/4 23.22432%5/4 25.0822656%6/4 25.0822656%[NOPARSE][/NOPARSE]0/5 1.024%1/5 3.6864%2/5 7.74144%3/5 12.386304%4/5 16.7215104%5/5 20.06581248%[NOPARSE][/NOPARSE]0/6 0.4096%1/6 1.72032%2/6 4.128768%3/6 7.4317824%4/6 11.1476736%[NOPARSE][/NOPARSE]0/7 0.16384%1/7 0.786432%2/7 2.1233664%3/7 4.2467328%[NOPARSE][/NOPARSE]0/8 0.065536%1/8 0.3538944%2/8 1.0616832%[NOPARSE][/NOPARSE]0/9 0.0262144%1/9 0.1572864%[NOPARSE][/NOPARSE]0/10 0.01048576%
30%
1 Scroll 2 Scrolls 3 Scrolls 4 Scrolls 5 Scrolls 6 Scrolls 7 Scrolls 8 Scrolls 9 Scrolls 10 Scrolls 1/0 30%2/0 9%3/0 2.7%4/0 0.81%5/0 0.243%6/0 0.0729%7/0 0.02187%8/0 0.006561%9/0 0.0019683%10/0 0.00059049%[NOPARSE][/NOPARSE]0/1 35%1/1 21%2/1 9.45%3/1 3.78%4/1 1.4175%5/1 0.5103%6/1 0.178605%7/1 0.061236%8/1 0.02066715%9/1 0.00688905%[NOPARSE][/NOPARSE]Break! 35%0/2 12.25%1/2 11.025%2/2 6.615%3/2 3.3075%4/2 1.488375%5/2 0.6251175%6/2 0.250047%7/2 0.0964467%8/2 0.0361675125%[NOPARSE][/NOPARSE]Break! 57.75%0/3 4.2875%1/3 5.145%2/3 3.85875%3/3 2.31525%4/3 1.21550625%5/3 0.583443%6/3 0.26254935%7/3 0.11252115%[NOPARSE][/NOPARSE]Break! 72.5375%0/4 1.500625%1/4 2.2509375%2/4 2.02584375%3/4 1.418090625%4/4 0.850854375%5/4 0.4594613625%6/4 0.22973068125%[NOPARSE][/NOPARSE]Break! 82.149375%0/5 0.52521875%1/5 0.94539375%2/5 0.9926634375%3/5 0.79413075%4/5 0.53603825625%5/5 0.32162295375%[NOPARSE][/NOPARSE]Break! 88.39709375%0/6 0.1838265625%1/6 0.38603578125%2/6 0.4632429375%3/6 0.41691864375%4/6 0.3126889828125%[NOPARSE][/NOPARSE]Break! 92.4581109375%0/7 0.064339296875%1/7 0.1544143125%2/7 0.208459321875%3/7 0.208459321875%[NOPARSE][/NOPARSE]Break! 95.097772109375%0/8 0.02251875390625%1/8 0.060800635546875%2/8 0.0912009533203125%[NOPARSE][/NOPARSE]Break! 96.81355187109375%0/9 0.0078815638671875%1/9 0.0236446916015625%[NOPARSE][/NOPARSE]Break! 97.9288087162109375%0/10 0.002758547353515625%[NOPARSE][/NOPARSE]Break! 98.653725665537109375%
10%
1 Scroll 2 Scrolls 3 Scrolls 4 Scrolls 5 Scrolls 6 Scrolls 7 Scrolls 8 Scrolls 9 Scrolls 10 Scrolls 1/0 10%2/0 1%3/0 0.1%4/0 0.01%5/0 0.001%6/0 0.0001%7/0 0.00001%8/0 0.000001%9/0 0.0000001%10/0 0.00000001%[NOPARSE][/NOPARSE]0/1 90%1/1 18%2/1 2.7%3/1 0.36%4/1 0.045%5/1 0.0054%6/1 0.00063%7/1 0.000072%8/1 0.0000081%9/1 0.0000009%[NOPARSE][/NOPARSE]0/2 81%1/2 24.3%2/2 4.86%3/2 0.81%4/2 0.1215%5/2 0.01701%6/2 0.002268%7/2 0.0002916%8/2 0.00003645%[NOPARSE][/NOPARSE]0/3 72.9%1/3 29.16%2/3 7.29%3/3 1.458%4/3 0.25515%5/3 0.040824%6/3 0.0061236%7/3 0.0008748%[NOPARSE][/NOPARSE]0/4 65.61%1/4 32.805%2/4 9.8415%3/4 2.29635%4/4 0.45927%5/4 0.0826686%6/4 0.0137781%[NOPARSE][/NOPARSE]0/5 59.049%1/5 35.4294%2/5 12.40029%3/5 3.306744%4/5 0.7440174%5/5 0.14880348%[NOPARSE][/NOPARSE]0/6 53.1441%1/6 37.20087%2/6 14.880348%3/6 4.4641044%4/6 1.1160261%[NOPARSE][/NOPARSE]0/7 47.82969%1/7 38.263752%2/7 17.2186884%3/7 5.7395628%[NOPARSE][/NOPARSE]0/8 43.046721%1/8 38.7420489%2/8 19.37102445%[NOPARSE][/NOPARSE]0/9 38.7420489%1/9 38.7420489%[NOPARSE][/NOPARSE]0/10 34.86784401%
Equipment Destruction Rates
1 Scroll 2 Scrolls 3 Scrolls 4 Scrolls 5 Scrolls 6 Scrolls 7 Scrolls 8 Scrolls 9 Scrolls 10 Scrolls 1/0 15%2/0 27.75%3/0 38.5875%4/0 47.799375%5/0 55.62946875%6/0 62.2850484375%7/0 67.942291171875%8/0 72.75094749609375%9/0 76.8383053716796875%10/0 80.312559565927734375%[NOPARSE][/NOPARSE]0/1 35%1/1 44.75%2/1 53.0375%3/1 60.081875%4/1 66.06959375%5/1 71.1591546875%6/1 75.485281484375%7/1 79.16248926171875%8/1 82.2881158724609375%9/1 84.944898491591796875%[NOPARSE][/NOPARSE]0/2 57.75%1/2 64.0875%2/2 69.474375%3/2 74.05321875%4/2 77.9452359375%5/2 81.253450546875%6/2 84.06543296484375%7/2 86.4556180201171875%8/2 88.487275317099609375%[NOPARSE][/NOPARSE]0/3 72.5375%1/3 76.656875%2/3 80.15834375%3/3 83.1345921875%4/3 85.664403359375%5/3 87.81474285546875%6/3 89.6425314271484375%7/3 91.196151713076171875%[NOPARSE][/NOPARSE]0/4 82.149375%1/4 84.82696875%2/4 87.1029234375%3/4 89.037484921875%4/4 90.68186218359375%5/4 92.0795828560546875%6/4 93.267645427646484375%[NOPARSE][/NOPARSE]0/5 88.39709375%1/5 90.1375296875%2/5 91.616900234375%3/5 92.87436519921875%4/5 93.9432104193359375%5/5 94.851728856435546875%[NOPARSE][/NOPARSE]0/6 92.4581109375%1/6 93.589394296875%2/6 94.55098515234375%3/6 95.3683373794921875%4/6 96.063086772568359375%[NOPARSE][/NOPARSE]0/7 95.097772109375%1/7 95.83310629296875%2/7 96.4581403490234375%3/7 96.989419296669921875%[NOPARSE][/NOPARSE]0/8 96.81355187109375%1/8 97.2915190904296875%2/8 97.697791226865234375%[NOPARSE][/NOPARSE]0/9 97.9288087162109375%1/9 98.239487408779296875%[NOPARSE][/NOPARSE]0/10 98.653725665537109375%[U][COLOR="DimGray"]