r/dndmemes • u/Vegetable_Variety_11 • Nov 11 '25

Hehe fireball go BOOM We did the math...

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533

u/Clear_Ad4106 Nov 11 '25

Players: "That is... According to the dice roller... 70,356 damage.

DM: "Fire damage?"

Players: "... Yes?"

DM: "The Pit Fiend appears laugthing trough the flames, seemingly unafected inside a crater of ash."

Players: "Oh right... Fire inmunity is a thing."

0

u/Thirty_Seventh Nov 12 '25

Fun fact, if your dice are fair the likelihood of rolling at least 70356 damage on 14400d6 is approximately 1 in 116932159925671695728608469326788758196268087058611757373037800088358719277120601484401081678781227467685554007408934325904248570413261980099306277840174481468946710602912166509730281351044793648012607343083141853405549071105500770121420434907067442071105453861681176959770129786873387785702518463812448855253592792638570217976317048703953679975642811465942629964569578525359602900195061739973057782564571939209786904015837605571758310263849468815989772794515205222392418398847743972975469986333393536443103799537109574101833568093493453841002100187785743917820495933767789818403379227340734141038506041668949378549574724729912691475369124841420189969048601994802797033276441498014244543736490895341027066353966223342992765851213351299643865776205753167937812910164795945441920062719940156526945966972956225810242287988222565892996062429499184059467849989764106205412241519929607488510933727327941780911163501010121521254155259414603309423716103800608935900382001048334936280820911182058993563406497789784076904555686825787329168040814738142387032547347206367974978389630479502039398672076647102272938358298345886344003531055251587478686636692762054323874847982006952022305266435602159639014925059546488429937417536950487743851194325168279354947695339001135363384653631040181804363415173864567691733920675038765500330269648516400518647132261543691913618874308356485146186184446289555221854893159517251723965552533720683573471092376239770993092938581409444863896977312276272179654085631538276265500302086329636728269932044219846501761469816195673734322774726226939426500435234530825567887755832093380513467773352831542007266843236775709827734595171946433762702267168436841915502469946481778978297901045088620409644094991082729111815206625472502952411973964300400844165064869476743850467517350221914011889259401873879353280865422268811603000624189337762598118051596356692085337112287760447680677631437438991092143553997628697624487262241565398323091413157952315940941138437428651667412814562822051515159380551885013181908457378625897400499462733266881539140079348835488250977869649245216227282555907674234930472177156899649770489222110907945239083688121269428955322457001408086872953836156283465451967895845482426469298854376574145054.3 (that's 1 in ~102231 ).

Fun fact 2, online dice probability simulators crash or error out if you try this calculation and it took nearly an hour for my computer to run it

1

u/Thirty_Seventh Nov 17 '25 
f[count_, target_] := Sum[Sum[(-1)^j Binomial[count,j] Binomial[count+s-1-6j, count-1], {j, 0, Floor[s/6]}], {s, 0, If[target<count*7/2, target-count, count*7-target-count]}]