▶ [ Lotto 수학 ] 60년간 매주 10만원 어치 반복 Lotto > 자유게시판

약 60년간 토요일(週;Week)마다 10만원 (100 조합)을
반복 구매할 때
1,2 등 전혀 안 될 확률 77.273158 %

(nhr(8145053,100)/nhr(8145060,100))^3000
또는
(ncr(8145060-7+100-1,100)/ncr(8145060+100-1,100)^3000
또는
(ncr(8145152,100)/ncr(8145159,100))^3000 =
0.77273158222681637586882832717892133843295


토요일(週;Week)에 10만원 (100 조합)을 1회 구매할 때
1,2 등 전혀 안 될 확률 = 99.99140625%

ncr(8145060-7+100-1,100)/ncr(8145060+100-1,100)
ncr(8145152,100)/ncr(8145159,100)
또는
nhr(8145060-7,100)/nhr(8145060,100) =
0.9999140625153977862367512932899639021495813187781178438594630646

nhr(8145060-7,100) =
131720005418072901303828673887346109942883254154781188768360646441778592137181979533573964755619022057946352668136080197983607164227529515985465671720868352295285746581404251565649317926704527212048320617554008173872647626171171943746026023480400772590921885453323030084427989375669537454206143522567614720765487922454621665902523088469585194166958479940995882501305976519186345020008790921083540164183898562123057955435286368029979987400361549052134799166319654573870884889620643950262912179278282964812742568744690064163358299343040

nhr(8145060,100) =
131731326076879262315818371284148393646813432908932088637521357899284466378027030648413762884753799846109397854573477760255499308570522181762265380659681435846749886981409300798893696499453786952393298728818208814914219118809068642779692597737346333522181381455230522320011969277990973037091675194832179889070547625036001997813503166218435823004718657182310829453481797955183859127934019036307215115737720620750976308429175223055139529843760521918047459904633124607074336647590073620722961224525941756482534906772100181623012592074840

nhr(n,r) 계산은 이렇게 중복없이 구매할 수도 있고,

04,11,14,17,22,24
03,04,06,07,19,20
03,15,16,18,19,23
07,16,17,19,20,22
03,06,16,17,20,22

이렇게 같은 거 반복 찍는 경우까지 다 계산하는 수학 함수.
04,11,14,17,22,24
04,11,14,17,22,24
04,11,14,17,22,24
03,04,06,07,19,20
03,15,16,18,19,23