Expression 9: "c" left parenthesis, "m" , right parenthesis equals Start sum from "r" equals 1 to 90, end sum, "p" Subscript, "R" , Baseline left parenthesis, "r" , right parenthesis left parenthesis, "r" minus "M" Subscript, "e" "a" "n" , Baseline , right parenthesis Superscript, "m" , Baselinecm=90∑r=1pRrr−Meanm
9
Expression 10: "M" Subscript, "e" "a" "n" , Baseline equals Start sum from "r" equals 1 to 90, end sum, "p" Subscript, "R" , Baseline left parenthesis, "r" , right parenthesis "r"Mean=90∑r=1pRrr
equals=
62.2 9 7 3 3 2 0 3 9 662.2973320396
10
Expression 11: "S" Subscript, "d" "e" "v" , Baseline equals StartRoot, "c" left parenthesis, 2 , right parenthesis , EndRootSdev=c2
equals=
24.3 1 2 2 6 3 5 3 2 824.3122635328
11
Expression 12: "S" Subscript, "k" "e" "w" , Baseline equals StartFraction, "c" left parenthesis, 3 , right parenthesis Over "S" cubed , EndFractionSkew=c3S3dev
equals=
negative 1.2 4 2 6 8 8 9 1 5 1 6−1.24268891516
12
Expression 13: "K" Subscript, "u" "r" "t" , Baseline equals StartFraction, "c" left parenthesis, 4 , right parenthesis Over "S" to the 4th power , EndFractionKurt=c4S4dev
equals=
3.0 4 1 1 7 6 4 6 1 5 13.04117646151
13
Expression 14: "P" Subscript, "C" "o" "n" "s" "o" "l" "i" "d" "a" "t" "e" "d" , Baseline equals StartFraction, 1 Over "M" Subscript, "e" "a" "n" , Baseline , EndFractionPConsolidated=1Mean
Based on the h+s pity system, with 160 primogems per roll:
E(# primogems per 5-star) = 63*160 = 10 080
Compared to the naive estimate of 90 rolls per 5-star, which is 90*160 = 14 400