6 decks, s17, NDAS
Player Hand: 8-8
Count System: HiLo
Effect of varying number of 7,8,9 at about mid-shoe
HiLo Running Count Indexes (all up cards)
~ Optimal strategy
________________________0 {7,8,9} present, 72 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}72
2 3 4 5 6 7 8 9 T A
Stand >=-5 >=1 >=3 >=3 >=3 >=1 >=33
Double - - - - - - - - - -
Pair p p p>=-67 p>=-45 p>=-79 - - - p>=-9 p>=-75
s>=21
LS - - - - - - - - >=57 -
ES - - - - - - - - >=23 -
________________________3 {7,8,9} present, 69 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}69
2 3 4 5 6 7 8 9 T A
Stand >=-6 >=-2 >=0 >=0 >=0 h h >=55 >=0 >=32
Double - - - - - - - - - -
Pair p p p>=-78 p>=-54 p p p s>=55 p>=-8 p>=-74
s>=18
LS - - - - - - - >=27 >=52 -
ES - - - - - - - >=27 >=18 -
________________________6 {7,8,9} present, 66 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}66
2 3 4 5 6 7 8 9 T A
Stand >=-9 >=-5 >=-5 >=-5 >=-5 h h >=52 >=1 >=31
Double - - - - - - - - - -
Pair p p p p>=-63 p p p s>=52 p>=-9 p>=-75
s>=17
LS - - - - - - - >=24 >=47 -
ES - - - - - - - >=24 >=13 -
________________________9 {7,8,9} present, 63 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}63
2 3 4 5 6 7 8 9 T A
Stand >=-10 >=-8 >=-8 >=-8 >=-8 h h >=47 >=0 >=30
Double - - - - - - - - - -
Pair p p p p<-90 p p p s>=47 p>=-8 p>=-74
p>=-80 s>=14
LS - - - - - - - >=23 >=40 -
ES - - - - - - - >=23 >=8 -
_______________________12 {7,8,9} present, 60 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}60
2 3 4 5 6 7 8 9 T A
Stand >=-13 >=-11 >=-11 >=-11 >=-13 h h >=44 >=1 >=29
Double - - - - - - - - - -
Pair p p p p p p p s>=44 p>=-7 p>=-71
s>=11
LS - - - - - - - >=20 >=33 -
ES - - - - - - - >=20 >=3 -
_______________________15 {7,8,9} present, 57 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}57
2 3 4 5 6 7 8 9 T A
Stand >=-14 >=-14 >=-14 >=-16 >=-16 h >=89 >=41 >=0 >=28
Double - - - - - - - - - -
Pair p p p p p p p p<-89 p>=-8 p>=-70
s>=41 s>=10
LS - - - - - - - >=17 >=28 -
ES - - - - - - - >=17 >=-2 -
_______________________18 {7,8,9} present, 54 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}54
2 3 4 5 6 7 8 9 T A
Stand >=-17 >=-17 >=-17 >=-19 >=-19 h >=78 >=36 >=1 >=29
Double - - - - - - - - - -
Pair p p p p p p p p<-76 p<-99 p>=-67
s>=36 p>=-7
s>=9
LS - - - - - - - >=14 >=19 -
ES - - - - - - - >=14 >=-5 -
_______________________21 {7,8,9} present, 51 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}51
2 3 4 5 6 7 8 9 T A
Stand >=-18 >=-18 >=-20 >=-22 >=-24 >=105 >=67 >=33 >=0 >=28
Double - - - - - - - - - -
Pair p p p p p p p p<-45 p<-90 p>=-64
p>=-35 p>=-28
h>=29 s>=8
LS - - - - - - - >=15 >=12 -
ES - - - - - - - >=15 >=-6 >=96
_______________________24 {7,8,9} present, 48 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}48
2 3 4 5 6 7 8 9 T A
Stand >=-19 >=-21 >=-23 >=-25 >=-27 >=88 >=58 >=28 >=1 >=27
Double - - - - - - - - - -
Pair p p p p p p p p<36 p<-79 p>=-61
p>=-47
s>=7
LS - - - - - - - >=16 >=5 -
ES - - - - - - - >=16 >=-7 >=11
<35
>=77
_______________________27 {7,8,9} present, 45 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}45
2 3 4 5 6 7 8 9 T A
Stand >=-22 >=-24 >=-26 >=-30 >=-30 >=71 >=49 >=25 >=0 >=26
Double - - - - - - - - - -
Pair p p p p p p p p<41 p<10 p<-110
p>=-56
LS - - - - - - - >=17 >=6 -
ES - - - - - - - >=17 >=-6 >=-22
_______________________30 {7,8,9} present, 42 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}42
2 3 4 5 6 7 8 9 T A
Stand >=-23 >=-27 >=-29 >=-33 >=-33 >=56 >=40 >=20 >=1 >=27
Double - - - - - - - - - -
Pair p p p p p p p p<46 p<13 p<-111
p>=-53
LS - - - - - - - >=20 >=5 -
ES - - - - - - - >=20 >=-7 >=-33
_______________________33 {7,8,9} present, 39 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}39
2 3 4 5 6 7 8 9 T A
Stand >=-26 >=-28 >=-32 >=-36 >=-36 >=41 >=31 >=17 >=0 >=26
Double - - - - - - - - - -
Pair p p p p p p p p<51 p<18 p<-112
p>=-46
LS - - - - - - - >=21 >=4 -
ES - - - - - - - >=21 >=-6 >=-40
_______________________36 {7,8,9} present, 36 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}36
2 3 4 5 6 7 8 9 T A
Stand >=-27 >=-31 >=-35 >=-39 >=-39 >=28 >=24 >=12 >=1 >=25
<115
Double - - - - - - - - - -
Pair p p p p p p p p<54 p<19 p<-113
h>=115 p>=-41
s>=109
LS - - - - - - - >=24 >=3 >=107
ES - - - - - - - >=24 >=-7 >=-45
_______________________39 {7,8,9} present, 33 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}33
2 3 4 5 6 7 8 9 T A
Stand >=-28 >=-34 >=-38 >=-42 >=-42 >=15 >=17 >=9 >=2 >=26
<112
Double - - - - - - - - - -
Pair p p p p p p p p<59 p<22 p<-114
h>=112 p>=-34
s>=102
LS - - - - - - - >=25 >=2 >=94
ES - - - - - - - >=25 >=-8 >=-46
_______________________42 {7,8,9} present, 30 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}30
2 3 4 5 6 7 8 9 T A
Stand >=-31 >=-35 >=-39 >=-45 >=-45 >=2 >=10 >=4 >=1 >=25
<109
Double - - - - - - - - - -
Pair p p p p p p p p<62 p<25 p>=-25
h>=109 s>=91
LS - - - - - - - >=28 >=-1 >=75
ES - - - - - - - >=28 >=-9 >=-49
_______________________45 {7,8,9} present, 27 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}27
2 3 4 5 6 7 8 9 T A
Stand >=-32 >=-38 >=-42 >=-48 >=-48 >=-9 >=1 >=1 >=2 >=24
<104
Double - - - - - - - - - -
Pair p p p p p p p p<65 p<26 p>=-16
h>=104 s>=80
LS - - - - - - - >=29 >=-2 >=-22
ES - - - - - - - >=29 >=-10 >=-50
_______________________48 {7,8,9} present, 24 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}24
2 3 4 5 6 7 8 9 T A
Stand >=-35 >=-39 >=-45 >=-49 >=-51 >=-18 >=-6 >=-4 >=3 >=25
<101
Double - - - - - - - - - -
Pair p p p p p p p p<68 p<25 p>=-9
h>=101 s>=67
LS - - - - - - - >=32 >=-3 >=-27
ES - - - - - - - >=32 >=-11 >=-53
_______________________51 {7,8,9} present, 21 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}21
2 3 4 5 6 7 8 9 T A
Stand >=-36 >=-42 >=-46 >=-52 >=-54 >=-29 >=-11 >=-7 >=2 >=24
<98
Double - - - - - - - - - -
Pair p p p p p p p p<71 p<26 p>=2
h>=98 s>=52
LS - - - - - - - >=33 >=-6 >=-30
ES - - - - - - - >=33 >=-12 >=-54
_______________________54 {7,8,9} present, 18 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}18
2 3 4 5 6 7 8 9 T A
Stand >=-37 >=-43 >=-49 >=-55 >=-57 >=-38 >=-18 >=-12 >=3 >=25
<95
Double - - - - - - - - - -
Pair p p p p p p p p<72 p<25 p>=17
h>=95 s>=29
LS - - - - - - - >=34 >=-9 >=-35
ES - - - - - - - >=34 >=-15 >=-57
_______________________57 {7,8,9} present, 15 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}15
2 3 4 5 6 7 8 9 T A
Stand >=-40 >=-46 >=-52 >=-58 >=-60 >=-47 >=-25 >=-15 >=4 >=24
<90
Double - - - - - - - - - -
Pair p<96 p p p p p p p<75 p<26 s>=24
h>=90
LS - - - - - - - >=37 >=-10 >=-40
ES - - - - - - - >=37 >=-16 >=-58
_______________________60 {7,8,9} present, 12 removed________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}12
2 3 4 5 6 7 8 9 T A
Stand >=-41 >=-47 >=-53 >=-59 >=-63 >=-56 >=-32 >=-20 >=5 >=25
<87
Double - - - - - - - - - -
Pair p<85 p p p p p p p<76 p<23 s>=25
h>=87
LS - - - - - - - >=38 >=-13 >=-45
ES - - - - - - - >=38 >=-19 >=-61
_______________________63 {7,8,9} present, 9 removed_________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}9
2 3 4 5 6 7 8 9 T A
Stand >=-44 >=-48 >=-56 >=-62 >=-66 >=-63 >=-37 >=-23 >=4 >=24
<84
Double - - - - - - - - - -
Pair p<72 p p p p p p p<77 p<22 s>=24
h>=84
LS - - - - - - - >=39 >=-16 >=-48
ES - - - - - - - >=39 >=-22 >=-62
_______________________66 {7,8,9} present, 6 removed_________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}6
2 3 4 5 6 7 8 9 T A
Stand >=-45 >=-51 >=-57 >=-65 >=-69 >=-72 >=-44 >=-28 >=5 >=25
<79
Double - - - - - - - - - -
Pair p<59 p p p p p p p<78 p<19 s>=25
h>=79
LS - - - - - - - >=40 >=-19 >=-53
ES - - - - - - - >=40 >=-25 >=-65
_______________________69 {7,8,9} present, 3 removed_________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}3
2 3 4 5 6 7 8 9 T A
Stand >=-48 >=-52 >=-58 >=-66 >=-70 >=-79 >=-51 >=-31 >=6 >=24
<76
Double - - - - - - - - - -
Pair p<46 p p p p p p p<79 p<16 s>=24
h>=76
LS - - - - - - - >=41 >=-22 >=-58
ES - - - - - - - >=41 >=-28 >=-66
_______________________70 {7,8,9} present, 2 removed_________________________
Count tags {1,-1,-1,-1,-1,-1,0,0,0,1}
Composition dependent indices for hand, rules, number of decks, and pen
Player hand composition: 0, 0, 0, 0, 0, 0, 0, 2, 0, 0: Hard 16, 2 cards
Decks: 6 (possible input for cards remaining: 1 to 312)
Cards remaining before up card = 156
Subgroup removals: {7,8,9}2
2 3 4 5 6 7 8 9 T A
Stand >=-49 >=-53 >=-59 >=-67 >=-71 >=-82 >=-52 >=-34 >=7 >=25
<75
Double - - - - - - - - - -
Pair p<41 p p p p p p p<80 p<15 s>=25
h>=75
LS - - - - - - - >=42 >=-23 >=-59
ES - - - - - - - >=42 >=-29 >=-67