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Baccarat
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Baccarat Appendix 1
The following table shows the number of combinations of each possible combination of the banker's and player's total score. This table assumes an 8-deck shoe.

Combinations in Baccarat
Banker
total		Player total
0123456789Total
0 28979901420544 24639193538560 24214066700288 23748210556928 24642962657280 25228523110400 57372381863936 58350707818496 88188576587776 88370543349760 443735067603968
1 24291119898624 20499217668352 20114458411008 19634953029632 20535822327808 21127406358528 48967402696704 49945260759040 60551359631360 60628881760256 346295882541312
2 24211866148864 20469715722240 20006606104576 19563259723776 20465430315008 21057973346560 48870027180032 49787546013696 60325437726720 60401880698880 345157466980352
3 26957461020672 23203622991872 22766694555648 22250510129408 20521555795968 21104461946880 48999874119680 49957422518272 64689446563840 63310197227520 363761246869760
4 46033607532544 40593010774016 38585331400704 38147840425984 36294133463040 34322188435456 51520246087680 49835600281600 64455840866304 67209934278656 466997733545984
5 46171612971008 40755264745472 42895386193920 45111417946112 41782247059456 39684046743808 56928963244032 55257433686016 67329651249152 67443153604608 503359177443584
6 48639204401152 40608057946112 42768049588224 44979215931392 45802040381440 46435736207360 96170001308416 94910008393728 72372438790144 72499777142784 605184530090752
7 54083703291904 46026293614592 45544433684480 45155412082688 45975559438336 46610049437696 100883873370112 101717538899968 77910445719552 78043684069376 641950993608704
8 85076577230848 57774350200832 57197896224768 56875337277440 57616152412160 58332350017536 77985646493696 79056148815872 54879416675072 55165968408576 639959843756800
9 85351454494720 57948328357888 57372732461056 57051058384896 57790127128576 58535141937152 78221719912448 79299874000896 55279842324480 55146054060032 641996333062144
Total 469796508410880 372517055559936 371465655324672 372517215488256 371426030979072 372435601541376 665920136276736 668117541187584 665982456134400 668220074600448 4998398275503360

The next table shows the probability of each final combination based on an eight-deck game.

Combinations in Baccarat
Banker
total		Player total
0123456789Total
0 0.005798 0.004929 0.004844 0.004751 0.004930 0.005047 0.011478 0.011674 0.017643 0.017680 0.088775
1 0.004860 0.004101 0.004024 0.003928 0.004108 0.004227 0.009797 0.009992 0.012114 0.01213 0.069281
2 0.004844 0.004095 0.004003 0.003914 0.004094 0.004212 0.009777 0.009961 0.012069 0.012084 0.069054
3 0.005393 0.004642 0.004555 0.004452 0.004106 0.004222 0.009803 0.009995 0.012942 0.012666 0.072776
4 0.009210 0.008121 0.007720 0.007632 0.007261 0.006867 0.010307 0.009970 0.012895 0.013446 0.093429
5 0.009237 0.008154 0.008582 0.009025 0.008359 0.007939 0.011389 0.011055 0.013470 0.013493 0.100704
6 0.009731 0.008124 0.008556 0.008999 0.009163 0.009290 0.019240 0.018988 0.014479 0.014505 0.121076
7 0.010820 0.009208 0.009112 0.009034 0.009198 0.009325 0.020183 0.020350 0.015587 0.015614 0.128431
8 0.017021 0.011559 0.011443 0.011379 0.011527 0.01167 0.015602 0.015816 0.010979 0.011037 0.128033
9 0.017076 0.011593 0.011478 0.011414 0.011562 0.011711 0.015649 0.015865 0.011060 0.011033 0.128440
Total 0.093989 0.074527 0.074317 0.074527 0.074309 0.074511 0.133227 0.133666 0.133239 0.133687 1

The next table shows the probabilities of each total after two cards.

2-Card Combinations in Baccarat
Total 6-deck 8-deck
0 0.147168 0.147359
1 0.094979 0.094903
2 0.094484 0.094532
3 0.094979 0.094903
4 0.094484 0.094532
5 0.094979 0.094903
6 0.094484 0.094532
7 0.094979 0.094903
8 0.094484 0.094532
9 0.094979 0.094903
Total 1 1

Go back to baccarat
Go to baccarat appendix 2
Go to baccarat appendix 3
Go to baccarat appendix 4

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