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[真人] 百家樂投注研究二
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第二節 百家樂收益率的研究

賭戲分析的根本的是研究賭戲的賭博策略和相應的收益率。從表面看來百家樂似乎沒有和二十一點類似的策略,但它和二十一點一樣,用了多副牌,一局牌要玩很多輪,可以預料,百家樂也應該存在著一個浮動的收益率。

從前一節對百家樂基本資料的計算可以看出,這時計算出的是所有的牌都還在牌盒里,一張牌也還沒有發出時的收益率。

在荷官剛洗完牌,游戲尚未開始進行之前的初始狀態,在一副牌中,每種牌平均都有4張;隨著游戲的進行,這種狀態被打破,會出現各種各樣的偏離初始狀態的情形。和研究二十一點採用的方法一樣,我們首先研究比較特殊的情形,即平均到一副牌時,單獨一種牌數量的變化對賭客收益率的影響,以便認識這種牌在百家樂中的作用,從而得到對所有牌作用的認識。 ——百家樂天地duchang888.com——>

假設某種牌的數量不是4張,而是比其他的牌多出了X張,爲4+0.5X張,那麼其余的12種牌必須少掉0.5X張才能保持數量上的平衡,爲了研究方便,我們認爲這12種牌的機會都一樣,他們都以相同的概率出現。這樣,在一副牌中多出X張的牌出現的概率爲:

(4+0.5X )/52=1/13×(1+X/8)

其余的牌出現的概率爲: ——百家樂天地duchang888.com——>

(4-0.5X/12)/52=1/13×(1-X/96)

在8副牌的情況下,X的可能取值爲-8爲X爲56。

和前一節的過程類似,我們可以得到對應于每一個X的取值下的收益率,在此我們省略推算過程,直接給出每種牌從少8張到多出25張的情況下,百家樂的收益率。

一 莊 ——百家樂天地duchang888.com——>

% j/ a2 q% D. {8 A, T; }
賭客的收益率和一副牌中每種牌多少的關系 X= 少牌或多牌的種類; X' w* s0 T$ |, m0 u  r
10A23456789/ E; T' T5 e0 o) t
-8-1.003-0.905-0.866-0.921-0.743-1.263-1.528-1.405-1.230-1.159
3 J' D' I; b) u/ R) p! z6 _" q-7-1.008-0.925-0.894-0.928-0.773-1.250-1.462-1.354-1.211-1.146* ]7 m9 V! T; r
-6-1.013-0.945-0.920-0.939-0.806-1.234-1.398-1.306-1.192-1.1333 |3 O6 p6 X1 L' D+ P' Y( t- G4 @' K6 {
-5-1.020-0.966-0.946-0.953-0.842-1.213-1.336-1.261-1.171-1.120' e3 {2 ?# _9 z( ], B; f( P
-4-1.027-0.985-0.971-0.970-0.881-1.189-1.277-1.218-1.151-1.108* B1 @# X7 \  Z' q2 `$ _( M
-3-1.035-1.005-0.995-0.989-0.923-1.162-1.220-1.177-1.129-1.096" a- ^! o, ?+ n% _
-2-1.044-1.025-1.018-1.012-0.968-1.132-1.166-1.138-1.108-1.0859 C- z0 H, ~+ ~
-1-1.054-1.045-1.041-1.037-1.015-1.099-1.114-1.100-1.086-1.074+ a0 h/ Q/ F+ m9 x+ E- d8 ^5 A0 p
0-1.064-1.064-1.064-1.064-1.064-1.064-1.064-1.064-1.064-1.064
- T. @: ~$ [8 z- n) c. x. g1-1.075-1.083-1.087-1.094-1.115-1.027-1.016-1.029-1.042-1.0540 D0 j5 ?9 N! N- z( [, ]
2-1.087-1.102-1.109-1.125-1.169-0.987-0.970-0.994-1.019-1.045& Z+ n4 Z* M. q+ B' Z
3-1.099-1.121-1.132-1.159-1.224-0.946-0.927-0.960-0.997-1.036
7 X, V0 a& Z4 t8 ?+ q0 ?/ r4-1.113-1.140-1.155-1.195-1.281-0.903-0.885-0.927-0.975-1.028
( f4 t3 c0 ?& ~5-1.126-1.158-1.179-1.232-1.339-0.859-0.845-0.894-0.953-1.0207 V: t  D8 g5 j5 E
6-1.141-1.176-1.203-1.271-1.398-0.814-0.807-0.862-0.930-1.013  H  D( C7 }( V; m0 e1 O. a
7-1.156-1.194-1.228-1.312-1.458-0.767-0.771-0.829-0.909-1.007
  O6 @* P3 N7 m; R1 [; ^! l8-1.172-1.212-1.254-1.353-1.519-0.720-0.736-0.796-0.887-1.001; T  j6 Y0 I7 ]
9-1.188-1.230-1.281-1.396-1.580-0.672-0.703-0.763-0.866-0.996& G5 T" ~) o7 G0 u. c
10-1.204-1.247-1.309-1.440-1.642-0.624-0.672-0.729-0.845-0.992
# @3 \) r! d  G7 k* x: r, q6 r11-1.221-1.264-1.339-1.484-1.704-0.575-0.642-0.695-0.824-0.988! W) G5 P) x" p' _
12-1.239-1.281-1.370-1.530-1.766-0.526-0.614-0.661-0.804-0.985) h. ?$ h  F3 b8 s" q
13-1.257-1.298-1.403-1.576-1.828-0.477-0.587-0.626-0.784-0.982
# T. _; W/ ^- V2 d- Z" g+ j14-1.275-1.314-1.437-1.622-1.890-0.428-0.562-0.590-0.765-0.9802 `6 _: a! x5 q2 I& A  e! h; d
15-1.294-1.330-1.473-1.668-1.951-0.379-0.538-0.553-0.747-0.979
: J4 G- `" ?: J( N; s3 S16-1.313-1.346-1.512-1.715-2.011-0.331-0.515-0.515-0.729-0.979+ i& i+ D8 l2 w
17-1.332-1.362-1.552-1.761-2.071-0.284-0.493-0.476-0.712-0.979
& h1 O( C& i1 `" e- x: Q, m7 t0 k18-1.351-1.377-1.595-1.808-2..130-0.237-0.473-0.436-0.696-0.979: _( d( Y6 Z# Y/ X5 y
19-1.371-1.393-1.641-1.854-2.187-0.190-0.453-0.394-0.680-0.981
5 x# Y/ ?9 [( p9 M20-1.390-1.408-1.689-1.900-2.243-0.145-0.435-0.352-0.665-0.983
& V2 A! B7 M; s. r1 S  |0 B* S4 R21-1.410-1.422-1.739-1.945-2.298-0.101-0.418-0.308-0.651-0.986
& F7 R8 d& l: @- \, Q22-1.429-1.437-1.793-1.989-2.351-0.058-0.402-0.262-0.638-0.989; Y% x9 d6 G+ y; n( @
23-1.448-1.451-1.850-2.033-2.403-0.016-0.387-0.215-0.626-0.993( ~1 {& Y, C$ e4 P" L8 v
24-1.467-1.465-1.909-2.076-2.4520.024-0.374-0.166-0.614-0.997
3 `6 `& A. Z. Q0 k5 L* z25-1.486-1.479-1.972-2.117-2.5000.063-0.361-0.116-0.604-1.002: F- ~: H) y8 U7 n6 N3 T

從表可以看出,X=0時押莊的收益率和前一節計算出的有細微的差別,這是由于這里的計算是根據少牌或多牌的張數對1/13作修正來代替牌實際出現的概率造成的,但結果的精度還是相當高的。

由表可以得出結論,剩牌中“10”、“A”、“2”、“3”、“4”多,押莊的收益率減小,其中以“4”的影響最大,“10“最弱。

剩牌中“5”、“6”、“7”、“8”、“9”多,押莊的收益率增加,其中以“5”的影響最大,“9“最弱。 ——百家樂天地duchang888.com——>

但押莊的收益率隨X值的變化并不明顯,只有在極爲極端的情況下,才有收益率大于0的情況出現。 ——百家樂天地duchang888.com——>

爲便于認識每種牌對押莊收益率的改善程度,現在列出相對于X=0時押莊收益率的變化值。


& e" L  ~" @7 }4 |# `  ?/ W8 m" W表7-2-4 賭客的收益率和一副牌中每種牌多少的關系 X= 少牌或多牌的種類4 w, D( ^( j' {* o+ P2 @: ]7 y; m! L
10A234567899 s! q& |1 s( M# X  V' ~
-80.0610.1590.1980.1430.321-0.199-0.464-0.341-0.166-0.0952 I% d2 B1 n* y# E
-70.0560.1390.1700.1360.291-0.187-0.398-0.290-0.147-0.0821 \& S1 W1 w' v5 V5 T" L# D! {* R. t
-60.0510.1190.1440.1250.258-0.170-0.334-0.242-0.128-0.069
# C" }3 U7 k5 h  m4 a% k-50.0440.0980.1180.1110.222-0.149-0.272-0.197-0.107-0.056& a  M4 q+ `' ]; Z+ B- z' J5 I
-40.0370.0790.0930.0940.183-0.125-0.213-0.154-0.087-0.044
4 K- y) |+ }4 o-30.0290.0590.0690.0750.141-0.098-0.156-0.113-0.065-0.032
6 R2 \. @6 l* D( Z+ E7 P- f+ R-20.0200.0390.0460.0520.096-0.068-0.102-0.074-0.044-0.021
/ \  t& _+ u3 S-10.0100.0190.0230.0270.049-0.035-0.050-0.036-0.022-0.010' [- i! ?* P& H, ]( T
00.0000.0000.0000.0000.0000.0000.0000.0000.0000.000
- q3 M8 c/ Y! ]0 V8 Q0 f  H1-0.011-0.019-0.023-0.030-0.0510.0370.0480.0350.0220.010# w# @' {4 g# C4 w' z6 h' b
2-0.023-0.038-0.045-0.061-0.1050.0770.0940.0700.0450.019
; ~5 o, G3 m! Y1 l% C7 A/ S0 s- j9 A3-0.035-0.057-0.068-0.095-0.1600.1180.1370.1040.0670.028
) q+ H+ X1 q* X1 Q# D4 o4-0.049-0.076-0.091-0.131-0.2170.1610.1790.1370.0890.036
1 g+ s8 b/ b" V3 {: B5-0.062-0.094-0.115-0.168-0.2750.2050.2190.1700.1110.044
: s  d9 l4 P6 P7 j' a1 K6-0.077-0.112-0.139-0.207-0.3340.2500.2570.2020.1340.051
& Y+ J2 s# _; ^; _' |$ I) l6 x5 W7-0.092-0.130-0.164-0.248-0.3940.2970.2930.2350.1550.057
% K" u  L# D2 K5 @! M# P3 o6 @8-0.108-0.148-0.190-0.289-0.4550.3440.3280.2680.1770.063
7 I2 z. M% q) l2 _% ]/ p3 t9-0.124-0.166-0.217-0.332-0.5160.3920.3610.3010.1980.068
% l" s6 n: g, v2 r. z$ F10-0.140-0.183-0.245-0.376-0.5780.4400.3920.3350.2190.072
% ^$ h/ W, u+ d4 L3 T& U# D11-0.157-0.200-0.275-0.420-0.6400.4890.4220.3690.2400.076
7 g1 R. V7 O, e& p2 `. |3 W" P12-0.175-0.217-0.306-0.466-0.7020.5380.4500.4030.2600.079" N) z5 c$ E8 C. b" ~9 _8 v
13-0.193-0.234-0.339-0.512-0.7640.5870.4770.4380.2800.082
) K' v- d) c/ F7 Z3 P' B0 D6 |  J14-0.211-0.250-0.373-0.558-0.8260.6360.5020.4740.2990.084
' j7 S! G: n* B1 g7 ~2 S; e# F15-0.230-0.266-0.409-0.604-0.8870.6850.5260.5110.3170.085" V" w7 z# @; q
16-0.249-0.282-0.448-0.651-0.9470.7330.5490.5490.3350.085* [8 x' z  ~9 g% T
17-0.268-0.298-0.448-0.697-1.0070.7800.5710.5880.3520.085
' G  C4 O6 Z/ q5 P3 L18-0.287-0.313-0.531-0.744-1.0660.8270.5910.6280.3680.085% O% q- A4 \0 k! F+ E
19-0.307-0.329-0.577-0.790-1.1230.8740.6110.6700.3840.083
& z- k$ {# ?2 C! F9 x20-0.326-0.344-0.625-0.836-1.1790.9190.6290.7120.3990.081
* h3 }  [) o4 P" f( `$ }3 |) y21-0.346-0.358-0.675-0.881-1.2340.9630.6460.7560.4130.0788 N( i* k6 h% J" A# b" b' e
22-0.365-0.373-0.729-0.925-1.2871.0060.6620.8020.4260.075' v* X- [* C: Q2 L* V+ ^$ X$ @
23-0.384-0.387-0.786-0.969-1.3391.0480.6770.8490.4380.071
) l! m) u1 i0 L# b* m/ O24-0.403-0.401-0.845-1.012-1.3881.0880.6900.8980.4500.0670 W3 I1 C2 a% l9 c3 L
25-0.422-0.415-0.908-1.053-1.4361.1270.7030.9480.4600.062/ W" }% }5 o( o7 f* a( H

此表是總結百家樂算牌系統的依據。

二 閑 ——百家樂天地duchang888.com——>

研究百家樂的收益率是同時得到“莊”、“閑”、“和”的結果,爲了讀起來更方便,我們把“莊”、“閑”、“和”的結果分別列出來,下面是押閑的收益率和一副牌中每種牌多少的關系。

8 U6 H) I  \* z3 T- b
押閑的收益率和一副牌中每種牌多少的關系 X= 少牌或多牌的種類
4 K' S6 n1 c6 q8 L  z10A23456789% R% {8 v6 ?4 h) _
-8-1.285-1.389-1.432-1.373-1.558-1.024-0.759-0.884-1.044-1.122
4 S0 c) L* |  f/ T-7-1.280-1.369-1.404-1.366-1.528-1.038-0.827-0.936-1.066-1.137: @. }8 g# O1 p' m! E
-6-1.275-1.348-1.377-1.356-1.494-1.055-0.892-0.985-1.089-1.152' P7 t. h5 x9 J/ L8 C1 y& z
-5-1.269-1.328-1.350-1.342-1.457-1.076-0.954-1.031-1.111-1.166+ C2 r$ s: u2 r3 k# u5 {' \" \
-4-1.263-1.308-1.325-1.325-1.417-1.101-1.0141.074-1.134-1.180
& m2 b4 I* ^4 s7 b+ r-3-1.255-1.288-1.300-1.305-1.374-1.128-1.071-1.115-1.158-1.193& L* t5 B4 E, {
-2-1.247-1.268-1.276-1.282-1.328-1.159-1.126-1.155-1.181-1.205
6 T' c4 E1 i+ g, Q5 P& n2 Q-1-1.238-1.248-1.252-1.256-1.279-1.192-1.178-1.192-1.205-1.217
/ t/ M6 h3 N5 p8 X1 C- e8 F: {0-1.228-1.228-1.228-1.228-1.228-1.228-1.228-1.228-1.228-1.2286 [& @* V, u6 B7 b; X6 i
1-1.218-1.209-1.205-1.197-1.175-1.266-1.276-1.263-1.252-1.239. V* s7 H9 b; ^$ q4 c
2-1.206-1.189-1.181-1.164-1.120-1.306-1.321-1.297-1.275-1.2493 ?! {9 m4 ]+ _2 ^  Z7 h8 t
3-1.194-1.170-1.157-1.129-1.063-1.348-1.364-1.330-1.298-1.2580 e+ g4 {. V8 J+ O, T7 ~8 F
4-1.181-1.151-1.133-1.092-1.004-1.392-1.405-1.362-1.321-1.266# w/ y( _5 k2 W& x
5-1.168-1.132-1.108-1.053-0.944-1.437-1.444-1.394-1.344-1.274
& c! O* V- N, I* r. f* ~; ~6-1.153-1.114-1.083-1.012-0.883-1.483-1.482-1.426-1.367-1.281
$ Z9 S8 k* D" O7 A+ i0 {/ [1 l7-1.138-1.095-1.057-0.969-0.821-1.530-1.517-1.458-1.389-1.287" ~4 U/ i: p+ F- s( N5 C
8-1.123-1.077-1.030-0.926-0.758-1.578-1.551-1.489-1.411-1.293  _* c  P2 ?2 p3 ?* k! a
9-1.107-1.059-1.002-0.880-0.694-1.627-1.583-1.521-1.432-1.2980 t' x9 W8 \& Z( ]
10-1.090-1.042-0.972-0.834-0.630-1.676-1.613-1.553-1.453-1.302  n/ G$ d) |( p0 p6 a
11-1.072-1.024-0.941-0.787-0.566-1.726-1.641-1.586-1.473-1.306  V6 }( i, W, L2 x( ~
12-1.054-1.007-0.909-0.739-0.501-1.776-1.669-1.619-1.493-1.308
2 e1 n& P: `8 F( J) l$ T6 T13-1.035-0.990-0.875-0.690-0.437-1.825-1.694-1.653-1.512-1.310
$ Y' D$ y% J  `# \- N14-1.016-0.973-0.839-0.640-0.373-1.875-1.719-1.688-1.531-1.311
7 S) r! D2 a/ h( b& f- ?15-0.997-0.957-0.801-0.590-0.309-1.925-1.742-1.724-1.548-1.311
8 O. n; M* G/ a6 i2 }16-0.976-0.940-0.761-0.540-0.246-1.974-1.763-1.761-1.565-1.311; a8 [4 h3 E% }
17-0.956-0.924-0.718-0.489-0.184-2.022-1.784-1.799-1.581-1.310
5 }0 s( {9 ?2 C18-0.935-0.908-0.673-0.439-0.123-2.070-1.803-1.838-1.596-1.3080 c/ `# U; t6 W4 i
19-0.913-0.893-0.625-0.388-0.063-2.117-1.821-1.878-1.611-1.305, B: u/ y% ?& z$ m
20-0.891-0.877-0.575-0.338-0.004-2.163-1.838-1.920-1.624-1.301
* u  K( _- z& @; R9 m' `21-0.869-0.862-0.521-0.2880.054-0.207-1.854-1.963-1.636-1.297
; D0 i! G+ A: K' k% G22-0.847-0.847-0.465-0.2380.110-2.251-1.869-2.008-1.648-1.292
/ O, d0 I# a8 Y" k7 ^& u' Q% K23-0.824-0.832-0.405-0.1890.164-2.293-1.883-2.054-1.658-1.286
! l8 s; ~4 I6 B/ D7 S5 L5 |24-0.801-0.818-0.343-0.1400.217-2.334-1.896-2.101-1.667-1.279+ U7 G8 t: j% W% n2 N- q5 p5 k% Z
25-0.777-0.804-0.276-0.0920.268-2.374-1.907-2.151-1.675-1.2722 P) N4 {9 P& P* M8 W! x6 e5 c

 

由表可以得出結論,剩牌中“10”、“A”、“2”、“3”、“4”多,押閑的收益率增加,其中以“4”的影響最大,“10“最弱。剩牌中“5”、“6”、“7”、“8”、“9”多,押閑的收益率減少,其中以“5”的影響最大,“9“最弱。但押閑的收益率隨X值的變化也不明顯,只有在極爲極端的情況下,才有收益率大于0的情況出現。爲便于認識每種牌對押閑收益率的改善程度,同樣也列出相對于X=0時押閑的收益率的變化值。

avatar
每次赌钱必先看一下
avatar
但是这个帖子感觉没怎么看懂
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4#
我可能太笨了,不太懂,有谁看明白吗?楼主能不能简单一些
avatar
5#
主题回复处广告图案-天策传媒
我可能太笨了,不太懂,有谁看明白吗?
avatar
6#
似懂非懂………
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7#
我可能太笨了,不太懂,有谁看明白吗
avatar
双色球的概率是100000000000000000000000000000000分之一中奖,不还是有很多人买吗?所以楼主被老弄这么多虚无缥缈的东西来唬人行不。
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:) :( :D :'( :@ :o
:P :$ ;P :L :Q :lol
:loveliness: :funk: :curse: :dizzy: :shutup: :sleepy:
:hug: :victory: :time: :kiss: :handshake: :call:
:) :( :D :'( :@ :o
:P :$ ;P :L :Q :lol
:loveliness: :funk: :curse: :dizzy: :shutup: :sleepy:
:hug: :victory: :time: :kiss: :handshake: :call:
:hug: :victory:
:) :( :D :'( :@ :o
:P :$ ;P :L :Q :lol
:loveliness: :funk: :curse: :dizzy: :shutup: :sleepy:
:hug: :victory: :time: :kiss: :handshake: :call:
:hug: :victory: :time: :kiss: :handshake: :call:
:hug: :victory: :time: :kiss: :handshake: :call:
:hug: :victory: :time: :kiss: :handshake: :call:
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