Recommendations for choosing a demolition and the purpose of the game
COP - the average expected result of the game only shows the general approach to the solution of the task.
In a real game, everything is much more complicated.
On the one hand there are layouts where the whistlers remain "without" or refuse to play at all.
The player's gain is increased.
On the other hand, the player himself can remain not only without one, but without two.
Especially one can not consider all the layouts to be equally probable.
The distribution of the layouts depends to a large extent on the absence or availability of trade.
It is necessary first of all to take into account both the order of the move and everything else.
All this makes the CDF a rather complex process, which is very difficult to do without any computing tools.
In connection with this, the COP was calculated and the results of calculations are shown below in the form of tables.
These tables contain recommendations for selecting the demolition and purpose of the game.
Table 1 shows cases in which the player's hand contains at least one long suit (at least four cards in the same suit).
Table 2 shows only combinations of short suits.
In the column "Presence of trade" the following symbols are used: "+" - the purchase is received as a result of trade;
"-" - there was no trade.
If these signs are missing, it means that the recommendations do not depend on the absence or availability of trade.
Table 1
No. |
Player's balance |
Player's hand |
Availability of trade |
Recommendations |
||
Demolition |
Order |
|||||
1 |
♠ ♣ |
ТДВххххх TKDxx |
2.3 2.3 |
- + |
2 clubs |
10 peak 9th peak |
2 |
♠ ♣ |
ТДВххххх TKxxx |
2 3 |
2 peaks 2 clubs |
8 peak |
|
3 |
♠ ♣ ♦ |
ТДВххххх KDV Xx |
2.3
|
2 diamonds
|
8 peak
|
|
4 |
♠ ♣ ♦ |
ТДВххххх KB10 Xx |
2 3
|
2 diamonds
|
7th peak 8 peak
|
|
5 |
♠ ♣ |
ТКхххх KDxxxx |
2.3 2.3 |
- + |
2 peaks
|
9 clubs 8 clubs |
6th |
♠ ♣ ♦ |
ТКхххх TKxxx X |
1 2 3 |
Club Peak, tambourine Club |
9th peak 9 clubs 9th peak |
|
7th |
♠ ♣ ♦ |
ТКхххх KDVhx X |
2.3
|
Peak, tambourine
|
8 clubs
|
|
8 |
♠ ♣ ♦ |
TDxxxx Kxxx Tx |
Any
|
Club
|
7th peak
|
|
9 |
♠ ♣ ♦ |
TVxxxx TDB Xx |
Any
|
2 diamonds
|
8 peak
|
|
10 |
♠ ♣ ♦ |
TVxxxx TKhx Xx |
Any
|
2 diamonds
|
8 peak
|
|
eleven |
♠ ♣ ♦ |
TVxxxx Kxxx Xx |
1 2.3
|
2 diamonds
|
7th peak 6 peak
|
|
12 |
♠ ♣ ♦ |
KDxxxx TKhx CD |
1 2.3
|
2 clubs 2 diamonds
|
8 peak 7th peak
|
|
13 |
♠ ♣ ♦ |
ТКхххх KB10 Dxx |
2.3
|
2 diamonds
|
6 peak
|
|
14 |
♠ ♣ ♦ ♥ |
TDxxxx Kxx Tx X |
1 2.3
|
Tambourine
|
7th peak 6 peak
|
|
15 |
♠ ♣ ♦ |
KDxxxx TCD Dxx |
2.3
|
2 diamonds
|
8 peak
|
|
16 |
♠ ♣ ♦ |
KDxxxx TCD Вхх |
2.3
|
2 diamonds
|
7th peak
|
|
17th |
♠ ♣ ♦ |
TKDxx TKDxx Xx |
2.3
|
2 diamonds
|
9th peak
|
|
18 |
♠ ♣ ♦ |
TKDxx TDVxx Xx |
2.3
|
2 diamonds
|
8 or 9 clubs
|
|
19 |
♠ ♣ ♦ |
TKDxx KDxxx Xx |
1 2.3
|
2 diamonds
|
8 peak 8 clubs
|
|
20 |
♠ ♣ ♦ |
TKxxx TKxxx Xx |
1.3 2
|
2 diamonds
|
9 of any 8 of any
|
|
21 |
♠ ♣ ♦ |
TKxxx TVxxx Xx |
Any
|
2 diamonds
|
8 peak
|
|
22 |
♠ ♣ ♦ |
TKxxx KDVhx Xx |
2.3
|
2 diamonds
|
8 peak
|
|
23 |
♠ ♣ ♦ |
TKxxx KDxxx Xx |
1 2.3
|
2 diamonds
|
8 peak 8 clubs
|
|
24 |
♠ ♣ ♦ |
TKxxx Kxxxx Xx |
2.3
|
2 diamonds
|
7 clubs
|
|
25 |
♠ ♣ ♦ |
TDVxx TDVxx Xx |
2.3
|
- +
|
2 diamonds
|
7 or 8 of any 7 of any
|
26th |
♠ ♣ ♦ |
TDVxx TVxxx Xx |
Any
|
- +
|
2 diamonds
|
7-8 clubs 7 clubs
|
27th |
♠ ♣ ♦ |
KDVhx KDxxx Tx |
2.3
|
Peak, tambourine
|
7 clubs
|
|
28 |
♠ ♣ ♦ |
KDVhx KDxxx Xx |
1 2.3
|
2 diamonds
|
7 clubs 6 clubs
|
|
29 |
♠ ♣ ♦ ♥ |
TKxxx TKhx Tx X |
1 2.3
|
Tambourine
|
8 clubs 8 peak
|
|
thirty |
♠ ♣ ♦ ♥ |
TDVxx TKhx Tx X |
1 2.3
|
+
|
Tambourine
|
8 peak 7th peak
|
31 |
♠ ♣ ♦ ♥ |
TDxxx Txxx Tx X |
Any
|
Tambourine
|
7th peak
|
|
32 |
♠ ♣ ♦ ♥ |
Txxxx TKhx Tx T |
Any
|
Peak, tambourine
|
8 clubs
|
|
33 |
♠ ♣ ♦ |
Txxxx TKhx Txx |
1 1 2.3 |
- +
|
2 diamonds
|
8 clubs 7th peak 7th peak |
34 |
♠ ♣ ♦ ♥ |
Txxxx TKhx KDH |
1 1 2.3 |
- +
|
2 diamonds 2 clubs 2 clubs |
7 clubs 7th peak 7th peak |
35 |
♠ ♣ ♦ ♥ |
Txxxx TKhx CD X |
1 1 2.3
|
- +
|
Tambourine Club Club |
7 clubs 7th peak 7th peak
|
36 |
♠ ♣ ♦ ♥ |
KDVhx TKhx Tx X |
1 2.3
|
Tambourine
|
8 peak 7th peak
|
|
37 |
♠ ♣ ♦ ♥ |
TKxxx TKB Tx Xx |
Any
|
2 hearts
|
7-8 peak
|
|
38 |
♠ ♣ ♦ ♥ |
TKxxx TKH Tx Xx |
Any
|
2 hearts
|
7th peak
|
|
39 |
♠ ♣ ♦ ♥ |
TKxxx TC KDH Xx |
Any
|
2 hearts
|
7th peak
|
|
40 |
♠ ♣ ♦ ♥ |
TDVxx TC KDV Xx |
1 2.3
|
2 hearts
|
8 peak 7th peak
|
|
41 |
♠ ♣ ♦ ♥ |
Txxxx TKB TC Xx |
1 2.3
|
2 hearts
|
8 peak 7th peak
|
|
42 |
♠ ♣ ♦ ♥ |
Txxxx TKH TDH X |
Any
|
Club
|
7th peak
|
|
43 |
♠ ♣ ♦ ♥ |
KDVhx TDV TC Xx |
2 3 1
|
2 hearts
|
7th peak 7-8 peak 8 peak
|
|
44 |
♠ ♣ ♦ ♥ |
TKDV TKDh TD Xx |
1 2.3
|
2 hearts
|
9 BC 8-9 clubs
|
|
45 |
♠ ♣ ♦ ♥ |
TKDh TKDh TD Xx |
1 2.3
|
2 hearts
|
8 BC 8 of any
|
|
46 |
♠ ♣ ♦ ♥ |
TKDh TKDh CD Xx |
1 2.3
|
2 hearts
|
7-8 any 7 of any
|
|
47 |
♠ ♣ ♦ ♥ |
TKDh TKDh Xxx X |
Any
|
Tambourine
|
7 of any
|
|
48 |
♠ ♣ ♦ ♥ |
TKDh TKhx KDV X |
Any
|
Tambourine
|
7 clubs
|
|
49 |
♠ ♣ ♦ ♥ |
TKDh TKB10 Xxx X |
1 2.3
|
Tambourine
|
7th peak 7 clubs
|
|
50 |
♠ ♣ ♦ ♥ |
TKDh TKhx Xxx X |
Any
|
Tambourine
|
7 clubs
|
|
51 |
♠ ♣ ♦ ♥ |
TKDh TDB TC Xx |
1 2.3
|
2 hearts
|
8 clubs 7-8 clubs
|
|
52 |
♠ ♣ ♦ ♥ |
TKDh TDB CD Xx |
1 2.3
|
2 hearts
|
7 clubs 6 clubs
|
|
53 |
♠ ♣ ♦ ♥ |
TKDh TDxx Tx Xx |
Any
|
2 hearts
|
7 clubs
|
|
54 |
♠ ♣ ♦ ♥ |
TKDh KDV10 (9) TC Xx |
1 2.3
|
2 hearts
|
7-8 peak (At 9 clubs - a trump card) 7 clubs |
|
55 |
♠ ♣ ♦ ♥ |
TKDh KDxx Txx X |
1 2.3
|
Tambourine 2 tambourines
|
7 clubs 6-7 clubs
|
|
56 |
♠ ♣ ♦ ♥ |
TKB10 TKhx Txx X |
1 2.3
|
- +
|
Tambourine, worm 2 diamonds Tambourine
|
7 clubs
|
57 |
♠ ♣ ♦ ♥ |
TKhx TKhx Tx Tx |
Any
|
Tambourine
|
8 of any
|
|
58 |
♠ ♣ ♦ ♥ |
TKhx TKhx TKH X |
1 2.3
|
Tambourine
|
8 of any 7 of any
|
|
59 |
♠ ♣ ♦ ♥ |
TKhx TKhx KDV X |
1 2.3
|
Club
|
7th peak 6 peak
|
|
60 |
♠ ♣ ♦ ♥ |
TKhx TKhx CD Xx |
1 2.3
|
2 hearts
|
7 of any 6 of any
|
|
61 |
♠ ♣ ♦ ♥ |
TKhx TKhx Xx Xx |
Any
|
Tambourine
|
6 of any
|
|
62 |
♠ ♣ ♦ ♥ |
TKhx TDB Tx Xx |
1 2.3
|
2 hearts
|
7th peak 6 peak
|
|
63 |
♠ ♣ ♦ ♥ |
TKhx Txxx TC Xx |
Any
|
2 hearts
|
7 clubs
|
|
64 |
♠ ♣ ♦ ♥ |
TKhx TDxx Tx Tx |
1 2.3
|
Tambourine
|
7th peak 7 clubs
|
|
65 |
♠ ♣ ♦ ♥ |
TKhx TDxx Tx Xx |
Any
|
2 hearts
|
6 clubs
|
|
66 |
♠ ♣ ♦ ♥ |
TKhx Txxx TC CD |
Any
|
2 clubs
|
7th peak
|
|
67 |
♠ ♣ ♦ ♥ |
TKhx KDVH TCD X |
1 2.3
|
Club
|
8 peak 6 peak
|
|
68 |
♠ ♣ ♦ ♥ |
TKhx KDVH TKH T |
1 2.3
|
Peak, tambourine
|
8 BC 7 clubs
|
|
69 |
♠ ♣ ♦ ♥ |
TKhx KDVH Txx X |
1 2.3
|
- +
|
Tambourine 2 diamonds Tambourine
|
7th peak 6 peak 6 peak
|
70 |
♠ ♣ ♦ ♥ |
TKhx KDxx TKH X |
1 2.3
|
Tambourine
|
7th peak 7 clubs
|
|
71 |
♠ ♣ ♦ ♥ |
TKhx KB10x TC TC |
1 2.3
|
2 peaks
|
8 BC 7 clubs
|
|
72 |
♠ ♣ ♦ ♥ |
TDV10 TDB TC Xx |
Any
|
2 hearts
|
7 clubs
|
|
73 |
♠ ♣ ♦ ♥ |
TDB KDxx TC Xx |
Any
|
2 hearts
|
6 peak
|
|
74 |
♠ ♣ ♦ ♥ |
TDB KDxx TKH T |
Any
|
Peak, tambourine
|
7 clubs
|
|
75 |
♠ ♣ ♦ ♥ |
TBxx Txxx Tx Tx |
Any
|
Tambourine
|
6 peak
|
|
76 |
♠ ♣ ♦ ♥ |
TBxx KDxx TC Xx |
1 2.3
|
2 hearts
|
6 peak 6 clubs
|
|
77 |
♠ ♣ ♦ ♥ |
Txxx KDxx TC Xx |
Any
|
2 hearts
|
6 clubs
|
|
78 |
♠ ♣ ♦ ♥ |
KDVH KDVH TC TC |
1 2.3
|
2 peaks Peak, tambourine
|
8BK 7BK
|
|
79 |
♠ ♣ ♦ ♥ |
TKDh TCD KDV CD |
1 2.3
|
2 peaks Peak, tambourine
|
8BK 7BK
|
|
80 |
♠ ♣ ♦ ♥ |
TC109 TCD TC Txx |
1 2.3
|
2 hearts
|
9 BC 8-9 peak
|
|
81 |
♠ ♣ ♦ ♥ |
TKhx KDV KDV TC |
1 2.3
|
2 peaks
|
8BK 7BK
|
|
82 |
♠ ♣ ♦ ♥ |
TKhx TKH TDH Xx |
1 2.3
|
2 hearts
|
7th peak 6 peak
|
|
83 |
♠ ♣ ♦ ♥ |
TKhx TKH Txx Xx |
Any
|
- +
|
2 hearts 2 diamonds
|
6 peak
|
84 |
♠ ♣ ♦ ♥ |
TKhx KDV KDH TC |
1 2.3
|
Peak, tambourine 2 peaks
|
7BK 7BK
|
|
85 |
♠ ♣ ♦ ♥ |
TDV10 (9) TKH TKH Tx |
Any
|
Trefa, tambourine - At 10 times the peak, Tambourine, hearts - at 9 spades |
8 peak
|
|
86 |
♠ ♣ ♦ ♥ |
TDxx TKH TKH Xx |
Any
|
2 hearts
|
7th peak
|
|
87 |
♠ ♣ ♦ ♥ |
Txxx TKH TKH Xx |
1 2.3
|
2 hearts
|
6-7 peak 6 peak
|
|
88 |
♠ ♣ ♦ ♥ |
KDxx TCD TCD Tx |
2.3 1
|
Д треф or бубен, черва; Peak
|
8 peak
8BK
|
|
89 |
♠ ♣ ♦ ♥ |
KDxx TCD TCD CD |
1 2.3
|
2 peaks
|
8BK 7BK
|
|
90 |
♠ ♣ ♦ ♥ |
KDxx TCD TCD Xx |
1 2.3
|
2 hearts
|
8 peak 7th peak
|
|
91 |
♠ ♣ ♦ ♥ |
KB10x TCD KDV TC |
1.3 2
|
2 peaks
|
7BK 6BK
|
|
92 |
♠ ♣ ♦ ♥ |
Kxxx TCD TCD Xx |
1 2.3
|
2 hearts
|
7th peak 6 peak
|
How do I read a spreadsheet?
Consider several examples.
Example 5
In this scenario, difficulties arise only on the 2nd or 3rd hand. Here you can recommend to demolish 2 peaks and in the absence of trade to appoint "9 clubs", and if it is available, assign "8 clubs".
Example 12
At the course it is necessary to demolish 2 clubs and assign "8 spades", at a strange move 2 diamonds are knocked down and 7 rush are assigned.
Example 18
In this example, in any case, 2 diamonds are knocked and on 2, 3 hands are assigned 8 or 9 clubs to choose from. The COP of the eight and nine games is approximately equal.
table 2
No. |
Player's balance |
Player's hand |
Availability of trade |
Recommendations |
||
Demolition |
Order |
|||||
1 |
♠ ♣ ♦ ♥ |
TCD TCD TCD Dxx |
1 2.3
|
2 hearts 2 any ladies
|
9BK 7BK
|
|
2 |
♠ ♣ ♦ ♥ |
TCD TCD TDV KDV |
1 2 3
|
2 diamonds 2 jacks 2 jack
|
8BK 7BK
|
|
3 |
♠ ♣ ♦ ♥ |
TCD TCD KDV KDV |
1 2.3
|
Peak, club Tambourine
|
8BK 7BK
|
|
4 |
♠ ♣ ♦ ♥ |
D TKB TDH TDH |
Any
|
Tambourine
|
8BK
|
|
5 |
♠ ♣ ♦ ♥ |
TCD TKH Txx KDV |
1 2.3
|
2 diamonds Club
|
8BK 7BK
|
|
6th |
♠ ♣ ♦ ♥ |
TKB TKB TKH Txx |
1 2.3
|
2 hearts
|
8BK 7BK
|
|
7th |
♠ ♣ ♦ ♥ |
TKB TKH TKH Txx |
Any
|
Club
|
7BK
|
|
8 |
♠ ♣ ♦ ♥ |
TKB TKH TKH DV10 |
Any
|
Club
|
7BK
|
|
9 |
♠ ♣ ♦ ♥ |
TK10 TKH TKH DV10 |
1.3 2
|
Club
|
7BK 6-7BK
|
|
10 |
♠ ♣ ♦ ♥ |
TKH TKH TKH Xxx |
Any
2.3
|
-
+
|
One of the first suits of clubs, tambourines |
6BK
6 peak
|
eleven |
♠ ♣ ♦ ♥ |
TKB TKH TDH TDH |
Any
|
Tambourine
|
7BK
|
|
12 |
♠ ♣ ♦ ♥ |
TKH TKH KDV KDV |
1 2.3
|
Peak, club
|
8BK 7BK
|
|
13 |
♠ ♣ ♦ ♥ |
TKB TDV TDH TDH |
1.3 2
|
Tambourine
|
7BK 6BK
|
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