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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