Study 8J05 Main |
| by Richard Pavlicek |
A common decision is whether to place the contract in notrump or a suit fit. Most often this is a choice between 3 NT and four of a major, but the decision can apply to any suit fit at any level. This study considers the problem from the perspective of hand patterns. Other factors certainly apply, such as the ability to obtain a useful ruff, and the presence or lack of stoppers, but for now assume these to be equal or indeterminable. Which partnership patterns are better for notrump? Which for suit play? And by what percent do they differ?
3 NT or 4 of Major | 1 NT or 2 of Suit | 2 NT or 3 of Suit | 6 NT or 6 of Suit |
Results were obtained from a database of 10,485,760 solved deals. Only partnerships with an 8 or 9-card fit, no suit over six cards, and no singleton or void were considered, as the lack of a fit clearly favors notrump, and a 7+ card suit or splinter clearly favors suit play. To obtain maximal data, both sides (N-S and E-W) of each deal were analyzed, and the fit could be anywhere (suit identity is irrelevant). Makable tricks are determined at double-dummy, and each contract is right-sided if it matters which hand is declarer.
To facilitate interpretation, all results are transposed to West and East with the fit in spades and West having the greater spade length (or greater freakness if a 4-4 fit). Listing is in order of frequency of the paired hand patterns (irrespective of makes) in the database, which is likely to be the theoretical frequency as well. West patterns are shown in generic order: fit suit (spades), longest other suit, next longest, shortest. East patterns are matched suit-by-suit to West.
Study 8J05 Main | Top Notrump or Suit Fit? |
If game but not slam is makable in notrump or spades, this table shows the percent of the time that only 3 NT makes, only 4 makes, and both games make for each pair of hand patterns; i.e., percents in each row must total 100. Times shows the number of occasions the paired hand patterns qualified for this table. Tinted rows show cases where 3 NT makes more often than 4 .
The data strongly supports the accepted practice of not using Stayman with 4-3-3-3 shape, as 3 NT is superior regardless of openers shape (if balanced). Note Cases 1, 3, 6, 7 and 56. Even in Case 12 with a nine-card spade fit, notrump is the big winner.
A similar diagnosis occurs after a Jacoby transfer and a follow-up in notrump, giving opener a choice of contracts. Traditional strategy is to choose 3 NT with a doubleton, or the major with 3+ trumps. Not the best advice! Cases 3, 6, 7 and 12 show that with 4-3-3-3 shape opener should generally choose notrump, even with a four-card major fit. A caveat is that transfer bidder will not always be 5-3-3-2, but note that Cases 8 and 9 (5-4-2-2) only slightly favor suit play.
If neither hand is 4-3-3-3, or if either hand is unbalanced (5-4-2-2 or 6-3-2-2), the major-suit game is superior except curiously in Cases 29 and 45. Note how the major-suit advantage soars when the two hands have matching doubletons (Cases 14, 26, 32, ).
Case | West | East | 3 NT only | 4 only | Both make | Times |
---|---|---|---|---|---|---|
1 | 4=4=3=2 | 4=3=3=3 | 23.33 | 16.94 | 59.73 | 84,642 |
2 | 4=4=3=2 | 4=2=3=4 | 16.05 | 18.36 | 65.58 | 40,966 |
3 | 5=3=3=2 | 3=3=3=4 | 35.93 | 3.51 | 60.57 | 45,324 |
4 | 4=4=3=2 | 4=2=4=3 | 14.71 | 25.67 | 59.62 | 37,033 |
5 | 4=4=3=2 | 4=3=2=4 | 14.87 | 26.14 | 58.98 | 36,685 |
6 | 5=3=3=2 | 3=4=3=3 | 26.43 | 13.86 | 59.71 | 38,911 |
7 | 5=3=3=2 | 3=3=4=3 | 26.98 | 14.24 | 58.78 | 38,545 |
8 | 5=4=2=2 | 3=3=3=4 | 18.41 | 19.51 | 62.08 | 31,322 |
9 | 5=4=2=2 | 3=3=4=3 | 18.60 | 19.81 | 61.59 | 31,126 |
10 | 5=3=3=2 | 3=2=4=4 | 18.46 | 20.04 | 61.50 | 31,024 |
11 | 5=3=3=2 | 3=4=2=4 | 18.94 | 20.10 | 60.96 | 30,971 |
12 | 5=3=3=2 | 4=3=3=3 | 28.80 | 9.66 | 61.54 | 28,725 |
13 | 5=4=2=2 | 3=2=4=4 | 15.39 | 16.37 | 68.23 | 28,465 |
14 | 4=4=3=2 | 4=3=4=2 | 11.12 | 44.91 | 43.98 | 21,129 |
15 | 5=3=3=2 | 4=2=3=4 | 9.45 | 26.55 | 64.00 | 24,909 |
16 | 4=5=2=2 | 4=2=3=4 | 9.17 | 39.23 | 51.60 | 24,662 |
17 | 5=3=3=2 | 4=3=2=4 | 9.38 | 26.18 | 64.44 | 24,700 |
18 | 4=5=2=2 | 4=2=4=3 | 9.39 | 38.95 | 51.66 | 24,516 |
19 | 5=3=3=2 | 3=2=3=5 | 18.51 | 20.82 | 60.67 | 24,082 |
20 | 5=3=3=2 | 3=3=2=5 | 18.65 | 20.57 | 60.78 | 23,908 |
21 | 5=3=3=2 | 4=4=2=3 | 9.06 | 35.81 | 55.13 | 21,897 |
22 | 5=3=3=2 | 4=2=4=3 | 8.93 | 35.94 | 55.13 | 21,594 |
23 | 5=4=2=2 | 4=3=3=3 | 9.26 | 32.95 | 57.79 | 21,585 |
24 | 5=4=2=2 | 4=2=3=4 | 4.36 | 41.38 | 54.26 | 21,674 |
25 | 5=4=2=2 | 4=2=4=3 | 4.49 | 41.14 | 54.37 | 21,800 |
26 | 5=3=3=2 | 3=4=4=2 | 10.64 | 48.86 | 40.51 | 20,747 |
27 | 5=4=2=2 | 3=2=5=3 | 12.25 | 28.41 | 59.34 | 19,802 |
28 | 5=4=2=2 | 3=2=3=5 | 12.74 | 28.53 | 58.73 | 19,602 |
29 | 6=3=2=2 | 2=3=4=4 | 22.47 | 12.75 | 64.78 | 19,169 |
30 | 6=3=2=2 | 3=3=3=4 | 16.73 | 19.82 | 63.45 | 18,309 |
31 | 6=3=2=2 | 3=3=4=3 | 17.03 | 20.28 | 62.69 | 18,393 |
32 | 5=3=3=2 | 4=3=4=2 | 8.81 | 47.24 | 43.95 | 15,918 |
33 | 5=3=3=2 | 4=4=3=2 | 8.98 | 47.89 | 43.13 | 15,613 |
34 | 6=3=2=2 | 2=4=4=3 | 17.33 | 23.96 | 58.71 | 16,846 |
35 | 6=3=2=2 | 2=4=3=4 | 17.30 | 24.07 | 58.63 | 16,692 |
36 | 5=3=3=2 | 4=2=2=5 | 3.39 | 50.79 | 45.82 | 14,709 |
37 | 6=3=2=2 | 3=4=3=3 | 13.49 | 30.40 | 56.11 | 15,667 |
38 | 5=4=2=2 | 4=3=2=4 | 3.38 | 56.49 | 40.13 | 13,663 |
39 | 5=4=2=2 | 4=3=4=2 | 3.36 | 57.81 | 38.83 | 13,587 |
40 | 4=4=3=2 | 4=4=2=3 | 8.20 | 36.57 | 55.22 | 13,458 |
41 | 5=4=2=2 | 3=3=5=2 | 6.87 | 57.20 | 35.93 | 13,041 |
42 | 6=3=2=2 | 3=2=4=4 | 7.23 | 28.79 | 63.98 | 14,892 |
43 | 5=4=2=2 | 3=3=2=5 | 7.19 | 56.04 | 36.77 | 13,177 |
44 | 4=5=2=2 | 4=3=3=3 | 7.54 | 39.72 | 52.74 | 12,027 |
45 | 6=3=2=2 | 2=3=3=5 | 20.25 | 19.69 | 60.06 | 12,762 |
46 | 6=3=2=2 | 2=3=5=3 | 20.06 | 20.24 | 59.69 | 12,739 |
47 | 5=3=3=2 | 3=2=5=3 | 10.76 | 32.92 | 56.32 | 11,009 |
48 | 5=4=2=2 | 4=4=3=2 | 2.29 | 59.57 | 38.14 | 10,343 |
49 | 5=4=2=2 | 4=4=2=3 | 2.75 | 59.29 | 37.95 | 10,418 |
50 | 5=4=2=2 | 3=4=3=3 | 9.65 | 37.32 | 53.04 | 9505 |
51 | 4=4=3=2 | 4=4=3=2 | 9.85 | 44.52 | 45.64 | 8572 |
52 | 6=3=2=2 | 3=4=4=2 | 8.53 | 51.66 | 39.81 | 10,166 |
53 | 5=4=2=2 | 4=2=5=2 | 1.29 | 70.75 | 27.96 | 9850 |
54 | 5=4=2=2 | 4=2=2=5 | 1.14 | 69.83 | 29.03 | 9803 |
55 | 6=3=2=2 | 3=4=2=4 | 8.51 | 50.67 | 40.82 | 9945 |
56 | 4=3=3=3 | 4=3=3=3 | 47.35 | 0.88 | 51.77 | 9121 |
57 | 6=3=2=2 | 3=2=5=3 | 5.62 | 38.66 | 55.72 | 10,001 |
58 | 6=3=2=2 | 3=2=3=5 | 5.75 | 38.13 | 56.12 | 10,045 |
59 | 6=3=2=2 | 2=2=5=4 | 16.51 | 22.38 | 61.10 | 9847 |
60 | 6=3=2=2 | 2=2=4=5 | 16.38 | 21.70 | 61.92 | 9845 |
61 | 5=3=3=2 | 4=5=2=2 | 2.24 | 67.11 | 30.65 | 8073 |
62 | 5=3=3=2 | 4=2=5=2 | 1.81 | 66.53 | 31.66 | 8074 |
63 | 5=3=3=2 | 3=3=5=2 | 7.73 | 51.97 | 40.30 | 8476 |
64 | 4=5=2=2 | 4=3=2=4 | 3.14 | 59.44 | 37.41 | 7286 |
65 | 4=5=2=2 | 4=3=4=2 | 3.07 | 59.94 | 36.99 | 7227 |
66 | 6=3=2=2 | 3=3=2=5 | 7.83 | 52.02 | 40.14 | 7837 |
67 | 6=3=2=2 | 3=3=5=2 | 7.76 | 52.22 | 40.03 | 7840 |
68 | 5=4=2=2 | 3=4=2=4 | 3.69 | 60.70 | 35.60 | 7016 |
69 | 5=4=2=2 | 3=4=4=2 | 3.18 | 61.25 | 35.57 | 6798 |
70 | 6=3=2=2 | 2=4=2=5 | 9.36 | 53.25 | 37.39 | 6836 |
71 | 5=3=3=2 | 3=5=2=3 | 9.47 | 34.42 | 56.11 | 7083 |
72 | 6=3=2=2 | 2=4=5=2 | 8.29 | 52.82 | 38.89 | 6825 |
73 | 6=3=2=2 | 3=5=3=2 | 5.71 | 57.77 | 36.53 | 5782 |
74 | 6=3=2=2 | 3=5=2=3 | 5.69 | 58.30 | 36.00 | 5619 |
75 | 4=5=2=2 | 4=2=2=5 | 2.96 | 70.10 | 26.94 | 5669 |
76 | 4=5=2=2 | 4=2=5=2 | 3.06 | 70.06 | 26.89 | 5430 |
77 | 5=3=3=2 | 3=5=3=2 | 7.73 | 53.87 | 38.40 | 5292 |
78 | 6=3=2=2 | 2=5=3=3 | 9.01 | 35.47 | 55.52 | 4861 |
79 | 5=3=3=2 | 3=2=2=6 | 9.56 | 37.06 | 53.38 | 4822 |
80 | 5=4=2=2 | 3=2=2=6 | 4.72 | 60.86 | 34.42 | 3896 |
81 | 6=3=2=2 | 3=2=2=6 | 2.30 | 59.96 | 37.74 | 3132 |
82 | 6=3=2=2 | 3=2=6=2 | 2.86 | 58.78 | 38.36 | 3042 |
83 | 6=3=2=2 | 2=5=4=2 | 5.11 | 57.55 | 37.33 | 2933 |
84 | 6=3=2=2 | 2=5=2=4 | 6.01 | 57.23 | 36.75 | 2827 |
85 | 5=4=2=2 | 3=2=6=2 | 2.97 | 63.77 | 33.26 | 2730 |
86 | 6=3=2=2 | 2=2=3=6 | 12.10 | 27.15 | 60.75 | 2777 |
87 | 6=3=2=2 | 2=3=2=6 | 9.95 | 49.63 | 40.42 | 2291 |
88 | 5=4=2=2 | 4=5=2=2 | 0.00 | 84.27 | 15.73 | 1806 |
89 | 6=3=2=2 | 2=2=6=3 | 10.60 | 31.88 | 57.52 | 2067 |
90 | 6=3=2=2 | 2=3=6=2 | 9.54 | 52.44 | 38.02 | 1636 |
91 | 6=3=2=2 | 3=6=2=2 | 1.25 | 72.53 | 26.22 | 801 |
Average for 91 Cases | 14.31 | 31.36 | 54.33 | 15,453 | ||
Total Times | 201,292 | 440,934 | 764,036 | 1,406,262 |
Study 8J05 Main | Top Notrump or Suit Fit? |
If 1 NT or 2 (but not 2 NT or 3 ) is makable, this table shows the percent of the time that only 1 NT makes, only 2 makes, and both contracts make for each pair of hand patterns; i.e., percents in each row must total 100. Times shows the number of occasions the paired hand patterns qualified for this table.
The dominant message here is that at low levels the suit fit is always better, except with mirror 4-3-3-3 patterns (Case 56). Obviously this is because fewer high cards make notrump more demanding (stoppers, timing, etc.) while a trump fit has the same ruffing ability at any level.
Case | West | East | 1 NT only | 2 only | Both make | Times |
---|---|---|---|---|---|---|
1 | 4=4=3=2 | 4=3=3=3 | 16.06 | 44.16 | 39.78 | 79,803 |
2 | 4=4=3=2 | 4=2=3=4 | 9.91 | 52.34 | 37.75 | 35,538 |
3 | 5=3=3=2 | 3=3=3=4 | 26.93 | 27.72 | 45.34 | 32,760 |
4 | 4=4=3=2 | 4=2=4=3 | 7.87 | 65.22 | 26.92 | 31,513 |
5 | 4=4=3=2 | 4=3=2=4 | 7.81 | 65.24 | 26.95 | 31,270 |
6 | 5=3=3=2 | 3=4=3=3 | 19.54 | 42.94 | 37.52 | 30,302 |
7 | 5=3=3=2 | 3=3=4=3 | 19.41 | 43.21 | 37.38 | 30,490 |
8 | 5=4=2=2 | 3=3=3=4 | 10.49 | 58.85 | 30.65 | 25,129 |
9 | 5=4=2=2 | 3=3=4=3 | 10.30 | 59.16 | 30.55 | 25,007 |
10 | 5=3=3=2 | 3=2=4=4 | 10.91 | 57.01 | 32.07 | 23,712 |
11 | 5=3=3=2 | 3=4=2=4 | 10.74 | 56.01 | 33.25 | 23,778 |
12 | 5=3=3=2 | 4=3=3=3 | 16.57 | 45.79 | 37.65 | 24,037 |
13 | 5=4=2=2 | 3=2=4=4 | 9.61 | 53.63 | 36.76 | 20,824 |
14 | 4=4=3=2 | 4=3=4=2 | 5.03 | 70.90 | 24.07 | 24,953 |
15 | 5=3=3=2 | 4=2=3=4 | 2.70 | 72.06 | 25.24 | 20,938 |
16 | 4=5=2=2 | 4=2=3=4 | 4.20 | 76.55 | 19.25 | 19,059 |
17 | 5=3=3=2 | 4=3=2=4 | 2.61 | 70.97 | 26.43 | 21,066 |
18 | 4=5=2=2 | 4=2=4=3 | 4.13 | 76.40 | 19.47 | 18,983 |
19 | 5=3=3=2 | 3=2=3=5 | 11.10 | 53.76 | 35.14 | 18,778 |
20 | 5=3=3=2 | 3=3=2=5 | 10.52 | 53.73 | 35.75 | 18,703 |
21 | 5=3=3=2 | 4=4=2=3 | 2.74 | 77.83 | 19.43 | 17,957 |
22 | 5=3=3=2 | 4=2=4=3 | 2.86 | 77.82 | 19.32 | 17,641 |
23 | 5=4=2=2 | 4=3=3=3 | 2.91 | 75.76 | 21.33 | 17,650 |
24 | 5=4=2=2 | 4=2=3=4 | 0.94 | 88.32 | 10.74 | 15,505 |
25 | 5=4=2=2 | 4=2=4=3 | 1.01 | 88.01 | 10.97 | 15,273 |
26 | 5=3=3=2 | 3=4=4=2 | 6.95 | 72.54 | 20.51 | 19,069 |
27 | 5=4=2=2 | 3=2=5=3 | 6.27 | 67.24 | 26.50 | 14,299 |
28 | 5=4=2=2 | 3=2=3=5 | 6.35 | 66.30 | 27.35 | 14,535 |
29 | 6=3=2=2 | 2=3=4=4 | 14.03 | 52.22 | 33.76 | 14,160 |
30 | 6=3=2=2 | 3=3=3=4 | 9.41 | 59.10 | 31.49 | 12,937 |
31 | 6=3=2=2 | 3=3=4=3 | 9.55 | 59.12 | 31.33 | 12,944 |
32 | 5=3=3=2 | 4=3=4=2 | 6.04 | 74.02 | 19.94 | 14,957 |
33 | 5=3=3=2 | 4=4=3=2 | 6.04 | 73.15 | 20.81 | 15,057 |
34 | 6=3=2=2 | 2=4=4=3 | 10.63 | 64.68 | 24.69 | 12,545 |
35 | 6=3=2=2 | 2=4=3=4 | 11.38 | 64.14 | 24.48 | 12,476 |
36 | 5=3=3=2 | 4=2=2=5 | 0.60 | 91.64 | 7.76 | 10,731 |
37 | 6=3=2=2 | 3=4=3=3 | 8.44 | 68.76 | 22.80 | 11,206 |
38 | 5=4=2=2 | 4=3=2=4 | 0.73 | 87.23 | 12.04 | 12,195 |
39 | 5=4=2=2 | 4=3=4=2 | 0.81 | 86.52 | 12.67 | 12,043 |
40 | 4=4=3=2 | 4=4=2=3 | 3.26 | 77.04 | 19.70 | 12,406 |
41 | 5=4=2=2 | 3=3=5=2 | 3.34 | 80.95 | 15.71 | 12,235 |
42 | 6=3=2=2 | 3=2=4=4 | 2.70 | 76.64 | 20.67 | 9750 |
43 | 5=4=2=2 | 3=3=2=5 | 3.49 | 80.86 | 15.65 | 12,139 |
44 | 4=5=2=2 | 4=3=3=3 | 3.40 | 75.07 | 21.53 | 9531 |
45 | 6=3=2=2 | 2=3=3=5 | 10.59 | 59.77 | 29.63 | 9968 |
46 | 6=3=2=2 | 2=3=5=3 | 10.38 | 60.39 | 29.24 | 9706 |
47 | 5=3=3=2 | 3=2=5=3 | 3.67 | 69.89 | 26.45 | 8700 |
48 | 5=4=2=2 | 4=4=3=2 | 1.14 | 87.97 | 10.89 | 8663 |
49 | 5=4=2=2 | 4=4=2=3 | 1.59 | 88.09 | 10.31 | 8667 |
50 | 5=4=2=2 | 3=4=3=3 | 3.24 | 76.35 | 20.42 | 9086 |
51 | 4=4=3=2 | 4=4=3=2 | 3.92 | 71.37 | 24.71 | 10,821 |
52 | 6=3=2=2 | 3=4=4=2 | 4.43 | 80.91 | 14.67 | 7705 |
53 | 5=4=2=2 | 4=2=5=2 | 0.19 | 96.41 | 3.40 | 7332 |
54 | 5=4=2=2 | 4=2=2=5 | 0.21 | 96.85 | 2.94 | 7268 |
55 | 6=3=2=2 | 3=4=2=4 | 4.59 | 80.15 | 15.26 | 7576 |
56 | 4=3=3=3 | 4=3=3=3 | 56.90 | 4.19 | 38.91 | 8633 |
57 | 6=3=2=2 | 3=2=5=3 | 1.85 | 82.47 | 15.68 | 6959 |
58 | 6=3=2=2 | 3=2=3=5 | 2.05 | 82.79 | 15.15 | 6910 |
59 | 6=3=2=2 | 2=2=5=4 | 8.77 | 62.29 | 28.94 | 7443 |
60 | 6=3=2=2 | 2=2=4=5 | 8.50 | 62.95 | 28.55 | 7237 |
61 | 5=3=3=2 | 4=5=2=2 | 0.59 | 89.26 | 10.15 | 7161 |
62 | 5=3=3=2 | 4=2=5=2 | 0.65 | 89.94 | 9.42 | 7285 |
63 | 5=3=3=2 | 3=3=5=2 | 5.86 | 73.34 | 20.80 | 7970 |
64 | 4=5=2=2 | 4=3=2=4 | 1.17 | 89.29 | 9.54 | 6575 |
65 | 4=5=2=2 | 4=3=4=2 | 1.00 | 89.06 | 9.94 | 6511 |
66 | 6=3=2=2 | 3=3=2=5 | 3.83 | 78.79 | 17.38 | 6168 |
67 | 6=3=2=2 | 3=3=5=2 | 3.55 | 78.70 | 17.75 | 5995 |
68 | 5=4=2=2 | 3=4=2=4 | 1.02 | 88.83 | 10.15 | 6382 |
69 | 5=4=2=2 | 3=4=4=2 | 1.13 | 90.03 | 8.84 | 6179 |
70 | 6=3=2=2 | 2=4=2=5 | 4.46 | 81.35 | 14.18 | 6098 |
71 | 5=3=3=2 | 3=5=2=3 | 3.25 | 72.40 | 24.35 | 5782 |
72 | 6=3=2=2 | 2=4=5=2 | 4.56 | 81.34 | 14.09 | 6068 |
73 | 6=3=2=2 | 3=5=3=2 | 2.70 | 84.55 | 12.75 | 4596 |
74 | 6=3=2=2 | 3=5=2=3 | 2.58 | 84.42 | 13.00 | 4763 |
75 | 4=5=2=2 | 4=2=2=5 | 1.08 | 91.96 | 6.96 | 4712 |
76 | 4=5=2=2 | 4=2=5=2 | 0.99 | 91.97 | 7.04 | 4770 |
77 | 5=3=3=2 | 3=5=3=2 | 5.71 | 74.44 | 19.85 | 5184 |
78 | 6=3=2=2 | 2=5=3=3 | 4.24 | 77.40 | 18.36 | 4031 |
79 | 5=3=3=2 | 3=2=2=6 | 4.20 | 69.96 | 25.84 | 3189 |
80 | 5=4=2=2 | 3=2=2=6 | 1.89 | 85.71 | 12.40 | 2968 |
81 | 6=3=2=2 | 3=2=2=6 | 0.46 | 91.33 | 8.21 | 2387 |
82 | 6=3=2=2 | 3=2=6=2 | 0.69 | 91.79 | 7.52 | 2326 |
83 | 6=3=2=2 | 2=5=4=2 | 2.07 | 86.05 | 11.88 | 2517 |
84 | 6=3=2=2 | 2=5=2=4 | 2.80 | 84.74 | 12.47 | 2503 |
85 | 5=4=2=2 | 3=2=6=2 | 1.74 | 87.37 | 10.89 | 2066 |
86 | 6=3=2=2 | 2=2=3=6 | 4.50 | 71.21 | 24.30 | 2202 |
87 | 6=3=2=2 | 2=3=2=6 | 3.62 | 77.83 | 18.55 | 2043 |
88 | 5=4=2=2 | 4=5=2=2 | 0.13 | 95.32 | 4.55 | 1581 |
89 | 6=3=2=2 | 2=2=6=3 | 5.15 | 72.26 | 22.58 | 1572 |
90 | 6=3=2=2 | 2=3=6=2 | 3.68 | 78.42 | 17.90 | 1469 |
91 | 6=3=2=2 | 3=6=2=2 | 0.00 | 94.92 | 5.08 | 650 |
Average for 91 Cases | 8.44 | 65.72 | 25.84 | 12,662 | ||
Total Times | 97,271 | 757,267 | 297,723 | 1,152,261 |
Study 8J05 Main | Top Notrump or Suit Fit? |
If 2 NT or 3 (but not 3 NT or 4 ) is makable, this table shows the percent of the time that only 2 NT makes, only 3 makes, and both contracts make for each pair of hand patterns; i.e., percents in each row must total 100. Times shows the number of occasions the paired hand patterns qualified for this table. Tinted rows show cases where 2 NT makes more often than 3 .
As one might expect, this data falls between the previous two tables. Like 3 NT, the notorious 4-3-3-3 shape suggests ignoring the suit fit to play 2 NT, but to a lesser degree. Note the flip-flop in Case 1 and the resounding return to normalcy in Cases 29 and 45.
Case | West | East | 2 NT only | 3 only | Both make | Times |
---|---|---|---|---|---|---|
1 | 4=4=3=2 | 4=3=3=3 | 26.87 | 29.48 | 43.65 | 66,624 |
2 | 4=4=3=2 | 4=2=3=4 | 17.05 | 36.38 | 46.57 | 31,626 |
3 | 5=3=3=2 | 3=3=3=4 | 43.42 | 13.15 | 43.43 | 28,221 |
4 | 4=4=3=2 | 4=2=4=3 | 13.12 | 54.08 | 32.80 | 28,858 |
5 | 4=4=3=2 | 4=3=2=4 | 13.50 | 53.59 | 32.91 | 28,672 |
6 | 5=3=3=2 | 3=4=3=3 | 33.25 | 29.06 | 37.69 | 25,217 |
7 | 5=3=3=2 | 3=3=4=3 | 32.58 | 29.22 | 38.20 | 25,288 |
8 | 5=4=2=2 | 3=3=3=4 | 17.56 | 45.72 | 36.72 | 22,294 |
9 | 5=4=2=2 | 3=3=4=3 | 17.14 | 45.83 | 37.03 | 22,374 |
10 | 5=3=3=2 | 3=2=4=4 | 17.92 | 45.50 | 36.58 | 21,449 |
11 | 5=3=3=2 | 3=4=2=4 | 18.22 | 44.57 | 37.22 | 21,330 |
12 | 5=3=3=2 | 4=3=3=3 | 29.58 | 28.53 | 41.89 | 20,380 |
13 | 5=4=2=2 | 3=2=4=4 | 14.90 | 42.98 | 42.12 | 19,898 |
14 | 4=4=3=2 | 4=3=4=2 | 7.36 | 67.49 | 25.15 | 19,248 |
15 | 5=3=3=2 | 4=2=3=4 | 5.72 | 55.28 | 38.99 | 17,904 |
16 | 4=5=2=2 | 4=2=3=4 | 7.44 | 68.00 | 24.56 | 19,066 |
17 | 5=3=3=2 | 4=3=2=4 | 5.72 | 55.44 | 38.84 | 17,944 |
18 | 4=5=2=2 | 4=2=4=3 | 6.80 | 68.52 | 24.68 | 18,785 |
19 | 5=3=3=2 | 3=2=3=5 | 18.75 | 41.16 | 40.09 | 15,777 |
20 | 5=3=3=2 | 3=3=2=5 | 18.85 | 39.64 | 41.50 | 15,816 |
21 | 5=3=3=2 | 4=4=2=3 | 5.27 | 67.51 | 27.22 | 17,150 |
22 | 5=3=3=2 | 4=2=4=3 | 5.05 | 67.41 | 27.55 | 17,006 |
23 | 5=4=2=2 | 4=3=3=3 | 5.41 | 64.83 | 29.76 | 16,882 |
24 | 5=4=2=2 | 4=2=3=4 | 1.73 | 82.22 | 16.06 | 16,576 |
25 | 5=4=2=2 | 4=2=4=3 | 1.83 | 81.78 | 16.39 | 16,539 |
26 | 5=3=3=2 | 3=4=4=2 | 11.03 | 66.35 | 22.62 | 14,394 |
27 | 5=4=2=2 | 3=2=5=3 | 10.33 | 57.68 | 31.99 | 14,068 |
28 | 5=4=2=2 | 3=2=3=5 | 10.49 | 56.61 | 32.91 | 13,873 |
29 | 6=3=2=2 | 2=3=4=4 | 23.79 | 39.52 | 36.69 | 11,998 |
30 | 6=3=2=2 | 3=3=3=4 | 17.64 | 50.78 | 31.58 | 11,412 |
31 | 6=3=2=2 | 3=3=4=3 | 16.77 | 51.49 | 31.74 | 11,262 |
32 | 5=3=3=2 | 4=3=4=2 | 12.27 | 63.41 | 24.32 | 11,978 |
33 | 5=3=3=2 | 4=4=3=2 | 12.43 | 62.93 | 24.65 | 12,079 |
34 | 6=3=2=2 | 2=4=4=3 | 16.86 | 55.05 | 28.09 | 10,979 |
35 | 6=3=2=2 | 2=4=3=4 | 17.48 | 54.79 | 27.74 | 10,729 |
36 | 5=3=3=2 | 4=2=2=5 | 1.20 | 87.38 | 11.42 | 12,025 |
37 | 6=3=2=2 | 3=4=3=3 | 11.76 | 64.86 | 23.39 | 10,690 |
38 | 5=4=2=2 | 4=3=2=4 | 1.37 | 80.81 | 17.82 | 11,442 |
39 | 5=4=2=2 | 4=3=4=2 | 1.61 | 80.52 | 17.87 | 11,553 |
40 | 4=4=3=2 | 4=4=2=3 | 6.34 | 68.17 | 25.49 | 11,348 |
41 | 5=4=2=2 | 3=3=5=2 | 5.43 | 75.52 | 19.05 | 10,319 |
42 | 6=3=2=2 | 3=2=4=4 | 4.24 | 69.56 | 26.20 | 10,746 |
43 | 5=4=2=2 | 3=3=2=5 | 5.46 | 74.74 | 19.80 | 10,372 |
44 | 4=5=2=2 | 4=3=3=3 | 6.05 | 69.90 | 24.04 | 9370 |
45 | 6=3=2=2 | 2=3=3=5 | 19.58 | 47.92 | 32.50 | 8078 |
46 | 6=3=2=2 | 2=3=5=3 | 20.12 | 47.78 | 32.10 | 8353 |
47 | 5=3=3=2 | 3=2=5=3 | 8.07 | 60.72 | 31.21 | 8101 |
48 | 5=4=2=2 | 4=4=3=2 | 1.73 | 83.66 | 14.61 | 9126 |
49 | 5=4=2=2 | 4=4=2=3 | 2.18 | 83.14 | 14.67 | 9070 |
50 | 5=4=2=2 | 3=4=3=3 | 6.08 | 67.11 | 26.81 | 8990 |
51 | 4=4=3=2 | 4=4=3=2 | 5.68 | 64.71 | 29.61 | 8506 |
52 | 6=3=2=2 | 3=4=4=2 | 7.50 | 75.57 | 16.94 | 7498 |
53 | 5=4=2=2 | 4=2=5=2 | 0.65 | 95.08 | 4.26 | 8115 |
54 | 5=4=2=2 | 4=2=2=5 | 0.55 | 95.60 | 3.84 | 8145 |
55 | 6=3=2=2 | 3=4=2=4 | 7.31 | 75.62 | 17.08 | 7431 |
56 | 4=3=3=3 | 4=3=3=3 | 69.73 | 1.93 | 28.34 | 8716 |
57 | 6=3=2=2 | 3=2=5=3 | 3.23 | 75.50 | 21.27 | 7626 |
58 | 6=3=2=2 | 3=2=3=5 | 2.63 | 76.34 | 21.03 | 7485 |
59 | 6=3=2=2 | 2=2=5=4 | 15.19 | 51.83 | 32.98 | 6464 |
60 | 6=3=2=2 | 2=2=4=5 | 15.38 | 52.62 | 32.00 | 6384 |
61 | 5=3=3=2 | 4=5=2=2 | 1.27 | 84.53 | 14.21 | 7419 |
62 | 5=3=3=2 | 4=2=5=2 | 1.20 | 84.76 | 14.04 | 7256 |
63 | 5=3=3=2 | 3=3=5=2 | 12.90 | 62.27 | 24.83 | 5884 |
64 | 4=5=2=2 | 4=3=2=4 | 2.16 | 84.47 | 13.37 | 6297 |
65 | 4=5=2=2 | 4=3=4=2 | 1.88 | 85.48 | 12.64 | 6431 |
66 | 6=3=2=2 | 3=3=2=5 | 9.60 | 71.63 | 18.77 | 5252 |
67 | 6=3=2=2 | 3=3=5=2 | 10.00 | 70.52 | 19.48 | 5349 |
68 | 5=4=2=2 | 3=4=2=4 | 2.01 | 83.40 | 14.59 | 6066 |
69 | 5=4=2=2 | 3=4=4=2 | 1.93 | 83.54 | 14.53 | 6015 |
70 | 6=3=2=2 | 2=4=2=5 | 7.76 | 75.14 | 17.10 | 5427 |
71 | 5=3=3=2 | 3=5=2=3 | 6.92 | 63.67 | 29.42 | 5364 |
72 | 6=3=2=2 | 2=4=5=2 | 8.63 | 74.01 | 17.36 | 5086 |
73 | 6=3=2=2 | 3=5=3=2 | 4.51 | 80.02 | 15.47 | 4830 |
74 | 6=3=2=2 | 3=5=2=3 | 4.15 | 78.58 | 17.27 | 4766 |
75 | 4=5=2=2 | 4=2=2=5 | 1.75 | 89.09 | 9.16 | 4848 |
76 | 4=5=2=2 | 4=2=5=2 | 1.77 | 89.14 | 9.09 | 4642 |
77 | 5=3=3=2 | 3=5=3=2 | 11.02 | 64.86 | 24.12 | 3848 |
78 | 6=3=2=2 | 2=5=3=3 | 7.77 | 69.15 | 23.08 | 3592 |
79 | 5=3=3=2 | 3=2=2=6 | 7.06 | 67.51 | 25.43 | 3398 |
80 | 5=4=2=2 | 3=2=2=6 | 3.22 | 81.96 | 14.83 | 3109 |
81 | 6=3=2=2 | 3=2=2=6 | 1.51 | 84.26 | 14.24 | 2585 |
82 | 6=3=2=2 | 3=2=6=2 | 1.22 | 83.16 | 15.62 | 2797 |
83 | 6=3=2=2 | 2=5=4=2 | 4.90 | 79.16 | 15.94 | 2246 |
84 | 6=3=2=2 | 2=5=2=4 | 5.41 | 78.70 | 15.89 | 2310 |
85 | 5=4=2=2 | 3=2=6=2 | 2.32 | 83.51 | 14.17 | 2195 |
86 | 6=3=2=2 | 2=2=3=6 | 11.12 | 59.44 | 29.43 | 1906 |
87 | 6=3=2=2 | 2=3=2=6 | 12.31 | 68.86 | 18.83 | 1641 |
88 | 5=4=2=2 | 4=5=2=2 | 0.16 | 95.53 | 4.31 | 1835 |
89 | 6=3=2=2 | 2=2=6=3 | 7.85 | 63.96 | 28.19 | 1440 |
90 | 6=3=2=2 | 2=3=6=2 | 10.16 | 73.12 | 16.72 | 1250 |
91 | 6=3=2=2 | 3=6=2=2 | 1.11 | 84.81 | 14.07 | 810 |
Average for 91 Cases | 13.73 | 56.64 | 29.62 | 11,489 | ||
Total Times | 143,571 | 592,240 | 309,732 | 1,045,543 |
Study 8J05 Main | Top Notrump or Suit Fit? |
If 6 NT or 6 is makable, this table shows the percent of the time that only 6 NT makes, only 6 makes, and both slams make for each pair of hand patterns; i.e., percents in each row must total 100. Times shows the number of occasions the paired hand patterns qualified for this table.
This comparison differs from the previous ones in that both contracts are at the same level, which is dictated to have practical benefit at least I could see no reason to compare 6 NT with a seven-bid. Therefore, it is obvious that suit contracts have a definite edge in producing an equal number of tricks. In most cases the advantage is big, but it narrows considerably when a 4-3-3-3 pattern is involved.
This should make you think twice about shunning a suit fit to play 6 NT, though in the case of a minor the frequent 2-IMP gain for 6 NT will often override. For example, consider Case 3 with a minor fit, vulnerable. In 100 tries 6 NT gains 5×16 - 8×16 + 87×2 = 126 IMPs!
Note the Times column in Cases 51 and 56, which are extremely low and disproportionate, despite the fact that cases are listed in order of frequency of the paired patterns. Why so? Because mirror shapes seldom win 12 tricks in any strain. A word to the wise.
Case | West | East | 6 NT only | 6 only | Both make | Times |
---|---|---|---|---|---|---|
1 | 4=4=3=2 | 4=3=3=3 | 4.83 | 32.62 | 62.55 | 8382 |
2 | 4=4=3=2 | 4=2=3=4 | 3.35 | 55.37 | 41.28 | 5315 |
3 | 5=3=3=2 | 3=3=3=4 | 4.88 | 8.00 | 87.12 | 4751 |
4 | 4=4=3=2 | 4=2=4=3 | 4.70 | 46.71 | 48.58 | 4761 |
5 | 4=4=3=2 | 4=3=2=4 | 4.94 | 47.05 | 48.01 | 4793 |
6 | 5=3=3=2 | 3=4=3=3 | 5.80 | 7.55 | 86.64 | 4979 |
7 | 5=3=3=2 | 3=3=4=3 | 6.01 | 7.44 | 86.55 | 4908 |
8 | 5=4=2=2 | 3=3=3=4 | 5.55 | 15.89 | 78.56 | 4287 |
9 | 5=4=2=2 | 3=3=4=3 | 6.19 | 15.53 | 78.28 | 4442 |
10 | 5=3=3=2 | 3=2=4=4 | 5.82 | 21.08 | 73.10 | 4621 |
11 | 5=3=3=2 | 3=4=2=4 | 6.17 | 19.80 | 74.02 | 4600 |
12 | 5=3=3=2 | 4=3=3=3 | 2.16 | 5.07 | 92.78 | 2270 |
13 | 5=4=2=2 | 3=2=4=4 | 3.93 | 33.42 | 62.65 | 4530 |
14 | 4=4=3=2 | 4=3=4=2 | 6.99 | 27.91 | 65.10 | 2791 |
15 | 5=3=3=2 | 4=2=3=4 | 1.37 | 38.32 | 60.31 | 3502 |
16 | 4=5=2=2 | 4=2=3=4 | 4.47 | 50.96 | 44.57 | 4431 |
17 | 5=3=3=2 | 4=3=2=4 | 1.32 | 39.33 | 59.35 | 3397 |
18 | 4=5=2=2 | 4=2=4=3 | 5.03 | 51.40 | 43.57 | 4496 |
19 | 5=3=3=2 | 3=2=3=5 | 6.73 | 28.32 | 64.95 | 4385 |
20 | 5=3=3=2 | 3=3=2=5 | 6.47 | 28.03 | 65.50 | 4417 |
21 | 5=3=3=2 | 4=4=2=3 | 1.87 | 31.59 | 66.54 | 3314 |
22 | 5=3=3=2 | 4=2=4=3 | 1.83 | 31.65 | 66.52 | 3226 |
23 | 5=4=2=2 | 4=3=3=3 | 2.30 | 23.20 | 74.51 | 2832 |
24 | 5=4=2=2 | 4=2=3=4 | 0.83 | 54.39 | 44.78 | 3743 |
25 | 5=4=2=2 | 4=2=4=3 | 1.06 | 53.26 | 45.68 | 3774 |
26 | 5=3=3=2 | 3=4=4=2 | 6.32 | 12.40 | 81.28 | 3040 |
27 | 5=4=2=2 | 3=2=5=3 | 6.48 | 30.81 | 62.70 | 3609 |
28 | 5=4=2=2 | 3=2=3=5 | 6.34 | 30.66 | 63.00 | 3738 |
29 | 6=3=2=2 | 2=3=4=4 | 4.91 | 16.33 | 78.75 | 3276 |
30 | 6=3=2=2 | 3=3=3=4 | 2.69 | 14.72 | 82.59 | 3010 |
31 | 6=3=2=2 | 3=3=4=3 | 2.44 | 14.56 | 82.99 | 2946 |
32 | 5=3=3=2 | 4=3=4=2 | 2.55 | 13.15 | 84.30 | 1962 |
33 | 5=3=3=2 | 4=4=3=2 | 2.52 | 13.06 | 84.41 | 2021 |
34 | 6=3=2=2 | 2=4=4=3 | 5.53 | 16.74 | 77.73 | 3040 |
35 | 6=3=2=2 | 2=4=3=4 | 5.14 | 17.67 | 77.19 | 3056 |
36 | 5=3=3=2 | 4=2=2=5 | 1.16 | 53.25 | 45.59 | 3354 |
37 | 6=3=2=2 | 3=4=3=3 | 2.36 | 15.76 | 81.88 | 3096 |
38 | 5=4=2=2 | 4=3=2=4 | 1.42 | 36.74 | 61.83 | 2316 |
39 | 5=4=2=2 | 4=3=4=2 | 2.34 | 35.50 | 62.16 | 2265 |
40 | 4=4=3=2 | 4=4=2=3 | 0.95 | 41.59 | 57.46 | 1368 |
41 | 5=4=2=2 | 3=3=5=2 | 8.47 | 22.87 | 68.65 | 2667 |
42 | 6=3=2=2 | 3=2=4=4 | 1.99 | 26.99 | 71.01 | 2860 |
43 | 5=4=2=2 | 3=3=2=5 | 8.05 | 24.66 | 67.30 | 2486 |
44 | 4=5=2=2 | 4=3=3=3 | 1.09 | 45.30 | 53.61 | 2746 |
45 | 6=3=2=2 | 2=3=3=5 | 7.46 | 18.00 | 74.54 | 2533 |
46 | 6=3=2=2 | 2=3=5=3 | 7.05 | 16.69 | 76.26 | 2511 |
47 | 5=3=3=2 | 3=2=5=3 | 2.22 | 19.28 | 78.51 | 2345 |
48 | 5=4=2=2 | 4=4=3=2 | 2.26 | 10.01 | 87.73 | 1239 |
49 | 5=4=2=2 | 4=4=2=3 | 2.15 | 10.66 | 87.19 | 1210 |
50 | 5=4=2=2 | 3=4=3=3 | 3.20 | 13.80 | 83.01 | 1377 |
51 | 4=4=3=2 | 4=4=3=2 | 1.49 | 8.93 | 89.58 | 672 |
52 | 6=3=2=2 | 3=4=4=2 | 2.95 | 19.40 | 77.65 | 1964 |
53 | 5=4=2=2 | 4=2=5=2 | 1.33 | 50.05 | 48.62 | 2030 |
54 | 5=4=2=2 | 4=2=2=5 | 1.84 | 49.08 | 49.08 | 2007 |
55 | 6=3=2=2 | 3=4=2=4 | 3.13 | 17.54 | 79.33 | 1984 |
56 | 4=3=3=3 | 4=3=3=3 | 5.11 | 9.09 | 85.80 | 352 |
57 | 6=3=2=2 | 3=2=5=3 | 2.10 | 29.11 | 68.79 | 2233 |
58 | 6=3=2=2 | 3=2=3=5 | 2.05 | 29.58 | 68.37 | 2248 |
59 | 6=3=2=2 | 2=2=5=4 | 6.88 | 20.83 | 72.30 | 2108 |
60 | 6=3=2=2 | 2=2=4=5 | 7.77 | 19.86 | 72.37 | 2150 |
61 | 5=3=3=2 | 4=5=2=2 | 2.76 | 25.69 | 71.55 | 1849 |
62 | 5=3=3=2 | 4=2=5=2 | 3.12 | 27.46 | 69.41 | 1857 |
63 | 5=3=3=2 | 3=3=5=2 | 2.13 | 16.11 | 81.76 | 1831 |
64 | 4=5=2=2 | 4=3=2=4 | 1.20 | 41.33 | 57.47 | 1500 |
65 | 4=5=2=2 | 4=3=4=2 | 2.24 | 42.01 | 55.75 | 1426 |
66 | 6=3=2=2 | 3=3=2=5 | 2.60 | 25.17 | 72.23 | 1768 |
67 | 6=3=2=2 | 3=3=5=2 | 3.10 | 26.45 | 70.45 | 1709 |
68 | 5=4=2=2 | 3=4=2=4 | 3.24 | 15.55 | 81.21 | 958 |
69 | 5=4=2=2 | 3=4=4=2 | 1.54 | 18.79 | 79.67 | 974 |
70 | 6=3=2=2 | 2=4=2=5 | 10.10 | 15.82 | 74.08 | 1555 |
71 | 5=3=3=2 | 3=5=2=3 | 1.69 | 25.00 | 73.31 | 1360 |
72 | 6=3=2=2 | 2=4=5=2 | 8.02 | 18.97 | 73.01 | 1571 |
73 | 6=3=2=2 | 3=5=3=2 | 4.10 | 7.53 | 88.37 | 1341 |
74 | 6=3=2=2 | 3=5=2=3 | 3.47 | 7.58 | 88.95 | 1385 |
75 | 4=5=2=2 | 4=2=2=5 | 7.66 | 44.11 | 48.22 | 1070 |
76 | 4=5=2=2 | 4=2=5=2 | 7.96 | 44.01 | 48.04 | 993 |
77 | 5=3=3=2 | 3=5=3=2 | 1.83 | 18.75 | 79.42 | 1040 |
78 | 6=3=2=2 | 2=5=3=3 | 3.09 | 10.11 | 86.80 | 1068 |
79 | 5=3=3=2 | 3=2=2=6 | 1.90 | 31.57 | 66.52 | 1156 |
80 | 5=4=2=2 | 3=2=2=6 | 2.55 | 28.51 | 68.94 | 982 |
81 | 6=3=2=2 | 3=2=2=6 | 3.67 | 23.11 | 73.23 | 818 |
82 | 6=3=2=2 | 3=2=6=2 | 1.89 | 24.43 | 73.68 | 741 |
83 | 6=3=2=2 | 2=5=4=2 | 4.02 | 11.10 | 84.88 | 721 |
84 | 6=3=2=2 | 2=5=2=4 | 3.10 | 11.50 | 85.40 | 678 |
85 | 5=4=2=2 | 3=2=6=2 | 2.32 | 36.01 | 61.67 | 647 |
86 | 6=3=2=2 | 2=2=3=6 | 2.99 | 15.57 | 81.44 | 668 |
87 | 6=3=2=2 | 2=3=2=6 | 2.52 | 15.32 | 82.16 | 555 |
88 | 5=4=2=2 | 4=5=2=2 | 0.85 | 19.72 | 79.44 | 355 |
89 | 6=3=2=2 | 2=2=6=3 | 3.96 | 21.67 | 74.38 | 480 |
90 | 6=3=2=2 | 2=3=6=2 | 3.91 | 19.27 | 76.82 | 358 |
91 | 6=3=2=2 | 3=6=2=2 | 0.00 | 2.97 | 97.03 | 202 |
Average for 91 Cases | 4.12 | 27.63 | 68.26 | 2444 | ||
Total Times | 9154 | 61,436 | 151,792 | 222,382 |
Study 8J05 Main | Top Notrump or Suit Fit? |
© 2014 Richard Pavlicek