### Opening point statistics

These statistics are the result of a 107 board simulation.

This table shows the fequency distribution of the frequently used opening points (HCP + length of two longest suits). Normally one requires 20 opening points to open the bidding.

```Average strength: 18.42 OP

OP   Freq.     Cumul.

7-9  0.9102    0.9102

10   1.1448    2.0550
11   2.0398    4.0948
12   3.2520    7.3469
13   4.5361   11.8830
14   5.9239   17.8069

15   7.3207   25.1275
16   8.4371   33.5647
17   9.1099   42.6745
18   9.3680   52.0426
19   9.1373   61.1798

20   8.4688   69.6486
21   7.4348   77.0834
22   6.2448   83.3282
23   5.0085   88.3367
24   3.8300   92.1667

25   2.7964   94.9631
26   1.9355   96.8986
27   1.2798   98.1784
28   0.7954   98.9738
29   0.4786   99.4524

30   0.2727   99.7251
31   0.1427   99.8679
32   0.0729   99.9408
33   0.0349   99.9757
34   0.0149   99.9906

35+  0.0094  100.0000
```
This table is the same, except that it plots the Opening Points of the strongest hand at the table. This will tell you something about the probability of pass-outs and the frequency of strong opening bids.
```AROUND THE TABLE             IN A PARTNERSHIP

OP    Freq.    Cumul.        Freq.    Cumul.

0-14                         0.3260    0.3260

15                           0.8317    1.1577
16                           2.2067    3.3645
17                           4.7569    8.1213
18   0.0033    0.0033        8.2189   16.3402
19   0.2920    0.2953       11.5821   27.9223

20   3.5112    3.8065       13.4678   41.3900
21  12.3188   16.1253       13.4409   54.8310
22  18.9865   35.1118       12.0168   66.8478
23  18.6192   53.7310        9.8917   76.7395
24  15.0383   68.7692        7.6187   84.3582

25  11.1236   79.8928        5.5665   89.9247
26   7.6977   87.5905        3.8713   93.7960
27   5.1054   92.6959        2.5660   96.3620
28   3.2083   95.9042        1.6074   97.9695
29   1.9201   97.8243        0.9476   98.9171

30   1.0758   98.9001        0.5383   99.4554
31   0.5760   99.4761        0.2845   99.7398
32   0.2905   99.7666        0.1437   99.8835
33   0.1359   99.9025        0.0670   99.9506
34   0.0600   99.9625        0.0303   99.9808

35+  0.0375  100.0000        0.0192  100.0000
```