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 100.0000This 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
