Isolating odds of
quadrant draws

Mar 13, 2006 3:57 AM

Real keno fanatics spend a lot of time studying the board, and often see some remarkable draws. Sometimes a lot of numbers come up on top or on the bottom, and sometimes one corner of the board will have a lot of hits. The most I have ever seen myself is a 2-18 draw and a 15-2-2-1 draw.

The most balanced draw corner-wise is a 5-5-5-5 draw, 5 numbers in each corner of the board. While this draw is the most balanced, it is far from the most common. In fact it is roughly 10 times less common than the most common draw. The 5-5-5-5 draw comes up once every 61 games or so (about once every 8 hours at most games) while the most common draw 6-5-5-4 comes up about once an hour.

In the chart that follows are the odds against any particular quadrant distributions of Keno draws, without regard to order.

Distribution:                                 Odds for one:

  6   5   5   4                                                6.527

  7   6   4   3                                                8.876

  7   5   4   4                                              10.442

  6   6   5   3                                             11.095

  8   5   4   3                                             13.655

  7   5   5   3                                             13.869

  7   6   5   2                                             16.643

  6   6   4   4                                             16.708

  8   6   4   2                                             32.773

  8   6   3   3                                             46.429

  8   5   5   2                                             51.208

  7   7   4   2                                             53.256

  5   5   5   5                                             61.186

  9   5   4   2                                             61.450

  8   4   4   4                                             61.691

  9   4   4   3                                             65.546

  8   7   3   2                                             69.643

  7   7   3   3                                             75.447

  6   6   6   2                                             79.885

  9   5   3   3                                             87.054

  8   6   5   1                                             97.295

  9   6   3   2                                           104.465

  7   6   6   1                                           126.484

  8   7   4   1                                           155.673

  7   7   5   1                                           158.105

  9   6   4   1                                           233.509

10   5   3   2                                           237.419

10   4   3   3                                           253.247

10   4   4   2                                           357.526

  9   5   5   1                                           364.858

  9   7   3   1                                           496.207

10   5   4   1                                           530.702

  9   7   2   2                                           626.787

  8   8   3   1                                           814.288

 11  4   3   2                                           835.716

10   6   3   1                                           902.194

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