Stats 7Z61 Main

Freakness

by Richard Pavlicek

The formula I use to measure the freakness of a bridge hand is summarized below:

Add 1 point for each card over four or under three in each suit.
Add 1 point if the hand has any singleton or 2 points if any void.

This produces a 0-20 scale, but values of 15, 17 and 19 are impossible.

The average freakness of all bridge hands is 2.98, or more precisely 2.982855307161.

Hand Freakness Table
4-3-3-3 = 0 6-5-2-0 7-4-2-0 8-2-2-1 8-3-1-1 = 9
4-4-3-2 = 1 8-3-2-0 = 10
5-3-3-2 = 2 6-6-1-0 7-5-1-0 8-4-1-0 9-2-1-1 = 11
4-4-4-1 5-4-2-2 = 3 9-2-2-0 9-3-1-0 = 12
5-4-3-1 6-3-2-2 = 4 7-6-0-0 8-5-0-0 9-4-0-0 10-1-1-1 = 13
6-3-3-1 = 5 10-2-1-0 10-3-0-0 = 14
5-4-4-0 5-5-2-1 6-4-2-1 7-2-2-2 = 6 11-1-1-0 11-2-0-0 = 16
5-5-3-0 6-4-3-0 7-3-2-1 = 7 12-1-0-0 = 18
6-5-1-1 7-3-3-0 7-4-1-1 = 8 13-0-0-0 = 20

Hand Freakness Table
4-3-3-3	= 0	6-5-2-0 7-4-2-0 8-2-2-1 8-3-1-1	= 9
4-4-3-2	= 1	8-3-2-0	= 10
5-3-3-2	= 2	6-6-1-0 7-5-1-0 8-4-1-0 9-2-1-1	= 11
4-4-4-1 5-4-2-2	= 3	9-2-2-0 9-3-1-0	= 12
5-4-3-1 6-3-2-2	= 4	7-6-0-0 8-5-0-0 9-4-0-0 10-1-1-1	= 13
6-3-3-1	= 5	10-2-1-0 10-3-0-0	= 14
5-4-4-0 5-5-2-1 6-4-2-1 7-2-2-2	= 6	11-1-1-0 11-2-0-0	= 16
5-5-3-0 6-4-3-0 7-3-2-1	= 7	12-1-0-0	= 18
6-5-1-1 7-3-3-0 7-4-1-1	= 8	13-0-0-0	= 20

Deal freakness is simply the sum of all four hands, hence a 0-80 scale. Values of 69, 71, 73, 75, 77, 78 and 79 are impossible.

The average freakness of all bridge deals is 11.93, or more precisely 11.931421228644.

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