Learning Badugi 3 - Four Card Badugi Combinations

So now I want to start to get an idea of some of the odds involved in Badugi, and see if I can draw any conclusions based upon these numbers.

Total Possible Badugi Hands:
52*51*50*49/ 4!  = 270,725

4 card Badugi Hands: (no pairs, no matched suits)
52*36*22*10/4! = 17,160

Chance of being dealt a pat 4 card Badugi:
17,160 / 270,725 = 6.34%

Combinations of various 4 card Badugi Hands:

Highest Card	Formula	# of combinations
King	4*36*22*10 / 3!	5,280
Queen	4*33*20*9 / 3!	3,960
Jack	4*30*18*8 / 3!	2,880
10	4*27*16*7 / 3!	2,016
9	4*24*14*6 / 3!	1,344
8	4*21*12*5 / 3!	840
7	4*18*10*4 / 3!	480
6	4*15*8*3 / 3!	240
5	4*12*6*2 / 3!	96
4	4*9*4*1 / 3!	24

This means that the median badugi pat hand is somewhere around a Jack high Badugi.

Badugi <<Previous Index Next>>