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Hand Name |
Example |
Probability |
Royal Flush |
|
Work
4
------
52 C 5
Answer
4 / 2598960 or 1.539077169E-6 or around .0002%
|
Straight Flush |
|
Work
9 * 4
------
52 C 5
Answer
36 / 2598960 or 1.385169452E-5 or around .001%
|
Four of a Kind |
|
Work
13 * 4 C 4 * 13
---------------
52 C 5
Answer
169 / 2598960 or 6.50260104E-5 or around .007%
|
Full House |
|
Work
13 * 4 C 3 * 12 * 4 C 2
-----------------------
52 C 5
13 * 4 * 12 * 6
---------------
52 C 5
Answer
3744 / 2598960 or .0014405762 or around .1%
|
Flush |
|
Work
13 C 5
------
52 C 5
Answer
1287 / 2598960 or 4.91980792E-4 or around .04%
|
Straight |
|
Work
9 * 45
------
52 C 5
Answer
9216 / 2598960 or .0035460338 or around .3%
|
Three of a Kind |
|
Work
13 * (4 C 3) * (12 C 2) * 42
----------------------------
52 C 5
13 * 3 * 66 * 16
----------------
2598960
Answer
41184 / 2598960 or .0158463385 or around 1.6%
|
Two Pairs |
|
Work
13 * (4 C 2) * 13 * (4 C 2) * 52
--------------------------------
52 C 5
13 * 6 * 13 * 6 * 52
--------------------
2598960
Answer
292032 / 2598960 or .112364946 or around 11.2%
|
Pair |
|
Work
13 * (4 C 2) * (12 C 3) * 43
----------------------------
52 C 5
13 * 6 * 220 * 64
-----------------
2598960
Answer
1098240 / 2598960 or .4225690276 or around 42.3%
|