Examples
Examples
Try the starting example
- Current five cards, comma-separated
- AH,KH,QH,JH,2C
- Cards retained from current hand, two to five cards
- AH,KH,QH,JH
- Other visible dead cards, or none
- none
- Minimum target category, in traditional high-hand order
- flush
- Probability final category is at least selected target
- 0.191489
- Possible equally likely replacement draws
- 47
- Replacement card count
- 1
- Final exact-category probability distribution
- high-card: 0.489361702128; one-pair: 0.255319148936; two-pair: 0; three-of-a-kind: 0; straight: 0.063829787234; flush: 0.170212765957; full-house: 0; four-of-a-kind: 0; straight-flush: 0.0212765957447
Try another scenario
- Current five cards, comma-separated
- AH,KH,QH,JH,2C
- Cards retained from current hand, two to five cards
- AH,KH,QH,JH
- Other visible dead cards, or none
- none
- Minimum target category, in traditional high-hand order
- straight
- Probability final category is at least selected target
- 0.255319
- Possible equally likely replacement draws
- 47
- Replacement card count
- 1
- Final exact-category probability distribution
- high-card: 0.489361702128; one-pair: 0.255319148936; two-pair: 0; three-of-a-kind: 0; straight: 0.063829787234; flush: 0.170212765957; full-house: 0; four-of-a-kind: 0; straight-flush: 0.0212765957447
Calculation method
Calculation method
Probability final category is at least selected target
Enumerate unordered replacement subsets and classify each final five-card hand; sum categories at/above the supplied target.
Possible equally likely replacement draws
Choose undealt-card count,5−retained count. All current cards, including discards, and other dead cards are excluded from draw pool.
Replacement card count
Five minus retained-card count.
Final exact-category probability distribution
Exact category counts/draw combinations; royal flush remains within straight-flush.
Symbols and units
- a
- Current five cards, comma-separated
- b
- Cards retained from current hand, two to five cards
- c
- Other visible dead cards, or none
- d
- Minimum target category, in traditional high-hand order
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- One replacement draw with two to five retained cards. Current discards are set aside and cannot be redrawn. This is a uniform-deal category calculation, not a discard recommendation or a poker-win prediction against opponents.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.