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| Hand | Number | Approx Odds (to 1) |
| Royal Flush Straight flush Four of a kind Full House Flush Straight Three of a kind Two pairs one pair No hand |
4 36 624 3,744 5,108 10,200 54,912 123,552 1,098,240 1,302,540 |
649,740 72,192 4,164 693 508 254 46 20 1.37 1 |
ODDS AGAINST IMPROVING A HAND
| Cards Held | Drawn | Improved hand | Odds against (to 1) |
| One Pair | 3 | Two pair Three of a kind Full House Four of a kind Any improvement |
5.3 7.8 97 360 2.5 |
| One Pair plus kicker | 2 | Two Pairs Three of a kind Full house Four of a kind Any improvement |
4.8 12 120 1080 2.8 |
| Three of a kind | 2 | Full house Four of a kind Any improvement |
15.3 22.5 8.7 |
| Four straight cards (open both ways) | 1 | Straight | 5 |
| Inside straight | 1 | Straight | 10.8 |
| Four card flush | 1 | Flush | 4.2 |
| Four card flush (open ended) | 1 | Straight Flush Straight or better |
22.5 2 |
| Four card straight flush (inside) | 1 | Straight Flush Straight or better |
46 3 |
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