Two overcards: the odds of pairing one
Outs
With 6 outs, a two overcards hits on the turn 12.8% of the time and by the river 24.1% of the time when you see both cards.
- 13.0%hit on the river, from the turn
- 3.1 to 1odds against, both cards to come
- 6.8 to 1odds against, next card only
- 24%the rule of 4 estimate
- 25%equity needed to call a half-pot bet
Exact Hit Rates
The lead shows that seeing both remaining cards raises the chance of pairing to just over a quarter. This figure applies when betting stops, such as after an all-in call. If betting continues, you evaluate only the next card. The table below lists the specific probabilities for one card versus two. Notice that the chance to hit on the river from the turn is slightly larger than hitting on the turn alone. This small difference matters when calculating immediate equity. With two cards to come, the combined probability is significantly higher than either single-card scenario. The odds against hitting with both cards are roughly three to one. With only the next card to come, the odds against are nearly seven to one. These ratios define the minimum equity required to make a call profitable.
| Cards to come | Chance to hit | Odds against |
|---|---|---|
| Turn, one card | 12.8% | 6.8 to 1 |
| River, one card | 13.0% | 6.7 to 1 |
| Turn or river, both cards | 24.1% | 3.1 to 1 |
Rule of Four Accuracy
The rule of four estimates the chance of hitting with both cards to come. It multiplies outs by four, yielding a figure very close to the exact calculation. For two overcards, this estimate matches the precise probability almost perfectly. The rule of two applies to a single street, doubling the outs. This method provides a quick mental shortcut for immediate decisions. The table above confirms that the rule of four estimate is slightly lower than the exact two-card probability but higher than the single-card chance. Use the rule of four when you will see both remaining cards without further betting decisions. Use the rule of two when you must decide on the next card alone. The difference between the estimate and the exact figure is negligible for practical decision-making.
Pot Odds and Equity
A call requires equity that exceeds the ratio of the bet to the total pot. A half-pot bet demands equity of one quarter. Both the exact chance to hit with both cards and the rule of four estimate are less than this requirement. Therefore, calling a half-pot bet is mathematically unfavorable in this scenario. When only one card remains, the required equity for a half-pot bet is far higher than the chance to hit. Calling with one card to come is clearly unfavorable. Implied odds may tip the balance if future bets are likely. See implied odds for details. If gambling stops being fun, free help is available at support resources.
Questions
When should I use the rule of four?
Use the rule of four when you will see both remaining cards without further betting decisions, such as after an all-in call. Use the rule of two when you must decide on the next card alone.
Is the rule of four accurate for two overcards?
Yes, the rule of four estimate is very close to the exact probability. The difference is minimal and rarely affects the decision to call a standard bet size.
Why does the river chance differ from the turn chance?
The chance to hit on the river from the turn is slightly larger because fewer cards remain unseen. This increases the probability that one of your outs appears.
Does knowing the odds guarantee a profit?
No. Good decisions win over many hands, not every hand. The math helps you choose the most profitable action in the long run, but variance still affects short-term results.
Every figure on this page is computed by code from a standard 52-card deck, counting every possible card and checking the count a second way. See the methodology.