When it comes to poker, probabilities are the name of the game! Seriously, it’s the cornerstone of everything. Why? Because poker is all about unpredictability. You can’t foresee every event perfectly, so you have to rely on chances and probabilities instead. If you play according to the odds, you’ll definitely find success in the long run—even if it doesn’t always show in individual hands or short sessions.
So, what pocket hand should you enter the pot with? And what’s the likelihood that you’ll hit a flush with four suited cards on the flop? To tackle these and many other questions, you need to get comfy with probabilities. For example, if you know that your hand has a 50% chance of beating your opponent’s hand by showdown, and you only need to put in ¼ of the pot to see the turn, then you should definitely take that shot!
Beyond that, it’s crucial to know the probabilities of poker hands—like the chances that your hand will improve by the flop, turn, or river. You can calculate this on your own with some basic probability theory knowledge, or you can use special poker software. But hey, these numbers are pretty well-known already, so there’s no need to dive too deep into the math unless you really want to.
Pocket Hands
Before diving into the probabilities of various poker hands, it’s essential to understand how often specific cards will come your way. If you don’t know this, you’ll struggle to pick the right range of hands to play. For instance, if you’re just waiting for pocket aces, you could easily blow your entire stack on blinds without ever seeing that magical hand! The reality is, you’ll only get AA about 0.45% of the time—super rare!
In poker, the monster hands are considered to be AA, KK, and AK. You’ll snag pocket aces or kings about 0.9% of the time. Suited AK shows up in 0.3% of hands, while unsuited AK appears in 0.9%. So, any of those monster hands has a 2.1% chance of landing in your lap—that’s not too shabby, equating to about one in every 48 hands!
But don’t sleep on the other strong pocket combinations that have decent potential for improvement. These include pairs, connectors, and suited cards. You can expect to see any pocket pair (from 22 to AA) about 5.9% of the time. Meanwhile, two suited cards will hit your hand in 24% of the cases.
It’s not uncommon for two or more players to get strong hands in a pot, and they go all-in, throwing their entire stacks on the line. Knowing your chances of winning with a particular hand against an opponent’s all-in will help you make the right decision.
With any pocket pair, you’ll beat an opponent with two higher unpaired cards 54% of the time. Your higher pocket pair will take down an opponent with a lower pair 81% of the time. If you have a pocket pair against one high and one low card, you’ll win 71% of the time. Unsuitable cards will win against high unsuited cards 37% of the time. And if both opponents share a high card, the pot goes to the one with the higher second card 74% of the time.
Probabilities of Specific Combinations Based on Pocket Hands
A pocket pair is a fantastic starting hand for entering a pot. In many situations, it can roll all the way to the river without improving and still snag the pot. But if it improves on the post-flop, your chances of winning skyrocket! So, let’s break down the probabilities of improving with any pocket pair:
- Set or better by the flop: 10.8%
- Full house by the flop: 0.7%
- Four of a kind by the flop: 0.2%
- Set or better by the river: 19%
So, practically in one out of every five hands, your pair will improve to a set or even better by the river. Therefore, if you get a pocket pair of deuces, you’ve got solid chances to win that pot!
Now, if you’re dealt two suited cards (not sequential), they can improve to the following combinations:
- Flush by the flop: 0.84%
- Flush draw by the flop (one card short of a flush): 10.9%
- Backdoor flush draw by the flop (missing two cards): 41.6%
- Flush by the river: 6.4%
With these numbers in mind, you can make smart decisions in various situations. For example, if you hit a flush draw on the flop, your chances of completing the flush by the river are nearly 50/50!
However, in most hands, you’re likely to end up with non-paired, non-suited cards. So let’s take a look at the probabilities of combinations in poker with these starting hands by the flop:
- Pair or better with any pocket card: 32.4%
- Pair with any pocket card: 29%
- Two pairs with two pocket cards: 2%
- Two pairs involving any cards: 4%
- Trips (i.e., a set made with one pocket card): 1.35%
- Full house: 0.09%
- Four of a kind with either of the two cards: 0.01%
Improving Odds on the Turn and River
Often, you won’t hit any strong combination on the flop or will have a weak hand. You need to know the odds of improving your hand on the turn and river to make smart betting decisions. So, let’s check out the improvement odds on the turn first:
- Set becomes a full house: 15%
- Two pairs become a full house: 8.5%
- Flush draw completes: 19%
- Gutshot straight draw completes: 8.5%
- Straight draw completes: 17%
- Pair improves to trips: 4.3%
- Overpair appears on the turn: 12.8%
Now, let’s look at the odds of hitting those same combinations, but from the flop to the river. Basically, these odds double because you get another card that could improve your hand. Check out the details below:
- From set to full house: 33%
- From two pairs to full house and better: 17%
- From flush draw to flush: 35%
- Backdoor flush draw completes: 4.2%
- From straight draw to straight: 32%
- Gutshot to straight: 17%
- Pair with an overcard: 24%
Sure, we could also dive into how to improve your hand from the turn to the river, but that info might be a bit much. The reality is, those odds are pretty similar and even a tad higher than from flop to turn. This boost in probability is because one card is already out on the turn, so more cards remain in the deck that could help you.
By studying the information presented in this article, you’ll grasp which hands have good chances to improve at any stage of the game and take down the pot. Plus, knowing the flop structures can also help you make informed decisions, so check that out too!
