Poker Hands Value

2021年9月5日
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Which poker stats are most important? Our poker HUD software offers a large amount of statistics. The is the best possible hand you can get in standard five-card Poker is called a royal. As a baseline we’d recommend raising three times the big blind with hand like like 22+/AT+/KJ+/89s-JQs/A2s-A5s. This is 15.5% of hands. If we have tight players on our left we can start to raise. Adding up the values for each of these possibilities gives us a value for the hand of $1.32 and tells us that discarding the low pair is our best option. Your approach to playing video poker hands should now be obvious. You should always play the hand with the highest rank or value.Poker Starting Hands Expected Value
Last Updated on January 1, 2018
I recently took a Hackerrank challenge for a job application that involved poker. I’m not a poker player, so I had a brief moment of panic as I read over the problem the description. In this article I want to do some reflection on how I approached the problem.
The hackerrank question asked me to write a program that would determine the best poker hand possible in five-card draw poker. We are given 10 cards, the first 5 are the current hand, and the second 5 are the next five cards in the deck. We assume that we can see the next five cards (they are not hidden). We want to exchange any n number of cards (where n <= 5) in our hand for the next n cards in the deck. For example, we can take out any combination of 2 cards from the hand we are given, but we must replace these two cards with the next two cards from the deck (we can’t pick any two cards from the deck).
Suit and value make up the value of playing cards. For example, you can have a 3 of clubs. 3 is the value, clubs is the suit. We can represent this as 3C.
Suits
Clubs CSpades SHeart HDiamonds D
Value (Rank)
2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, AceHands
Here are the hands of poker
*
Royal flush (the problem didn’t ask me to consider Royal Flush)
A, K, Q, J, 10, all the same suit.
*
Straight flush
Five cards in a sequence, all in the same suit. Ace can either come before 2 or come after King.
*
Four of a kind
All four cards of the same rank.
*
Full house
Three of a kind with a pair.
*
Flush
Any five cards of the same suit, but not in a sequence.
*
Straight
Five cards in a sequence, but not of the same suit.
*
Three of a kind
Three cards of the same rank.
*
Two pair
Two different pairs.
*
Pair
Two cards of the same rank.
*
High Card
When you haven’t made any of the hands above, the highest card plays.In the example below, the jack plays as the highest card.Evaluating a hand of cards
A hand is five cards. The first thing I did was write out functions to evaluate if a group of 5 cards satisfies the conditions of one of the ten hands.
Here’s a sample hand:
To write functions, I reached for using 2 important python features: set and defaultdict.
Sell silver. Here’s an example of a simple function to detect a flush, a hand with cards of all the same suit:Checking a flush
This function creates a list of the suits in our hand, and then counts the unique elements in that list by making it a set. If the length of the set is 1, then all the cards in the hand must be of the same suit.
But wait, what if we have a straight flush? Also, a hand that satisfies a flush could also be described as a two pair hand. The problem asked me to find the highest possible hand for a given set of cards, so I tried to keep things simple by writing a check_hand() function that checks each hand starting from straight flush down to high card. As soon as a condition for a hand was satisfied, I returned a number that corresponded to the strength of the hand (1 for high card up to 10 for straight flush). The problem didn’t include Royal flush, so I will not include that here.
Here’s the check_hand function:
This function starts checking the most valuable hands. After it checks the second to lowest hand (pair), it returns a value of 1. This value of 1 corresponds to the ’highest card’ hand. Since I’m not comparing the relative value of hands, it doesn’t matter what the highest card is, so the number just represents the type of hand that is the strongest.Other hands
Here are the all of the functions I used to detect hands:
defaultdict is a great built-in that is good to use when you don’t know what elements will be in your dictionary, but you know what the initial values of any key that could be added should be. We don’t need it here, but the alternative would be to write a very long dictionary where keys are the possible card values and the values of each key is 0.
It would certainly be cleaner and more efficient to write out the above functions into one large function, but I wanted to keep things simple as I was under time constraints.
The next step in the problem is to determine the best possible hand we can get given the hand we are dealt and the 5 cards on top of the deck. I decided to first solve this problem with brute force. Here was my logic for this part: use itertools to get all combinations of groups of 0, 1, 2, 3, 4 and 5 cards from my hand and add the first 5 - n cards from the deck so we get a five card deck. For each combination of cards we can run check_hand() and keep track of the highest rank hand, and then return that hand as the best hand. Here’s the code I wrote for this part of the problem:
Lastly, I need to check each hand and print out the best hand possible. Here’s the loop I wrote to do this:
This will accept one round of cards per line:
and it will output the following:
This was an interesting problem to deal with as the solution contained several parts that worked together. While solving the problem I aimed worked through to the end leaving some parts to come back to that I felt confident in solving. Instead of writing each function to check differnt hands at the beginning, I filled most of these functions with pass and moved on to write the next part that involves checking each different combination of cards. Recently having worked through python’s itertools exercises on Hackerrank, the combinations functions was fresh in my mind.
While I was able to arrive at a solution that satisfied the test cases, I did not have time to think about the efficiency or Big O analysis of the problem.
There is obviously some refactoring that I could do to make things cleaner. With more time I would take an object oriented approach by making classes for cards and hands, and adding class methods to evaluate the hands.
For each round, we have to run check_hand() on each hand combination. Let’s think about how many hands we have to evaluate:
We have to consider combinations of cards formed by taking out groups of 0, 1, 2, 3, 4 and 5 cards and adding the next number of cards in the deck that bring the total card count to 5, which means we have to do 5C0 + 5C1 + 5C2 + 5C3 + 5C4 + 5C5 calls to check_hand(). So the sum of total calls is 1 + 5 + 10 + 10 + 5 + 1 = 32.
For each of these 32 calls that happen when we run play(), check_hands() runs through each of the check_ functions starting with the highest value hand. As soon as it finds a ’match’, check_hands() returns a number value (hand_value) corresponding to straight flush, four of a kind, etc. This value is then compared with the highest value that has been previously found (best_hand) and replaces that value if the current hand’s hand rank has a higher value.
I’m not sure if there is faster way to find the best hand than the brute force method I implemented.
Play Poker » Poker Strategy » Hand Rankings
Article Summary:Learning the proper ranking of “poker hands” is a vital component in becoming a solid poker player. This article provides a full overview of what you need to know when starting out learning to play.One of the most important fundamentals of learning to play poker online is getting a thorough understanding of poker hand rankings since you’ll obviously need to know what hand beats what while your playing the game. If you are just starting out, it’s a good idea to commit the hands and their respective values to memory so you’ll never get confused in a game and make bets based on the wrong hand. On this page you will find an illustration of poker hand rankings (below) as well as comprehensive descriptions of each hand and how its formed during play.
Royal Flush: A Royal Flush is the absolute best hand you can get in poker and consists of consecutive 10, Jack, Queen, King and Ace of the same suit, it can be any suit but must be these specific cards.Poker Hands And Value
Straight Flush: A Straight Flush is the 2nd highest hand in a poker game and is 5 consecutive cards of the same suit that are not the Royal Flush cards, for example 3,4,5,6,7 of diamonds is a Straight Flush.
Four of a Kind: Getting Four of a Kind in poker games means that you hand contains one card plus four other cards that are the same, for example getting Ace, 8, 8, 8, 8 would mean you have Four of a Kind.
Full House: A Full House is a hand that is comprised of a pair and three of a kind, so for example say that you were dealt Ace, Ace, King, King, King, this would mean you had a Full House in your hand.
Flush: When you get a Flush it means that your hand has cards that are all the same suit which are unordered, if the hand was ordered and the same suit you would have a Straight Flush.
Straight: A Straight is a hand of 5 consecutive unsuited cards so for example if you were dealt a range such as 7, 8, 9, 10, Jack you would have a Straight which is the 6th best hand you can get in poker games.Poker Hand Values Rank
Three of a Kind: When you get Three of a Kind in your hand this would mean that you have 2 unpaired cards and three cards that are the same, for example King, 10, 3, 3, 3 would be a 3 of a Kind hand.
Two Pair: In order to have Two Pair you hand must be comprised of a single card plus 2 sets of pairs for example getting Ace, 10, 10, 2, 2 would mean that you have two pair which is the 8th best hand in poker.
One Pair: Getting a One Pair hand means that you have three unmatched cards and one pair of cards for example the following hand would represent One Pair, 10, 10, 3, Jack, King and is the 9th best hand possible.Value Of Poker Hands
No Pair: As you’ve probably figured out by now, having No Pair means that you have 5 cards that are unmatched and unsuited, for example 10, Jack, 2, 6, Ace would be a No Pair hand and is the lowest hand.Determining High Hands
Now that we’ve covered the actual hand rankings and how they are dealt, it’s time to cover another important subject when it comes to values of poker hands which is determining who wins when you have the same type of hand. For example say that you got to the end of a hand and when you turned your cards over you and the other player both had full houses, how do you determine who has won? The answer is basically it comes down to the high hand which basically means the hand which contains higher value cards keeping in mind that 2 is the lowest card and Ace is the highest card. For simplicities sake let’s outline a few examples below to show you who would win in each particular showdown to give you a solid overview of how high hand works.
Example One: The first player has a full house with 10, 10, 10, Jack, Jack and the second player holds a full house with 10, 10, 10, Ace, Ace. In this case, the 2nd player would win the hand even though both players have a full house as the second players hand is higher than the first since he has the pair of aces over the jacks.Poker Starting Hands Value
Example Two: Say that the first player has 5, 6, 7, 8, 9 of Diamonds and the second player has 2, 3, 4, 5, 6 of spades. In this case, both players have straight flushes however player one wins since their hand is a higher straight flush with 5-9 whereas the second player has 2-6 contained in their hand.Poker Hand Value Chart
Example Three: For our last example, let’s say that player one had 2, Jack, 8, 4, 6 of hearts and player two had 3, Ace, King, 9, 5 of hearts – both players have a flush but player two has higher cards that the first player and in this example would win, when it comes to flushes the highest card in the flush wins the hand.
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