3 Royal Flush Hands Bonus Poker $4.800.00 Win 8X Multiplier Applied At Hollywood Casino St Louis

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1.https://youtu.be/4QXXsDpeOfQ?si=SCIsQmsvROFoS4CK

2.https://upswingpoker.com/odds-of-royal-flush/

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The odds of making a five-card royal flush out of a 52-card deck are 4/2,598,960. This translates to a 0.000154% chance of making poker’s ultimate hand. The odds against making a royal flush are 649,739-to-1.

Calculating the odds of royal flush for Texas Hold’em requires different mathematics, as Texas Hold’em hands are made by choosing the best five-card hand out of seven total cards.

That does make the royal flush easier to make in Texas Hold’em, but it’s still an exceedingly rare occurrence. Your odds of a royal flush are 0.0032% in Texas Hold’em, with the odds against making a royal flush at 30,939-to-1.

If you watch any movie that involves poker, it seems like it’s only a matter of time before a royal flush makes an appearance. This is a poker hand that has a very specific composition: the ten, jack, queen, king and ace, all of the same suit. Typically the hero of the movie is dealt this hand and it is revealed in a dramatic fashion. A royal flush is the highest ranked hand in the card game of poker. Due to the specifications for this hand, it is very difficult to be dealt a royal flush.

Basic Assumptions and Probability
There is a multitude of different ways that poker can be played. For our purposes, we will assume that a player is dealt five cards from a standard 52 card deck. No cards are wild, and the player keeps all of the cards that are dealt to him or her.

To calculate the probability of being dealt a royal flush, we need to know two numbers:

The total number of possible poker hands
The total number of ways that a royal flush can be dealt.
Once we know these two numbers, the probability of being dealt a royal flush is a simple calculation. All that we have to do is to divide the second number by the first number.

Number of Poker Hands
Some of the techniques of combinatorics, or the study of counting, can be applied to calculate the total number of poker hands. It is important to note that the order in which the cards are dealt to us does not matter. Since the order does not matter, this means that each hand is a combination of five cards from a total of 52. We use the formula for combinations and see that there are a total number of C( 52, 5 ) = 2,598,960 possible distinct hands.

Royal Flush
A royal flush is a flush. This means that all of the cards must be of the same suit. There are a number of different kinds of flushes. Unlike most flushes, in a royal flush, the value of all five cards are completely specified. The cards in one's hand must be a ten, jack, queen, king and ace all of the same suit.

For any given suit there is only one combination of cards with these cards. Since there are four suits of hearts, diamonds, clubs, and spades, there are only four possible royal flushes that can be dealt.

The Probability of a Royal Flush
We can already tell from the numbers above that a royal flush is unlikely to be dealt. Of the nearly 2.6 million poker hands, only four of them are royal flushes. These nearly 2.6 hands are uniformly distributed. Due to the shuffling of the cards, every one of these hands is equally likely to be dealt to a player.

The probability of being dealt a royal flush is the number of royal flushes divided by the total number of poker hands. We now carry out the division and see that a royal flush is rare indeed. There is only a probability of 4/2,598,960 = 1/649,740 = 0.00015% of being dealt this hand.

Much like very large numbers, a probability that is this small is hard to wrap your head around. One way to put this number in perspective is to ask how long it would take to go through 649,740 poker hands. If you were dealt 20 hands of poker every night of the year, then this would only amount to 7300 hands per year. in 89 years you should only expect to see one royal flush. So this hand is not as common as what the movies might make us believe.

Nothing beats a royal flush in poker, as it’s the best hand in the game. In descending order, the best ranking hands in poker are as follows: royal flush, straight flush, four-of-a-kind, full house, flush, straight, three-of-a-kind, two pair, one pair, high card. As you can see, a royal flush is the top of the tree and can’t be beaten.
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