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Poker Hand Rankings

1 - ROYAL FLUSH

ROYAL FLUSH

Royal Flush: The five highest cards, the 10 through the Ace, all five of the same suit. A royal flush is actually an ace-high straight flush. Which suit it is doesn't matter in poker. Two people with royal flushes would tie.
Odds: 649 740 - 1

2 - STRAIGHT FLUSH

STRAIGHT FLUSH

Straight Flush: Any five cards of the same suit in consecutive numerical order. Our example shows an Eight-high straight flush.
Odds: 72 193 - 1

3 - FOUR OF A KIND

4 OF A KIND

4 Of A Kind: Four cards of the same denomination. Our example shows four Queens with a Five kicker
Odds: 4165 - 1

4 - FULL HOUSE

FULL HOUSE

Full House: Any three cards of the same denomination, plus any pair of a different denomination. Ties are broken first by the three of a kind, then the pair. Our example shows Aces full of Fives.
Odds: 694 - 1

5 - FLUSH

FLUSH

Flush: Any five non-consecutive cards of the same suit. Our example shows a King-high diamond flush.
Odds: 509 - 1

6 - STRAIGHT

STRAIGHT

Straight: Any five consecutive cards of mixed suits. Ace can be high or low. Our example shows a six-to-ten straight.
Odds: 255 - 1

7 - THREE OF A KIND

3 OF A KIND

3 Of A Kind: Three cards of the same denomination.Our example displays three of a kind, Queens.
Odds: 47 - 1

8 - TWO PAIR

2 PAIR

2 Pair: Any two cards of the same denomination, plus any other two cards of the same denomination. If both hands have the same high pair, the second pair wins. If both pairs tie, the high kicker card wins. Our example shows two pair, Jacks and Nines.
Odds: 21 - 1

9 - ONE PAIR

1 PAIR

1 Pair: Any two cards of the same denomination. Our example displays a pair of Queens. In a tie, the high kicker card wins.
Odds: 1 - 1

10 - HIGH CARD

HIGH CARD

High Card: If no other hand is achieved, the highest card held wins. In our example, the Ace of Spades is the high card.
Odds: 2 - 1

                                                                                                                                                            

RNG's (Random Number Generators)
A random number generator is a computational or physical device designed to generate a sequence of numbers that does not have any easily discernable pattern, so that the sequence can be treated as being random. Random number generators have existed since ancient times, in the form of dice and coin flipping, the shuffling of playing cards, the use of yarrow stalks in the I Ching, and many other methods.
 
Monte Carlo methods were originally practiced under more generic names such as "statistical sampling". The "Monte Carlo" designation, popularized by early pioneers in the field (including Stanislaw Marcin Ulam, Enrico Fermi, John von Neumann and Nicholas Metropolis), is a reference to the famous casino in Monaco. Its use of randomness and the repetitive nature of the process are analogous to the activities conducted at a casino. Stanislaw Marcin Ulam tells in his autobiography Adventures of a Mathematician that the method was named in honor of his uncle, who was a gambler, at the suggestion of Metropolis.

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