Poker hands & online poker hands :) : poker research with tips & hints - Part 2 of 2

Other poker hands

Since I'm such a nice guy, I'll let you figure out how I came up with these numbers (see the previous long post).
Straight: 5 cards in a row. The suits don't matter.
Number of card combinations: 9.
Number of suit combinations: 1,024
Total: 9,216Probability: 0.35%
Note: Some argue that the number combinations are actually 10 since the ace can be either low or high. I would argue that it must be one or the other (can't have it both ways).

Flush: 5 cards from the same suit. The cards don't matter.
Number of card combinations: 1,287
Number of suit combinations: 4
Total: 5148
Probability: 0.2%
Note: Some argue that the total should subtract 36 from the total of 5148 since they consider the straight flush a completely different hand than the flush.

Straight flush: 5 cards in a row from the same suit.
Number of card combinations: 9
Number of suit combinations: 4
Total: 36
Probability: you figure it out

And now! The most popular hand in all of spaghetti western movie history!
Royal flush: The 10, jack, queen, king and ace from the same suit.
Number of card combinations: 1
Number of suit combinations: 4
Total: 4
Probability: is it in the real world or Hollywood?

Well done.
Having got through all these thrilling estimates, just do not tell me that you won't win an online poker tournament!
Get a Feeling of Poker with us and be happy!

Yours etc.,
Alex Cup

Poker hands, online poker hands: poker research with tips and hints

Poker hands: basics
Poker is a game played with a standard 52 playing card deck. There are 4 suits: spades, clubs, diamonds and hearts. Each suit has the same 13 cards. There are 9 numbered cards: 2 through 10, and 4 face cards: jack, queen, king and ace.
Each poker player is dealt 5 cards from the deck. The object is to get a 5- card combination (known as a poker hand) that is more valuable than everyone else's. The harder it is to get a particular poker hand, the more valuable it is.
Here are the poker hands in order from least importance to most:

• none the same;
• pair;
• two pair;
• three of a kind;
• full house;
• four of a kind.

Poker hands: what and how we research

What we are actually doing in this fun exercise is figure out the different ways of getting these hands.
For starters, the total number of poker hands is { 52; 5} = 2,598,960. Well, poker is generous enough...
The method I will use to figure out the number of ways of getting the above hands I call the choose/choose method.
I call it that because what I will do first is choose from the 13 cards (also known as faces) common to each suit, and then choose the suit for each group of cards that have the same face. The method for choosing is exactly the same as the elevator problem.

Studying major poker hands

None the same: First we choose 5 faces from the 13. We have {13; 5} = 1,258 choices there. Then, for each face, we have 4 suits to choose 1 suit from. So, the number of suit choices is 4x4x4x4x4 = 1,024. The total number of hands where none of the cards match is 1,287 x 1,024 = 1,317,888. The probability of getting this hand is 50.7%.
Pair: First we choose the face for the pair. There are 13 choices for that. Now we have 12 faces from which to choose the remaining 3 which works out to be {12; 3} = 220 combinations. So, the total number of face choices for this case is 13 x 220 = 2,860.In choosing the suits, for the pair we have {4; 2} = 6 choices and for the rest of the cards, once again we have 4. So, the number of suit choices in this case is 6x4x4x4 = 384. Ergo, (there's some Latin for you) the total number of hands with one pair is 2,860 x 384 = 1,098,240. The probability of getting this hand is 42.3%.THAT MEANS THE TOTAL PROBABILITY OF GETTING AT BEST A PAIR IS A WHOPPING 93%!!! Makes you wonder how people won at poker in those old spaghetti western movies, doesn't it?
Two pair: We have to choose 2 faces, one for each pair. We have {13; 2} = 78 choices there. Then, we have 11 faces left to choose from for the last card. So, the number of face choices for this case is 78 x 11 = 858As far as the suit choices go, just like the last case, we have 6 choices for the first pair, 6 for the second pair, and 4 for the single card. The number of suit choices is 6x6x4 = 144. The total number of hands with two pair is 858 x 144 = 123,552. The probability of getting this hand is 4.8%
Three of a kind: The smarter ones among you should be able to do this one in your sleep:{13; 1} = 13 choices for the 3 cards that are the same{12; 2} = 66 choices for the other 2 cardsSo there are 13 x 66 = 858 card choices in this case.To choose the suits, we have for the 3 of kind cards and 4 choices for each of the other 2 cards. The total number of suit choices is 4x4x4 = 64. So, the total number of hands for this case is 858 x 64 = 54,912. The probability of getting this hand is 2.1%
Full house: Do you think point form will do?{13; 1} = 13 choices for the 3 cards that are the same{12; 1} = 12 choices for the 2 cards that are the sameTotal number of card choices: 13 x 12 = 156{4; 3} = 4 suit choices for the 3 of a kind cards{4; 2} = 6 choices for the 2 of a kind cardsTotal number of suit choices: 4 x 6 = 24.Total number of hands that are a full house: 156 x 24 = 3,744.Probability of getting this hand for real: 0.144%.Probability of getting this hand in a spaghetti western: happens all the time.
Four of a kind: Deja vu, anyone?{13; 1} = 13 choices for the 4 cards that are the same{12; 1} = 12 choices for the 1 card left.Total number of card choices: 13 x 12 = 156{4; 4} = 1 suit choices for the 4 of a kind cards{4; 1} = 4 choices for the last card.Total number of suit choices: 4Total number of hands that have 4 of a kind: 156 x 4 = 624Probability of getting this hand for real: 0.024%Believe it or not, this is not the most popular hand in gambling movies. More on this later.Anyway, if you add all these numbers up, they add up to 2,598,960.

Interested? To be followed...

Alex Cup.

Thanks Helen, I did enjoy the game there, but didn't manage to win :)

And now, it is Fun Time. As to me, the following is a witty stuff.

The guys seem to have inhaled some laughing gas :)


US President resigns after disastrous gambling in online poker room
American President blows his fortune at online poker table, unexpectedly resigns.

WASHINGTON, D.C. – The news about sensational resignation of US President George W. Bush was announced by Joshua B. Bolten, who takes over April 15 as White House Chief of Staff but has been already employed as White House Chief of Bluff.

George Bush was unwilling to neither appear in White House nor comment on the situation (being apparently not sober) after it became known he had spent about $5 million in total at Piggs Peak Poker playing online poker, a kind of game that Mr. Bush still seems to lack the skills for, despite both his online poker nicknames, GodOnErth and The_STRONGEREST.

Referring to a source in White House, GamblingGates.com Editor Alex Cup says Mr. Bush intends to start what he seems to dream of: walk away from politics to travel throughout his native Texas, master Spanish language to fluency with immigrants as well as play golf with Tiger Woods – all that instead of poker (what a miserable replacement!).

World's mixed reaction.

Different parts of the world have found themselves in either shock or joy after online gambling with Piggs had brought Mr. Bush into desperate situation with resignation as the only way out. Surprisingly, the dividing line between these two states was nations' attitude towards gambling.
In Europe, Russia, China and Japan first common reaction has turned out to be nothing else but saying US foreign policy under outgoing President was just permanent gambling on America's role as the only global superpower. Unsuccessful high stake gambling and bluff, many add.

In the meanwhile, millions of people in Black Africa demonstrated in support of Dr. Condoleeza Rice as successor of Mr. Bush. "Ms. Condoleeza for President", reads a huge poster with her portrait and dozens of exclamation marks, installed in front of US embassy in Senegal. However, Vice President Dick Cheney is the first in the queue for US presidency. His first statement as US Acting President was: "America is a stronge nation blessed by gold, and we will deliver the goods whoever helms us or US."
As Europe, ex-USSR and Israel seem to meet the news with a mixture of sadness and anxiety, a number of capitals in Middle East start celebrating the news by a new series of explosions – blasts of people’s joy and mass festive demonstrations.
Iraqis were among the first to react. "Bush, you're loser, go away", 10,000-strong crowd chanted during a demonstration in Baghdad, which ended peacefully, whereas thousands of Iranians, encouraged by clericks, gathered in streets and packed change into sacks "to send to Mr. Bush as a consolation prize." Was it unjust of George Bush to keep hard line towards Iran?

Online poker, pigs and terrorists: mutuals links and URLs being investigated by GamblingGates.com.

Taking into consideration the alternative name of Poker333.com, the poker site that Mr.Bush lost to - Piggs Peak Poker, GamblingGates.com expert believes that Mr. Bush’s record loss to Piggs in poker may has been arranged by a group of Chinese hackers hired by Usama bin Laden spies, famous for their abhorrence of pigs and pork. World terrorism No.1 sponsor apparently hopes that this historical loss will stir up global hatred towards pigs and pork shared by all Muslims.
The other version being offered by GamblingGates.com is that the largest beef producers and suppliers may have been behind the gambling plot that lead to Mr. Bush’s loss, as they are still desperate to restore their market positions after the mad cow disease crisis, at the expense of their competitors producing pork...
But were all these plans a truly successful bet? . This tricky kind of gambling is particularly risky, because the opposite side would be celebrating as the winner of a massive jackpot in a while… Instead, we urge those guys to try their luck in gambling, to make this planet safer, cleaner and healthier.

http://www.gamblinggates.com/news/poker/us-president-bush-disastrous-gambling-online-poker-room-65062.html

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