Titanic Jack Poker Hand
2021年7月22日Register here: http://gg.gg/vhbzu
This post works with 5-card Poker hands drawn from a standard deck of 52 cards. The discussion is mostly mathematical, using the Poker hands to illustrate counting techniques and calculation of probabilities
Working with poker hands is an excellent way to illustrate the counting techniques covered previously in this blog – multiplication principle, permutation and combination (also covered here). There are 2,598,960 many possible 5-card Poker hands. Thus the probability of obtaining any one specific hand is 1 in 2,598,960 (roughly 1 in 2.6 million). The probability of obtaining a given type of hands (e.g. three of a kind) is the number of possible hands for that type over 2,598,960. Thus this is primarily a counting exercise.
___________________________________________________________________________Preliminary Calculation
Usually the order in which the cards are dealt is not important (except in the case of stud poker). Thus the following three examples point to the same poker hand. The only difference is the order in which the cards are dealt.These are the same hand. Order is not important.
J-Lo – Jennifer Lopez is honored with the hand. A Jack (J) and a low card (3) with the three also said to resemble her butt. Lumberjack – A Jack with a Tree (3). Playing this hand is like taking a buzzsaw to your bankroll. Jack-Two (J-2) The Prince and the Pauper – When suited, this hand refers to the famous story of two young boys. Titanic Jack Poker Hand gives you Titanic Jack Poker Hand Internet access via 3G, 4G, LTE, or Wi-Fi. We have listed for you some of the top mobile casinos around. They are all compatible with the Android and iPhone mobile platforms, and there are some that are even accessible from Windows Phone and BlackBerry devices.
The number of possible 5-card poker hands would then be the same as the number of 5-element subsets of 52 objects. The following is the total number of 5-card poker hands drawn from a standard deck of 52 cards.
The notation is called the binomial coefficient and is pronounced “n choose r”, which is identical to the number of -element subsets of a set with objects. Other notations for are , and . Many calculators have a function for . Of course the calculation can also be done by definition by first calculating factorials.
Thus the probability of obtaining a specific hand (say, 2, 6, 10, K, A, all diamond) would be 1 in 2,598,960. If 5 cards are randomly drawn, what is the probability of getting a 5-card hand consisting of all diamond cards? It is
This is definitely a very rare event (less than 0.05% chance of happening). The numerator 1,287 is the number of hands consisting of all diamond cards, which is obtained by the following calculation.
The reasoning for the above calculation is that to draw a 5-card hand consisting of all diamond, we are drawing 5 cards from the 13 diamond cards and drawing zero cards from the other 39 cards. Dakota dunes poker tournaments 2019. Since (there is only one way to draw nothing), is the number of hands with all diamonds.
If 5 cards are randomly drawn, what is the probability of getting a 5-card hand consisting of cards in one suit? The probability of getting all 5 cards in another suit (say heart) would also be 1287/2598960. So we have the following derivation.
Thus getting a hand with all cards in one suit is 4 times more likely than getting one with all diamond, but is still a rare event (with about a 0.2% chance of happening). Some of the higher ranked poker hands are in one suit but with additional strict requirements. They will be further discussed below.
Another example. What is the probability of obtaining a hand that has 3 diamonds and 2 hearts? The answer is 22308/2598960 = 0.008583433. The number of “3 diamond, 2 heart” hands is calculated as follows:
One theme that emerges is that the multiplication principle is behind the numerator of a poker hand probability. For example, we can think of the process to get a 5-card hand with 3 diamonds and 2 hearts in three steps. The first is to draw 3 cards from the 13 diamond cards, the second is to draw 2 cards from the 13 heart cards, and the third is to draw zero from the remaining 26 cards. The third step can be omitted since the number of ways of choosing zero is 1. In any case, the number of possible ways to carry out that 2-step (or 3-step) process is to multiply all the possibilities together.
___________________________________________________________________________The Poker Hands
Here’s a ranking chart of the Poker hands.
The chart lists the rankings with an example for each ranking. The examples are a good reminder of the definitions. The highest ranking of them all is the royal flush, which consists of 5 consecutive cards in one suit with the highest card being Ace. There is only one such hand in each suit. Thus the chance for getting a royal flush is 4 in 2,598,960.
Royal flush is a specific example of a straight flush, which consists of 5 consecutive cards in one suit. There are 10 such hands in one suit. So there are 40 hands for straight flush in total. A flush is a hand with 5 cards in the same suit but not in consecutive order (or not in sequence). Thus the requirement for flush is considerably more relaxed than a straight flush. A straight is like a straight flush in that the 5 cards are in sequence but the 5 cards in a straight are not of the same suit. For a more in depth discussion on Poker hands, see the Wikipedia entry on Poker hands.
The counting for some of these hands is done in the next section. The definition of the hands can be inferred from the above chart. For the sake of completeness, the following table lists out the definition.
Definitions of Poker HandsPoker HandDefinition1Royal FlushA, K, Q, J, 10, all in the same suit2Straight FlushFive consecutive cards,all in the same suit3Four of a KindFour cards of the same rank,one card of another rank4Full HouseThree of a kind with a pair5FlushFive cards of the same suit,not in consecutive order6StraightFive consecutive cards,not of the same suit7Three of a KindThree cards of the same rank,2 cards of two other ranks8Two PairTwo cards of the same rank,two cards of another rank,one card of a third rank9One PairThree cards of the same rank,3 cards of three other ranks10High CardIf no one has any of the above hands,the player with the highest card wins
___________________________________________________________________________Counting Poker Hands
Straight Flush
Counting from A-K-Q-J-10, K-Q-J-10-9, Q-J-10-9-8, …, 6-5-4-3-2 to 5-4-3-2-A, there are 10 hands that are in sequence in a given suit. So there are 40 straight flush hands all together.
Four of a Kind
There is only one way to have a four of a kind for a given rank. The fifth card can be any one of the remaining 48 cards. Thus there are 48 possibilities of a four of a kind in one rank. Thus there are 13 x 48 = 624 many four of a kind in total.
Full House
Let’s fix two ranks, say 2 and 8. How many ways can we have three of 2 and two of 8? We are choosing 3 cards out of the four 2’s and choosing 2 cards out of the four 8’s. That would be = 4 x 6 = 24. But the two ranks can be other ranks too. How many ways can we pick two ranks out of 13? That would be 13 x 12 = 156. So the total number of possibilities for Full House is
Note that the multiplication principle is at work here. When we pick two ranks, the number of ways is 13 x 12 = 156. Why did we not use = 78?
Flush
There are = 1,287 possible hands with all cards in the same suit. Recall that there are only 10 straight flush on a given suit. Thus of all the 5-card hands with all cards in a given suit, there are 1,287-10 = 1,277 hands that are not straight flush. Thus the total number of flush hands is 4 x 1277 = 5,108.
Straight
There are 10 five-consecutive sequences in 13 cards (as shown in the explanation for straight flush in this section). In each such sequence, there are 4 choices for each card (one for each suit). Thus the number of 5-card hands with 5 cards in sequence is . Then we need to subtract the number of straight flushes (40) from this number. Thus the number of straight is 10240 – 10 = 10,200.
Three of a Kind
There are 13 ranks (from A, K, …, to 2). We choose one of them to have 3 cards in that rank and two other ranks to have one card in each of those ranks. The following derivation reflects all the choosing in this process.
Two Pair and One Pair
These two are left as exercises.
High Card
The count is the complement that makes up 2,598,960.
The following table gives the counts of all the poker hands. The probability is the fraction of the 2,598,960 hands that meet the requirement of the type of hands in question. Note that royal flush is not listed. This is because it is included in the count for straight flush. Royal flush is omitted so that he counts add up to 2,598,960.
Probabilities of Poker HandsPoker HandCountProbability2Straight Flush400.00001543Four of a Kind6240.00024014Full House3,7440.00144065Flush5,1080.00196546Straight10,2000.00392467Three of a Kind54,9120.02112858Two Pair123,5520.04753909One Pair1,098,2400.422569010High Card1,302,5400.5011774Total2,598,9601.0000000
___________________________________________________________________________
2017 – Dan Ma
Title:Titanic
Writer: James Cameron
Director: James Cameron
Major Actors: Leonardo DiCaprio, Kate Winslet, Billy Zane.
Year it was released: December 19th 1997
Story summary: The story Titanic is told by an old women by the name of Rose DeWitt Bukater stating her recollection of when her young self sailed on the Titanic and what event occurred during her stay. Her story was one tragic love story where she survived to share her story. While sailing aboard the Titanic on the upper class level, she met a man by the name of Jack Dawson who was a poor man who’d won his ticket to sail the titanic by playing a lucky hand of poker. They fell for each other fairly quickly when Rose was threatening to jump of the Titanic because of troubles in her life. Jack helped her of the ledge and saved her. Rose was already engaged to Caledon Hockley who was a rich ignorant man. Jack and Rose kept seeing each other on the boat even though Rose’s mother disapproved and was a rich snob just like Rose’s fiancé. One night while they were having fun on the lower levels of the ship, the Titanic hit a big iceberg they couldn’t avoid since it was much larger underwater than it appeared to be on the surface. That is when the Titanic began to sink fairly quickly. All women and children were ask to climb aboard small boats and some less fortunate poor people were left locked downstairs. Caledon hated Jack so much that he planted a very expensive piece of jewelery in Jack’s pockets to make it look like he stole it after he finished painting a picture of rose and while she was getting dressed. The security took him down in the lower levels and handcuffed him and left him there. Rose went to look for him and set him free with half the boat already sank. With a lot of struggle they finally managed to get on the deck of the ship where Rose was forced by her fiancé to get on a small boat. Rose was staring at Jack while she was being lowered and couldn’t bare the thought of being without him so she jumped off the small boat onto the sinking Titanic. Caledon tried to kill them because of his outrage that his fiancé was in love with another man pushing the couple in the lower levels of the sinking ship. After the ship sunk, Rose was laying on a floating door while jack was getting frozen by the icy waters holding on to the floating door. Free online slots jungle wild. Jack eventually died from being was too cold moments before help arrived. When Rose got to safety she saw Caledon looking for her and she hid from him. She had lost her true love and never forgot him.
Plot: The plot for this movie could be multiple things like a love story, tragic accident, the Titanic ETC. Start by a young couple meeting, falling in love, having a hard time being together because of the fiancé, the Titanic hitting an iceberg, Jack accused of stealing a valuable diamond, the ship sinking and Rose losing the love of her life.Titanic Jack Poker Hand Play
This movie was presented in the non-linearly form since it was going from the older rose telling her story as she remembered to the younger Rose. The story jumps back and forth in time. “Non-Linearly events move from the present to the future to the past, and so on, with no regard for chronological order” (Goodykoontz & Jacobs, 2011). I believe this aesthetic choice was great for this movie because the Titanic sank in the early 1900’s and was told like a memory from an old lady that was part of this tragic accident.
The character development was perfect for this story, you have one poor man, a rich women with a rich fiancé surrounded by rich people. All come from a different background. Jack would be the protagonist which the audience like him and is the main character, the villain also known as the antagonist would be Caledon. In a story, you always need a good protagonist and someone that the audience couldn’t care less about in order to get an impact on the story and make it interesting.
If the film Titanic would have followed a different presentation style, it wouldn’t have made a great story in my opinion. It was great to see the story told by a person that experienced being on the ship and living this tragedy. Also going back in forth in time is what made it so appealing.
References:Titanic Jack Poker Hand Game
Goodykoontz, B., & Jacobs, C. P. (2011). Film: From watching to seeing. San Diego, CA: Bridgepoint Education, Inc.
Titanic. (n.d.). IMDb. Retrieved May 29, 2014, from http://www.imdb.com/title/tt0120338/?ref_=fn_al_tt_1Titanic Jack Poker Hands
titanic_movie-HD.jpg. (n.d.). . Retrieved May 29, 2014, from http://www.hdwallpapers.in/walls/titanic_movie-HD.jpg
Register here: http://gg.gg/vhbzu
https://diarynote.indered.space
This post works with 5-card Poker hands drawn from a standard deck of 52 cards. The discussion is mostly mathematical, using the Poker hands to illustrate counting techniques and calculation of probabilities
Working with poker hands is an excellent way to illustrate the counting techniques covered previously in this blog – multiplication principle, permutation and combination (also covered here). There are 2,598,960 many possible 5-card Poker hands. Thus the probability of obtaining any one specific hand is 1 in 2,598,960 (roughly 1 in 2.6 million). The probability of obtaining a given type of hands (e.g. three of a kind) is the number of possible hands for that type over 2,598,960. Thus this is primarily a counting exercise.
___________________________________________________________________________Preliminary Calculation
Usually the order in which the cards are dealt is not important (except in the case of stud poker). Thus the following three examples point to the same poker hand. The only difference is the order in which the cards are dealt.These are the same hand. Order is not important.
J-Lo – Jennifer Lopez is honored with the hand. A Jack (J) and a low card (3) with the three also said to resemble her butt. Lumberjack – A Jack with a Tree (3). Playing this hand is like taking a buzzsaw to your bankroll. Jack-Two (J-2) The Prince and the Pauper – When suited, this hand refers to the famous story of two young boys. Titanic Jack Poker Hand gives you Titanic Jack Poker Hand Internet access via 3G, 4G, LTE, or Wi-Fi. We have listed for you some of the top mobile casinos around. They are all compatible with the Android and iPhone mobile platforms, and there are some that are even accessible from Windows Phone and BlackBerry devices.
The number of possible 5-card poker hands would then be the same as the number of 5-element subsets of 52 objects. The following is the total number of 5-card poker hands drawn from a standard deck of 52 cards.
The notation is called the binomial coefficient and is pronounced “n choose r”, which is identical to the number of -element subsets of a set with objects. Other notations for are , and . Many calculators have a function for . Of course the calculation can also be done by definition by first calculating factorials.
Thus the probability of obtaining a specific hand (say, 2, 6, 10, K, A, all diamond) would be 1 in 2,598,960. If 5 cards are randomly drawn, what is the probability of getting a 5-card hand consisting of all diamond cards? It is
This is definitely a very rare event (less than 0.05% chance of happening). The numerator 1,287 is the number of hands consisting of all diamond cards, which is obtained by the following calculation.
The reasoning for the above calculation is that to draw a 5-card hand consisting of all diamond, we are drawing 5 cards from the 13 diamond cards and drawing zero cards from the other 39 cards. Dakota dunes poker tournaments 2019. Since (there is only one way to draw nothing), is the number of hands with all diamonds.
If 5 cards are randomly drawn, what is the probability of getting a 5-card hand consisting of cards in one suit? The probability of getting all 5 cards in another suit (say heart) would also be 1287/2598960. So we have the following derivation.
Thus getting a hand with all cards in one suit is 4 times more likely than getting one with all diamond, but is still a rare event (with about a 0.2% chance of happening). Some of the higher ranked poker hands are in one suit but with additional strict requirements. They will be further discussed below.
Another example. What is the probability of obtaining a hand that has 3 diamonds and 2 hearts? The answer is 22308/2598960 = 0.008583433. The number of “3 diamond, 2 heart” hands is calculated as follows:
One theme that emerges is that the multiplication principle is behind the numerator of a poker hand probability. For example, we can think of the process to get a 5-card hand with 3 diamonds and 2 hearts in three steps. The first is to draw 3 cards from the 13 diamond cards, the second is to draw 2 cards from the 13 heart cards, and the third is to draw zero from the remaining 26 cards. The third step can be omitted since the number of ways of choosing zero is 1. In any case, the number of possible ways to carry out that 2-step (or 3-step) process is to multiply all the possibilities together.
___________________________________________________________________________The Poker Hands
Here’s a ranking chart of the Poker hands.
The chart lists the rankings with an example for each ranking. The examples are a good reminder of the definitions. The highest ranking of them all is the royal flush, which consists of 5 consecutive cards in one suit with the highest card being Ace. There is only one such hand in each suit. Thus the chance for getting a royal flush is 4 in 2,598,960.
Royal flush is a specific example of a straight flush, which consists of 5 consecutive cards in one suit. There are 10 such hands in one suit. So there are 40 hands for straight flush in total. A flush is a hand with 5 cards in the same suit but not in consecutive order (or not in sequence). Thus the requirement for flush is considerably more relaxed than a straight flush. A straight is like a straight flush in that the 5 cards are in sequence but the 5 cards in a straight are not of the same suit. For a more in depth discussion on Poker hands, see the Wikipedia entry on Poker hands.
The counting for some of these hands is done in the next section. The definition of the hands can be inferred from the above chart. For the sake of completeness, the following table lists out the definition.
Definitions of Poker HandsPoker HandDefinition1Royal FlushA, K, Q, J, 10, all in the same suit2Straight FlushFive consecutive cards,all in the same suit3Four of a KindFour cards of the same rank,one card of another rank4Full HouseThree of a kind with a pair5FlushFive cards of the same suit,not in consecutive order6StraightFive consecutive cards,not of the same suit7Three of a KindThree cards of the same rank,2 cards of two other ranks8Two PairTwo cards of the same rank,two cards of another rank,one card of a third rank9One PairThree cards of the same rank,3 cards of three other ranks10High CardIf no one has any of the above hands,the player with the highest card wins
___________________________________________________________________________Counting Poker Hands
Straight Flush
Counting from A-K-Q-J-10, K-Q-J-10-9, Q-J-10-9-8, …, 6-5-4-3-2 to 5-4-3-2-A, there are 10 hands that are in sequence in a given suit. So there are 40 straight flush hands all together.
Four of a Kind
There is only one way to have a four of a kind for a given rank. The fifth card can be any one of the remaining 48 cards. Thus there are 48 possibilities of a four of a kind in one rank. Thus there are 13 x 48 = 624 many four of a kind in total.
Full House
Let’s fix two ranks, say 2 and 8. How many ways can we have three of 2 and two of 8? We are choosing 3 cards out of the four 2’s and choosing 2 cards out of the four 8’s. That would be = 4 x 6 = 24. But the two ranks can be other ranks too. How many ways can we pick two ranks out of 13? That would be 13 x 12 = 156. So the total number of possibilities for Full House is
Note that the multiplication principle is at work here. When we pick two ranks, the number of ways is 13 x 12 = 156. Why did we not use = 78?
Flush
There are = 1,287 possible hands with all cards in the same suit. Recall that there are only 10 straight flush on a given suit. Thus of all the 5-card hands with all cards in a given suit, there are 1,287-10 = 1,277 hands that are not straight flush. Thus the total number of flush hands is 4 x 1277 = 5,108.
Straight
There are 10 five-consecutive sequences in 13 cards (as shown in the explanation for straight flush in this section). In each such sequence, there are 4 choices for each card (one for each suit). Thus the number of 5-card hands with 5 cards in sequence is . Then we need to subtract the number of straight flushes (40) from this number. Thus the number of straight is 10240 – 10 = 10,200.
Three of a Kind
There are 13 ranks (from A, K, …, to 2). We choose one of them to have 3 cards in that rank and two other ranks to have one card in each of those ranks. The following derivation reflects all the choosing in this process.
Two Pair and One Pair
These two are left as exercises.
High Card
The count is the complement that makes up 2,598,960.
The following table gives the counts of all the poker hands. The probability is the fraction of the 2,598,960 hands that meet the requirement of the type of hands in question. Note that royal flush is not listed. This is because it is included in the count for straight flush. Royal flush is omitted so that he counts add up to 2,598,960.
Probabilities of Poker HandsPoker HandCountProbability2Straight Flush400.00001543Four of a Kind6240.00024014Full House3,7440.00144065Flush5,1080.00196546Straight10,2000.00392467Three of a Kind54,9120.02112858Two Pair123,5520.04753909One Pair1,098,2400.422569010High Card1,302,5400.5011774Total2,598,9601.0000000
___________________________________________________________________________
2017 – Dan Ma
Title:Titanic
Writer: James Cameron
Director: James Cameron
Major Actors: Leonardo DiCaprio, Kate Winslet, Billy Zane.
Year it was released: December 19th 1997
Story summary: The story Titanic is told by an old women by the name of Rose DeWitt Bukater stating her recollection of when her young self sailed on the Titanic and what event occurred during her stay. Her story was one tragic love story where she survived to share her story. While sailing aboard the Titanic on the upper class level, she met a man by the name of Jack Dawson who was a poor man who’d won his ticket to sail the titanic by playing a lucky hand of poker. They fell for each other fairly quickly when Rose was threatening to jump of the Titanic because of troubles in her life. Jack helped her of the ledge and saved her. Rose was already engaged to Caledon Hockley who was a rich ignorant man. Jack and Rose kept seeing each other on the boat even though Rose’s mother disapproved and was a rich snob just like Rose’s fiancé. One night while they were having fun on the lower levels of the ship, the Titanic hit a big iceberg they couldn’t avoid since it was much larger underwater than it appeared to be on the surface. That is when the Titanic began to sink fairly quickly. All women and children were ask to climb aboard small boats and some less fortunate poor people were left locked downstairs. Caledon hated Jack so much that he planted a very expensive piece of jewelery in Jack’s pockets to make it look like he stole it after he finished painting a picture of rose and while she was getting dressed. The security took him down in the lower levels and handcuffed him and left him there. Rose went to look for him and set him free with half the boat already sank. With a lot of struggle they finally managed to get on the deck of the ship where Rose was forced by her fiancé to get on a small boat. Rose was staring at Jack while she was being lowered and couldn’t bare the thought of being without him so she jumped off the small boat onto the sinking Titanic. Caledon tried to kill them because of his outrage that his fiancé was in love with another man pushing the couple in the lower levels of the sinking ship. After the ship sunk, Rose was laying on a floating door while jack was getting frozen by the icy waters holding on to the floating door. Free online slots jungle wild. Jack eventually died from being was too cold moments before help arrived. When Rose got to safety she saw Caledon looking for her and she hid from him. She had lost her true love and never forgot him.
Plot: The plot for this movie could be multiple things like a love story, tragic accident, the Titanic ETC. Start by a young couple meeting, falling in love, having a hard time being together because of the fiancé, the Titanic hitting an iceberg, Jack accused of stealing a valuable diamond, the ship sinking and Rose losing the love of her life.Titanic Jack Poker Hand Play
This movie was presented in the non-linearly form since it was going from the older rose telling her story as she remembered to the younger Rose. The story jumps back and forth in time. “Non-Linearly events move from the present to the future to the past, and so on, with no regard for chronological order” (Goodykoontz & Jacobs, 2011). I believe this aesthetic choice was great for this movie because the Titanic sank in the early 1900’s and was told like a memory from an old lady that was part of this tragic accident.
The character development was perfect for this story, you have one poor man, a rich women with a rich fiancé surrounded by rich people. All come from a different background. Jack would be the protagonist which the audience like him and is the main character, the villain also known as the antagonist would be Caledon. In a story, you always need a good protagonist and someone that the audience couldn’t care less about in order to get an impact on the story and make it interesting.
If the film Titanic would have followed a different presentation style, it wouldn’t have made a great story in my opinion. It was great to see the story told by a person that experienced being on the ship and living this tragedy. Also going back in forth in time is what made it so appealing.
References:Titanic Jack Poker Hand Game
Goodykoontz, B., & Jacobs, C. P. (2011). Film: From watching to seeing. San Diego, CA: Bridgepoint Education, Inc.
Titanic. (n.d.). IMDb. Retrieved May 29, 2014, from http://www.imdb.com/title/tt0120338/?ref_=fn_al_tt_1Titanic Jack Poker Hands
titanic_movie-HD.jpg. (n.d.). . Retrieved May 29, 2014, from http://www.hdwallpapers.in/walls/titanic_movie-HD.jpg
Register here: http://gg.gg/vhbzu
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