Ib Math Exploration Blackjack

April 26, 2018

Is 20 pages too long for an HL Maths Exploration IBO. Search for tutors by subject A Probability student asked our tutors for a written lesson (October 13, 2014):

How is it faster to simulate as opposed to just calculate?Log in or Sign up log in sign up Sort bybestbest top new controversial old q&a level 1 cold_hands1 Alumni | [M18]2 points · 2 months ago An exploration into the Bayes Theorem in context of poker would be pretty cool.

Ib math ia poker edward Stevens for math IA. Hub Video ..) Thank you very much for your reply.Poker Math and Probability.

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What is a good topic for a maths.
You can get your own poker ratings and stats listed on Official Poker Rankings.
None of the math is up to the ..
One of those was a 10-to-1 payoff for a hand consisting of the ace of spades and a black jack (that is, the jack of spades or the jack of clubs).1/3 .
At the beginning of a hand, if the player has two cards with the same number (that is, a pair) she has the option of splitting the pair and playing two hands.
Bluffing and exploitation An introduction to poker maths.

IB Mathematics SLStatistics and Probability Wikibooks

Are there any good Math HL exploration topics in Statistics and Probability? Higher or standard level. Will Lightning Base Components fully replace SLDS?

Get one more card.
If I just had the steps to take for 1 example I would be very happy.This is more likely than any other value because there are four cards with that value.
The IB DP higher level mathematics course focuses on developing im.
Ib math ia poker / Drive-cliche.gq Ib math ia poker The Mathematics of Bluffing IB Maths Resources from.More information on poker mathematics.
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You gain knowledge of the cards in the shoe that are removed instead. Math ia gambler's fallacy math ia topics probability math ia blackjack math ia ib math ia blackjack ib math ia proposal game theory math ia ib math hl ia topics tangrams math ia designing bridges math exploration math ib topics ib math exploration examples the mathematics of poker poker maths games poker math poker math book ib math project ideas learn math through poker blackjack mathematics card counting blackjack math games blackjack math test blackjack math paper how to calculate blackjack probabilities blackjack probability theory blackjack probability table gambler's fallacy math ia math behind blackjack probability of getting 20 in blackjack blackjack probability calculator poker math ia ib math ia questions math ia examples math sl ia topics sports math ia economics math sl ia statistics example math ia trigonometry The Mathematics of Bluffing | IB Maths Resources from British ..1).

IBO Posts FAQ Wiki Resources Discord 2 Posted by u/Thepokerguru Year 1 2 months ago I want to do my math IA about poker, any suggestions? A) If Player 1 has checked, Player 2 must also check. This means both cards are turned over and the highest card wins.Images for blackjack math exploration MATH IA EXPLORATION.docx - Course Hero 12 Oct 2013 .. Party Poker Data Mining

This casino game is so easy to win .. He'd like to fold if Tom has A♠, but if Tom is bluffing with Q♠, he'd like to call.0 Probability of Disjoint Hands Across Rounds of Cards 4 Weighted War - Game of Mind and Probability 1 Probabilities of Hands in a Poker-like game with a 48 card deck with 6 suits of 8 cards each 2 Stopping Problem Question 0 Probability question - Hi-Low Card Game Hot Network Questions Are there situations where a time signature is unknown?

– Francis Rodgers Aug 4 '11 at 0:01 | show 2 more comments up vote 0 down vote Ed Thorp was the first to devise a system for beating casino blackjack, by simulating millions of deals on an IBM computer and turning the results into a card counting system. I dont think there are may other combinations (might be wrong).

I'm interested in doing my HL Maths IA on the game of 'Blackjack' (a card

For starters, you can use this Blackjack probability chart that will help you decide on your next move.
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If so we dont know the down card is a 10.
Face cards (Jack, Queen, and King).
Read more Annual General Assembly of Caravan 2000 The Assembly was held on 13 November in Vienna.
The feedback you provide will help us show you more relevant content in the future.Undo Answer Wiki 1 Answer A good idea for an exploration in IB math (it doesn't matter whether it is HL or SL) is to yse the probability of an event in a game card.

IA Exploration Application of Probability in Economics.IB Math SL IA Topics. And take it from there.Show all About the tutor Kartik S.

Communication Criterion B. (If you don't want to see all the maths, skip ahead .) The decision tree for the AKQ game.Graphically we can solve this problem by creating 2 equations in 3D:

Internal assessment criteria. Casino Gym Launceston ; double canoes, 206 ; balancing1 a .. New Casino Near Alexandria Louisiana Player 2 Expected Value = b/12(-1+7c) – 3c/12 This has a saddle point at b = 3/7, c = 1/7. So the optimal strategy is 3/7 bluffing and 1/7 calling. If Player 2 calls more than 3/7 then Player 1 can never bluff (b = 0), leaving Player 2 with a negative Expected Value. If Player 2 calls less than 3/7 then Player 1 can always bluff (b = 1).First, you and your tutor agree on:

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N Zero is the number of hands theoretically required before hitting a goal of being ahead by one standard deviation (4*N0 gives you the hours to overcome 2 SD). To get the most accurate evaluation of N0 one must play by the same set of rules and the same betting/playing strategies.
Your tutor will return the completed work to you by the specified deadline.We can also rearrange the expression for to get A similar argument shows that Tom’s unexploitable bluffing frequency is John can maximally exploit any deviation from this strategy by either always calling with K♠ (), if Tom bluffs too often, or always folding with K♠ (), if Tom doesn’t bluff often enough.
0 So, working out all branches gives:
0 = 0.5x – 1/6 0 = = 0.5y -1/6 x = 1/3 y = 1/3 We can then see that this is a saddle point by using the formula:

IBO I want to do my math IA about poker, any suggestions?

Surrender - In some Casinos, you can throw the white flag on a hand before you get in too deep if you aren't confident about it.G.D. Read more New Project "Employability of People with Disabilities" The IB wins a new EU Project in Turkey.In principle, a pair of aces should of course be split, but in this case blackjack rules allow you to get only one card on each hand, and getting a 10 does not make a blackjack. OPR500 Alan_N.I.B.the cost)  2) a deadline.

There are already mathematical methods for blackjack which you could ..
Face cards count as 10 and an ace may be counted as 1 or 11.
The basic equation of figuring CE. EV-( (bet size*Standard Deviation)^2)/(2*Kelly factor*BR) *Any easy way to think about the concept behind CE:
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If you sit in the "Third Base" position (i.e.
0 1/3 .
After all of the players have finished, the dealer reveals the hole card and plays the hand with a fixed strategy:

Curiousity is actually spelled curiosity . http://s464114779.mialojamiento.es/casino-central-la-paz-baja-california-sur 4 of these cards are gone out of the deck leaving 48 (these 4 cards are the first 4 used in play above) 4). Rivers Casino Des Plaines

Twenty-deck poker), ib. The early forerunners of poker originated in Europe in the middle ages, including brag in England and pochen (meaning to bluff) in Germany.

Blackjack or Twenty-one (seen the movie 21 ?) is the most popular casino game and the most researched one. Probability in Guess Who - SlideShare Example Math Studies IAs | Mr.

Blackjack. Going back to our original example of $25 EV per hour, we would find our N0 by the following equation N0= Variance/EV^2. Osrs How To Get Maple Blackjack

What is a good topic for a maths. Poker statistics and poker ratings Alan_N.I.B.

The IB has recommended 12

. For the probability of achieving 20 points (receiving a 3), we have nx = 0, nv = 5, so:
Close I want to do my math IA about poker, any suggestions?
I was wondering if there was any word limit.
The only decisions are whether Tom bluffs with Q♠ (at frequency b ) and whether John bluffcatches (calls) with K♠ (at frequency c ).
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The IB DP higher level mathematics course focuses on developing im.if you knew well about it!

Let us calculate the probability of achieving 21 points (receiving a 4).read more New Project "Supporting the Capacity of the HRD OS" The IB wins a new EU Project in Turkey. Ace-6, Ace-Ace-5, or Ace-2-4. Mark Slot Entertainment Quarter

Hey, that's a tax requirement in any jurisdiction! Calculating Texas Holdem Pot Odds Fundamental Myth of Blackjack Gambling:This article will explain four of the most common blackjack math terms used by card counters and advantage players, as well as how they affect advantage play and card counting.

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Blackjack What is the mathematics behind card counting in Blackjack?

It is essential that you read the following guidance from the IB prior to starting your IA.
Subscribe to thepokerbank 5/10 (Click table headings to sort) Check out the Mathematics of NL Hold'em series by WiltOnTilt from Deuces Cracked.
The feedback you provide will help us show you more relevant content in the future.Undo Answer Wiki 1 Answer A good idea for an exploration in IB math (it doesn't matter whether it is HL or SL) is to yse the probability of an event in a game card.
Meaning how exactly are the three examples above worked out.Wikibooks, open books for an open world IB Mathematics SL.
My extended is about probabilty in gambling but i still havent decided what game am ..
Add new comment Comments Poker Theory Permalink Submitted by Anonymous on August 18, 2013 Please, more articles on bluffing theory!

IB Mathematics Extended Essay Titles

That's certainly what I used to think. P3 Calculus May 2016 – some thoughts Why is IB HL Maths so hard Could Trump be the next President of America?(New to Card counting?

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For example, Player 2 has no way of winning any money with a Queen – and this is represented by the left branch £0, £0. Player 2 will always win with an Ace. If Player 1 has a Queen and bluffs then Player 2 will call the bet and so will have gained an additional £1 of his opponents money relative to a an initial game showdown (represented by the red branch). Player 1 will always check with a King (as were he to bet then Player 2 would always call with an Ace and fold with a Queen) and so the AK branch also has a £0 outcome relative to an initial showdown. IB HL Math Internal Assessment The Mathematical Exploration Last modified by.Is 20 pages too long for an HL Maths Exploration IBO.

IA Exploration. Instead of using a full deck, we're going to use just three cards — A♠, K♠ and Q♠ — and we're only going to allow two players to play — let's call them John and Tom. Northern Lights Casino Walker Mn Cajun Fest

More information on poker mathematics

D = z (where z xx means the partial 2nd derivative with respect to x and z xy means the partial derivative with respect to x followed by the partial derivative with respect to y.1963 Yearbook by La Salle College High School - issuu Issuu is a digital publishing platform that makes it simple to publish magazines, catalogs, newspapers, books, and more online. At the beginning of a hand, if the player has two cards with the same number (that is, a pair) she has the option of splitting the pair and playing two hands.

But I wanted to post one of a basic strategy table with the rules specified. 10,200 in 2,598,960 = 1/255.8 Three of a Kind:

In the long run, whatever you do, you will on average lose money. Read more Annual General Assembly of Caravan 2000 The Assembly was held on 13 November in Vienna. I have seen threads about this in the forum but i have never been told what it is. Thank you in advance. Best Regards Link to post Share on other sites 26 The Mathematics of Bluffing | IB Maths Resources from British International School Phuket The Mathematics of Bluffing 5 comments The Mathematics of Bluffing This post is based on the fantastic PlusMaths article on bluffing– which is a great introduction to this topic. If you’re interested then it’s well worth a read. This topic shows the power of mathematics in solving real world problems – and combines a wide variety of ideas and methods – probability, Game Theory, calculus, psychology and graphical ysis. Introduction (include a rationale - why did you choose the topic + math you will explore) Your Exploration (include a lot of maths obviously but also include consistent reflection (evaluate your methods, implications for what you explore in the real world, why this is relevant, and how you would things differently.) Needs a lot of clear personal engagement (prove to the teacher the topic you choose is something that you like and are passionate about. Casino Puerto Varas Espectaculos 2018

I would suggest you take a look at some of the old math IA's and try to do some of the last questions in each of them.
Gold Medal heights IB IA.Bluffing and exploitation:
Links Blackjack Blackjack (also known as twenty-one or sometimes pontoon) is one of the most popular casino card games in the world.
All you have to do is play some of the tournaments within coverage on one of the poker sites supported by OPR.Each of these strategies leads to a player disadvantage of about 6%.
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The feedback you provide will help us show you more relevant content in the future.Undo Answer Wiki 1 Answer A good idea for an exploration in IB math (it doesn't matter whether it is HL or SL) is to yse the probability of an event in a game card. This is his unexploitable calling (bluff catching) frequency.

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Strengthening Being Human Our goal is to help people to develop in freedom, to shape their own lives, to integrate into society, to take on personal responsibility and to actively help shape the development of society. Poker originated in Europe in the middle ages.

I have seen how one individual doing the Maths HL course struggled to find a topic. Search What can I do in maths exploration IB in statistics or probability?

Is there any .. Do note that as the potential topics for maths IA.

What is a good topic for a maths higher or standard level

What is Internal Assessment in IB Mathematics. When you have played 12 tournaments within coverage, you will be rated among players like Alan_N.I.B. https://www.geronto.fau.de/river-boat-casino-in-louisiana

A player with A♠ knows that he has the best hand.Bluffing and exploitation An introduction to poker maths. Hendon Mob Poker Database Ib Sandmand's Poker Statistics: Your tutor will return the completed work to you by the specified deadline.[IA] MATH IA HELP !

Hit on 16 or less and stand on 17 or more.
Standard deviation and variance go hand in hand (SD is actually the square root of variance).
We have nx = 2, nv = 5, so:
In this case, the house advantage is 0%, as is the player advantage.
Tom can now either bet £1 or check.

IB Math Exploration Rubric A

In this game, suits do not matter. Fortunately all areas of blackjack math are pretty much done for you in a program called CVCX by QFIT.And that we would have to do another set of possibilities for the dealer with say 6+9, and another with 6+8 and so on.

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Is it worth it?
The basic idea is to see if your probability of winning the hand is increased by drawing over standing.
Blackjack is not a game that resets completely after each round.
Fundamental Probability Issue:

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Blackjack is also the most researched game ever.Hendon Mob Poker Database 900 × 600 - 147k - jpg best-craftsman-wrench-..poker statistics and poker ratings. Sofa Poker Producent The Zen Guide to Blackjack Math by Giovanni Angioni, Ruta Rimkiene 2019-01-09 Let's explore the mathematics of blackjack and learn how to use math to win at blackjack with an instructional video from Carleton University.The IB-Group is politically non-aligned and non-denominational.500 × 500 - 31k - jpg ibmathsresources.com The Mathematics of Bluffing | IB Maths Resources from British .. Reno Gambling Age Limit The Maths Behind Blackjack Tom from Communication Group 34 takes you through the maths of blackjack!The heart of the matter is a worthless concept known as card counting .

8 May 2008 ..
Email (required) (Address never made public) Name (required) Website You are commenting using your WordPress.com account.123,552 in 2,598,960 = 1/21.04 One Pair:
Are my assumptions correct so far, and am I correct in assuming that 6+10 is only one possibible hand for the dealer.
Assuming you stand, you have to calculate the chance dealer will bust, which means pairing all types of card with the 6 (13 cases) and we already have 7*13=91 things to check.Maths is integral to all forms of gambling – the bookmakers and casino owners work ..
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Quora Sign In What can I do in maths exploration IB in statistics or probability?

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ONLY person in his HL Math Class that got a on his Math IA. The Fundamental Probability Issue:Face value cards.

What is Blackjack? Poker originated in Europe in the middle ages. OPR500 Alan_N.I.B.Ok that does make a difference as you pointed out.

It is possible to yse these equations numerically to find the optimal values (this method is explained in the article), but it’s more mathematically interesting to investigate both the graphical and calculus methods.
After the player is dealt her initial two cards she has the option of doubling her bet and asking for one additional card (which is dealt face down).This is the product of taking the expected win rate and adjusting it based on the level of risk in proportion to the current bankroll and level of risk tolerance. This will show you if the game is “worth playing” compared to your bank size.
ShareSave level 3 projectninja69 1 point · 2 months ago Idk my mark but it was pretty good in the end shareSave level 1 Shmens 1 point · 2 months ago The first thing our math teacher (which is also our ib coordinator) told us about the IAs is to not do any game theories like poker, card games etc.
You would probably expect that there is no underlying mathematical strategy for good bluffing in poker – indeed that a good bluffing strategy would be completely random so that other players are unable to spot when a bluff occurs. However it turns out that this is not the case.

I do have a strong interest in blackjack

For a list of community related shortcuts such as for ..
Example IAs graded based on current guidelines:
Let's call p the total probability of winning a pass line bet (so p is the number we are trying to calculate).
Live Work with your tutor in Written e.g.International Baccalaureate Maths section.

This exploration will closely examine the methods of decision-making for the .. Communication Criterion B. Leelanau Sands Casino Hours

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MATH EXPLORATION

But something which allows me to use the required amount of HL Mathematics skills and knowledge. I would also like to ask, how is the Maths IA structured what must it contain? Best Regards, and Thank you in advance Share this post Link to post Share on other sites 26 I think that investigating Game Theory would definitely cover you in the criterion for Sophistication in Mathematics --> Investigating something like how probability/game theory is used to explore the best strategies for bluffing in poker might be a good place to start:
Share | cite | improve this answer answered Aug 3 '11 at 17:28 Ross Millikan 275k21183348 I can appreicate the need for simulation (to test a theory or formula).find out how mathematics plays an integral role in Blackjack.
1/10 chance at $20,000?
36 in 2,598,960 = 1/72,193.33 Four of a Kind:Understanding expected value also helps maximise winnings. Say 2 people both enter the lottery – one chooses 1,2,3,4,5,6 and the other a randomly chosen combination. Both tickets have exactly the same probability of winning (about 1 in 14 million in the UK) – but both have very different EV. The randomly chosen combination will likely be the only such combination chosen – whereas a staggering 10,000 people choose 1,2,3,4,5,6 each week. So whilst both tickets are equally likely to win, the random combination still has an EV 10,000 times higher than the consecutive numbers.

I am starting the IB in september and will be doing the Maths HL course

>$0 - $1) Find other ranked poker players on the OPR Poker Leaderboards OPR Rankings League: 15 Mar 2017 - 6 min - Uploaded by Casino MathsTom from Communication Group 34 takes you through the maths of blackjack!

This student written piece of work is one of many that can be found in our International Baccalaureate Maths section. . Back To Blog A complete blackjack card counting system designed to teach you how to beat the game of blackjack for big profits.As you suggested we only have 8+6, 9+5, 10+4, 7+7, Ace(A)+3, also can have A+A+2, and A+A+A+A. Igrice Poker Texas 2

!core! If the player's first two cards total 21, this is a blackjack and she wins 1.5 times her bet (unless the dealer also has a blackjack, in which case a tie results), so she gets back 2.5 times her bet.You will also find there other issues of probability-based blackjack strategy .

Math ia gambler's fallacy math ia topics probability math ia blackjack math ia ib math ia blackjack ib math ia proposal game theory math ia ib math hl ia topics tangrams math ia designing bridges math exploration math ib topics ib math exploration examples the mathematics of poker poker maths games poker math poker math book ib math project ideas learn math through poker blackjack mathematics card counting blackjack math games blackjack math test blackjack math paper how to calculate blackjack probabilities blackjack probability theory blackjack probability table gambler's fallacy math ia math behind blackjack probability of getting 20 in blackjack blackjack probability calculator poker math ia ib math ia questions math ia examples math sl ia topics sports math ia economics math sl ia statistics example math ia trigonometry The Mathematics of Bluffing | IB Maths Resources from British ..I want to do my maths HL IA on probability of an activity, but I .. This is more about blackjack mathematics than anything else.

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More Ideas for the IA.Then, blackjack is the king of the casino.
1) Should Player 1 bluff with a Queen?
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Blackjack Math vs. The probabilities of events predicted during the game are calculated on the basis of the played cards (the cards showing) from a certain moment.0 1/3 .

If he bets, John will fold with Q♠ and call with A♠ — he cannot expect John to call with a worse hand or fold a better hand. Mathematics Exploration on Probability in Poker I want to make theoretical yses of several different ..IBO - Reddit Can maths help you win at roulette?

Theory of Streaks : Https://www.youtube.com/watch?v=bOl-y..Rule Video:If the dealer up card is 6, and your two cards show a total of 14 (perhaps 8 and 6, or 9 and 4, it does not matter the combination), you should stand (take no more cards).

Suppose you bet $1 at each of 10,000 bets playing the basic strategy. 10 Feb 2016 ..

Poker ratings, Alan_N.I.B.
Our goal is to help people to develop in freedom, to shape their own lives, to integrate into society, to take on ..
Fortunately all areas of blackjack math are pretty much done for you in a program called CVCX by QFIT.
Related Website Stats 5,216,102 views Recent Posts World Cup Maths:Each player can then hit (ask for an additional card) until her total exceeds 21 (this is called busting) or she decides to stand (stop taking cards for the rest of the hand).
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The subreddit for the International Baccalaureate Diploma Programme (IBDP).There are plenty of books dedicated to the so-called mathematics of blackjack.
What about a 50/50 chance at $101?

How do you study for IB Math SL

0 What are the chances of having certain cards on certain turns if you draw one card each turn?
Filmed under controlled conditions with no camera trickery he is still able to toss a coin 10 times and get heads each time. The question is, how is this possible? The answer – that this short clip was taken from 9 hours of solid filming is quite illuminating about our susceptibility to be manipulated with probability and statistics. This particular technique is called data mining (where multiple trials are conducted and then only a small portion of those trials are honed in on to show patterns) and is an easy statistical manipulation of scientific and medical investigations.
As Muhammad Ali put:
This shows you are $500 below expectation which is the VARIANCE of what you would expect to win, on the flip side you could always be $500 ahead of your EV.(Anybody who has played poker seriously should be able to recognise a bluff, a value bet, a hand with showdown value and a bluff catcher in this discussion.) In the absence of any frantic ear tugging or eyelid twitching from either player, John and Tom need to think mathematically about this game in order to work out sensible strategies when they play repeatedly.
Let's explore the mathematics of blackjack and learn how to use math to win at blackjack with an instructional video from Carleton University.
Theory of Streaks :https://www.youtube.com/watch?v=kFjYB..

Is there any .. Bridge Canyon Poker Run A bet from Tom with Q♠ is a bluff.As a result if we called every time, we would lose $12 (3 x $4) and win $14 after 4 hands.

0 Probability of Disjoint Hands Across Rounds of Cards 4 Weighted War - Game of Mind and Probability 1 Probabilities of Hands in a Poker-like game with a 48 card deck with 6 suits of 8 cards each 2 Stopping Problem Question 0 Probability question - Hi-Low Card Game Hot Network Questions Are there situations where a time signature is unknown? Can maths exist if you can't see it?

Where should a newly added item go in table? In principle, a pair of aces should of course be split, but in this case blackjack rules allow you to get only one card on each hand, and getting a 10 does not make a blackjack.

And take it from there.Show all About the tutor Kartik S. You have to take the prob of your hand busting, against the prob of the dealer busting. Cadeaux Geant Casino Smiles