Roulette Math Tricks
Home 10 Roulette Tips The Maths Behind Roulette Roulette is a game of numbers and chance. You can sit around studying the odds in roulette and the outcomes of trying to predict where that little ball will next end up but unfortunately you will be wasting a great deal of your time. A few of my friends just became the legal age in Australia so we decided to try our luck at roulette. I wasn't surprised when a few of them thought they had magical predicting powers after guessing the right colour two or more times in a row - but then I was quite dissappointed to see that one of my more intelligent friends (that's close to my level in maths and even better than me at. Math does help one win at roulette but it should be noted that it is a game of chance and one may incur a lot of losses or get huge winnings depending on their luck. There are many online casino registration points such as 918Kiss Register that you can use to set up an online account with a casino service provider. Roulette is a drain on your wallet simply because the game doesn’t pay what the bets are worth. With 38 numbers (1 to 36, plus 0 and 00), the true odds of hitting a single number on a straight-up bet are 37 to 1, but the house pays only 35 to 1 if you win! Ditto the payouts on the combination bets. Outside bets offer the best odds of winning at roulette. These types of wagers are placed on groups as opposed to just numbers, for example odd or even, red or black, 1-18 or 19-46, dozen bets,.
Video poker is an electronic form of the traditional five-card draw poker that dates back to the 70 years of the 20th century. It is played in the standard way – the player is dealt five cards and is then given the chance to replace any number of the cards in the hand by an equal number of cards the dealer is to draw from the deck.
The outcome and the amount that is to be paid out to the player is determined by the rank of the resulting hand and the bet size. Of course, mathematics is different to the various type of video poker games, but there are some major principles that are applied to both Jacks or Better, Deuces Wild, etc.
Video Poker Mathematics
As a matter of fact, improving your video poker game is not only done by learning a helpful basic strategy. In fact, players should bear in mind the fact that they should also learn how to make their own analysis of the variety of draws they may be face over the gameplay.
Mathematics is a crucial part of both the traditional game of poker and its video variation. Even for more inexperienced players, mathematics should be a key factor, especially when it comes to probability and how it actually is associated with poker. When it comes to probability, dealing certain hands is always involved in making strategy and relates to mathematics in order for a player to understand what the likelihood of them winning is. In addition, understanding the video poker mathematics can really help players remain emotionally stable and focus on their decisions.
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Probability
Likelihood, most commonly known as probability, is one of the major terms when it comes to video poker. It is exactly what has a lot in common with the possibility for a certain outcome to occur.
The theory of probability is easy to understand when a coin is flipped, but things get a lot harder when card games are concerned, as a large number of eventual outcomes occur. Each card deck in the game of poker consists of 52 cards divided in four suits and thirteen ranks.
This makes the odds of the player getting an Ace as their first card equal to 7.7%, or 13 to 1. On the other hand, for example, the odds of holding a spade from any of the four suits as a first card are about 25%, or 4 to 1.
Poker mathematics is also considered as not so easy as expected because every card alters the outlook of the remaining part of the deck after being dealt. For instance, when a player receives an Ace as their first card, there will only three more Aces left in the remaining deck of 51 cards. This basically means that the odds of getting another Ace card are 3 in 51, or 5.9%, which makes them much smaller than the chances at the beginning, before the first Ace to be dealt.
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Roulette Math
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Jacks or Better Math
Pocket Pairs' Pre-Flop Likelihood
Players would probably be interested in finding the chances of being dealt a pair of Aces. In order to that, they need to multiply the chances of getting such a card twice.
Getting an Ace has the probability of 4/52, but the odds of getting another Ace are 3/51. Then, players would have to multiply (4/52)x(3/51) to get 1/221, which is about 0.45%. So, if a player enters a long gaming session and is dealt an overall of 30 hands an hour, they could expect to be dealt the so-called pocket Aces once in every 7.5 hours.
Pre-flop Probabilities of Hand against Hands
After all, no matter if players are posed in the conditions of a land-based or online casino, their hands are always measured up against the ones of the player's opponents, especially in the cases when a player uses the all-in option before the flop.
There are several most common probabilities that need to be considered. First, if a player holds a High Paid, and their opponent have two Low Cards, the probability for them to win equals 83%. In case of the player holding a High Pair, and their opponent having a Low Pair, the probability of winning is reduced to 82%.
If the player holds a Middle Pair, and the other player holds one High and one Low card, the probability for the first to win is about 71%. This percentage is even lower in the cases when the first player holds two High cards, and their opponent – two Low Cards. The probability of winning equals 55% when the player has two High Cards, while their opponent holds a Low Pair.
Post-Flop Probabilities
Of course, there is a chance for a certain event to occur while playing certain starting hands. Players should be aware how to take the best advantage of them without overvaluing them what is normally the case with suited cards. Unfortunately, such cards do not make flushes quite often. The same also applies to pairs, which make a set on the flop in only 12% of the time.
When it comes to the probability that certain starting hands will occur at the flop, players could be interested to check the information below.
The probability that Non-pairs will pair at least 1 card equals 32%, which makes the odds 2 to 1. When it comes to two suited cards that could make a flush, the odds are pretty small – 15 to 1, while the probability is only 6.50%. The probability of two suited cards to flop a flush is 0.85%, as the odds amount to 118 to 1.
Players are provided with a 10.90% probability of two suited cards flop a four flush, which means that the odds would equal 9 to 1. The probability of a pair flopping a set, on the other hand, is 12.00%, and the odds for that to happen amount to 8 to 1. And last but not least, the probability for a pair to flop four of a kind is 0.25%, making the odds 400 to 1.
Probability
If one understands the basics of probability theory, then in roulette especially it is very easy to test betting systems mathematically. Here is the step by step logic of applying probability in roulette to the possible outcomes.
First, all the mathematics used here is based on a European single 0 wheel since the house edge is half the American version.
We know that the probability of an event happening is the chances of that event compared to all the possible events. For instance, when you flip a coin there are 2 possible outcomes: heads, tails. If you want to know what is the probability that the coin will come up heads, then that would be: heads / (heads + tails) = 1/2 = .5. Likewise when playing an even money bet at roulette, that option covers 18 of the 37 possible outcomes: 18/37=.48648649.
To find out the effect the odds have on a measurable outcome, we can apply that outcome to all possible results. So if we’re playing $1 on black, then we know that for 18 of 37 outcomes we will net $1 profit, and for 19 of the 37 possible outcomes we will net a $1 loss. ((18/37)*1)+((19/37)*-1)=-.02702703. This shows the house advantage on any single spin applied to your bankroll. We know that if you place $1 on any even number bet on average you will loose almost three cents per spin or $27 over 100 spins.
This is valuable when looking at more complicated betting within the layout of the table. For instance, if you consider on the thirds position that the return is 2:1. Let’s look at the extremes. If you place a bet on one of the three options, then you are obviously playing against probability: 12/37=.32432432 probability to win. If you place $1 on all three of the possible options, then for 36 of 37 numbers you will loose $2, make $2, and have the bet on the winning third returned to you for a net profit of $0. This of course makes no sense at all, but you’ll win almost every time if you’re in it to feel like a winner however if your considering a system you’re trying to make money. If we hedge the single bet with the second possible bet and place $1 on the first two of the thirds, then we cover 24 of 37 numbers 24/37=.64864865. We’re guaranteed to lose one bet, but if the other hits then we make $2, minus the one lost, plus the winning bet returned makes a net profit of $1 – and here’s the kicker – our chance of winning on any single bet is greater than 50% (64.86% to be precise).
We know that roulette is an independently random game where the results of one action does not affect the odds of a second action, so presented like this one might see this a winning system of finding a way to shift the odds in your favor. However if we analyze all the possible outcomes we see that the proposition is a losing one. 24 of 37 possible outcomes net us $1. On 13 of 37 possible outcomes we loose $2. So we plug in our formula: ((24/37)*1)+((13/37)*-2)=-.05405405. This is even worse than playing even money odds.
Now we come full circle. Almost all systems are based on the premise that the likelihood of an event happening repeatedly gets exponentially smaller the more times in a row one seeks that option. Probability will never rule out a roulette table showing the number 36 100 times in a row, but it will tell us exactly how unlikely it is. The premise is that the probability of an event happening once is multiplied by the likelihood of the second event multiplied by the third event and so on. For instance, for a single number to come up 100 times we multiply (1/37)*(1/37)*(1/37)… for one hundred times. This is a tiny number but we can see how fast it adds up:
(1/37)=.02702703
Casino Tricks Roulette System Strategy
(1/37)*(1/37)=.00073046
(1/37)*(1/37)*(1/37)=.00001974
(1/37)*(1/37)*(1/37)*(1/37)=.00000053
The likelihood of a number coming up four times in a row is only 0.000053%, but it happens. Just go to Global Player Casino and check out the roulette results for the year. But I digress, the strategies say if you chase a loss long enough it won’t lose any more, and systems like the Martingale set it up so that you realize a profit when that condition fails. However, it’s still a losing system because we can plug in our formula to this just as easily as we can plug it into a single event.
But first let’s examine what it is we’re looking at. If we’re analyzing a system there are only two options we’re interested in: win or loss. Let’s not get too complicated and assume that one loss will exit the system and return the player to the starting state such as the Martingale.
If the first spin loses then we go to a second spin, and if the second spin loses then we go to the third and so on. So we know that for however many levels we examine all the preceding spins will be losses. In other words, if 51.4% of spins will lose, then we are looking at 51.4% of 51.4% will lose twice in a row and 48.6% of 51.4% will win on the second round. Therefore, 51.4% of 51.4% of 51.4% will lose thrice, and 48.6% of 51.4% of 51.4% will win.
For a single level we know that the formula is the probability of a win times the net result and the probability of a loss times the net result.
(((18/37)*1)+((19/37)*-1))= -.02702703
To check the second level, the probability of a loss followed by the probability of a win times the net result is compared to two losses and the net result.
(((19/37)*(18/37))*1)+(((19/37)^2)*-2)= -.27757487
To extrapolate the third, fourth, and fifth level:
((((19/37)^2)*(18/37))*1)+(((19/37)^3)*-4)= -.4133615
((((19/37)^3)*(18/37))*1)+(((19/37)^4)*-8)= -.49040931
We can see no matter how far we go on the Martingale system it’s always more likely a losing proposition than a winning proposition, and the deeper one goes the more likely one is to lose a greater sum of money. Of course this isn’t a surprise since the odds are already against us.
More on other systems and hedge betting later.
Roulette Math Tricks 5th
Any system can be analyzed like this for any game. If the result is positive, the odds are in the player’s favor. If the result is negative you’re trusting Lady Luck. I haven’t found a formula that results in a positive number. Of course, if I had I'd be in a casino right now.
Roulette Tricks And Tips
This is a well presented maths explanation of the odds against the player when betting at roulette.But it confuses probability with certainty.Probability Theory deals with uncertainty not certainty.Roulette, like all gambling, is a game of chance so , obviously, chance is involved. This does not mean that only chance is involved.If the roulette wheel is random then no one can predict with certainty that we will win or lose. That certainty belongs to astrology not maths. There is no reason why the wheel should not give the same number continuously for a hundred, a thousand or even a million spins if it is truly random; incidentally, unless we are going to live till eternity then 'The Long Run' is irrelevant in real time betting.The writer errs when dealing with betting the First and Second dozens together. Using the 1-18 bet we can lower the odds against us. Placing three chips on 1-18 and one chip on the six-line 19-24 benefits us should zero occur whereas betting the two dozens does not.To my mind, there is an all too casual attitude to discussing roulette and this is exemplified in this article.Also- but not here -there is usually a knee-jerk reaction to anyone who rejects the notion that you are certain to lose. Claims of certainty -to win or lose -are unjustifiable where uncertainty clearly reigns.Gambling is Gambling is Gambling .