1. Best Bet On Roulette Wheel
2. Roulette Bet Names
3. Best Way To Bet Roulette
4. Do You Play Roulette Always Bet On Black
5. Always Bet On Black Roulette

Roulette offers a bewildering number of betting options, but the bets are actually straightforward enough. In order to make sure you get the correct payout, you’ll want to make sure that you put your chips in exactly the right place on the table. Missing a payout because your chip isn’t in the right spot is a drag.

The most popular bets on the roulette table are Red and Black, this is especially the case in online casinos. Our list of roulette strategies is quite long so what we’re going to do here is list all of the different systems that are aimed towards Red and Black betting. It’s important to remember that Red and Black have exactly the same odds as Odd/Even and 1-18/19-36 so all of these.

Roulette payouts work like this. The odds are stated in the form of x to 1, which means you’ll win x dollars for every dollar you’ve bet. For example, the single number bet offers a payout of 35 to 1. If you win, you’ll get your dollar back plus the $35 for the win.

Payouts on the Outside Bets

On the edge of the table are a series of bets which are “outside” the 38 numbers on the table. Each of these bets refers to a specific set of numbers or colors. If the ball lands on 0 or 00, you’ll lose on any of the outside bets.

The outside bets include:

Red or Black – This bet pays out even odds (1 to 1) if the ball lands on the color you chose.

Odd or Even – This bet pays out even odds (1 to 1) if the ball lands on odd or even, depending on which you chose.

Low or High – This bet pays out even money (1 to 1) if the ball lands on 1-18 if you bet low, or if the ball lands on 19-36 if you bet high.

Columns – The numbers on the layout are organized into three columns of twelve numbers each. A “columns” bet wins if the ball lands on one of the numbers in the column you chose. This bet pays out 2 to 1 when you win.

Dozens – There are 36 numbers on the table, so you can bet on the first dozen (1-12), the second dozen (13-24), or the third dozen (25-36). This bet also pays out 2 to 1.

Payouts on the Inside Bets

You can also bet on specific numbers and sets of numbers on the inside of the layout. These bets win less often, but they pay out more when you do win. The house edge on the inside bets is the same as the house edge on the outside bets.

The inside bets include:

Straight-up – This is a bet on a single number. It pays off at 35 to 1.

Split bet – This is a bet on any two adjacent numbers. You place the chip on the line between the two numbers in order to make this wager. This bet pays out at 17 to 1.

Street bet – This bet covers three numbers. You place your bet on the line outside of the three numbers in the row where you want to win. This bet pays out at 11 to 1.

Corner bet – Some people call this a square bet or a quarter bet. It’s a bet on a corner that makes a square, and it’s a bet on four numbers. A win on this type of bet pays out at 8 to 1.

Five-number bet – You can only make one five-number bet, and it’s the only inside bet that offers different odds from all the others. The problem is that it has a higher house edge, making it the worst bet on the table. This bet is on the numbers 0, 00, 1, 2, and 3, and you place the chip on the outside corner line between the 1 and the 0. This bet pays out 6 to 1, but only masochists place this bet.

Six-number bet – Some people call this a line bet. It covers two adjoining rows of numbers. It pays out at 5 to 1.

How Roulette Payouts Give the Casino an Edge

These payouts all have one thing in common—they pay out less than the true odds of hitting a win. That’s why the casino enjoys a house edge of 5.26% on roulette. Your odds of winning are always less than the payout amounts.

For example, the odds of winning a straight-up bet are 37 to 1. There are 37 numbers on the wheel that lose, and 1 bet on the wheel that will win. But the bet only pays out 35 to 1, not 37 to 1, so the house wins more often than it loses.

A split bet offers you odds of winning of 18 to 1, but it pays off at 17 to 1.

I could list all of them, but you get the idea by now. The casino has an unassailable mathematical advantage on every bet. No betting system or strategy can overcome this advantage.

Best Bet On Roulette Wheel

Of course, in the short run, anything can (and often will) happen. This is called “standard deviation”, and it explains why some people walk away from the roulette table as winners. The mathematically true results only come around the closer you get to an infinite number of spins.

So the best way to approach roulette is as a lark. It’s a fun game. You can relax and socialize while you play. But don’t expect to win, because the odds are against you. And if you do win, walk away and smile, because you beat the odds.

A martingale is any of a class of betting strategies that originated from and were popular in 18th century France. The simplest of these strategies was designed for a game in which the gambler wins the stake if a coin comes up heads and loses it if the coin comes up tails. The strategy had the gambler double the bet after every loss, so that the first win would recover all previous losses plus win a profit equal to the original stake. The martingale strategy has been applied to roulette as well, as the probability of hitting either red or black is close to 50%.

Since a gambler with infinite wealth will, almost surely, eventually flip heads, the martingale betting strategy was seen as a sure thing by those who advocated it. None of the gamblers possessed infinite wealth, and the exponential growth of the bets would eventually bankrupt 'unlucky' gamblers who chose to use the martingale. The gambler usually wins a small net reward, thus appearing to have a sound strategy. However, the gambler's expected value does indeed remain zero (or less than zero) because the small probability that the gambler will suffer a catastrophic loss exactly balances with the expected gain. (In a casino, the expected value is negative, due to the house's edge.) The likelihood of catastrophic loss may not even be very small. The bet size rises exponentially. This, combined with the fact that strings of consecutive losses actually occur more often than common intuition suggests, can bankrupt a gambler quickly.

Intuitive analysis[edit]

The fundamental reason why all martingale-type betting systems fail is that no amount of information about the results of past bets can be used to predict the results of a future bet with accuracy better than chance. In mathematical terminology, this corresponds to the assumption that the win-loss outcomes of each bet are independent and identically distributed random variables, an assumption which is valid in many realistic situations. It follows from this assumption that the expected value of a series of bets is equal to the sum, over all bets that could potentially occur in the series, of the expected value of a potential bet times the probability that the player will make that bet. In most casino games, the expected value of any individual bet is negative, so the sum of lots of negative numbers is also always going to be negative.

The martingale strategy fails even with unbounded stopping time, as long as there is a limit on earnings or on the bets (which is also true in practice).^[1] It is only with unbounded wealth, bets and time that it could be argued that the martingale becomes a winning strategy.

Mathematical analysis[edit]

The impossibility of winning over the long run, given a limit of the size of bets or a limit in the size of one's bankroll or line of credit, is proven by the optional stopping theorem.^[1]

Mathematical analysis of a single round[edit]

Let one round be defined as a sequence of consecutive losses followed by either a win, or bankruptcy of the gambler. After a win, the gambler 'resets' and is considered to have started a new round. A continuous sequence of martingale bets can thus be partitioned into a sequence of independent rounds. Following is an analysis of the expected value of one round.

Let q be the probability of losing (e.g. for American double-zero roulette, it is 20/38 for a bet on black or red). Let B be the amount of the initial bet. Let n be the finite number of bets the gambler can afford to lose.

The probability that the gambler will lose all n bets is qⁿ. When all bets lose, the total loss is

${\displaystyle \sum _{i=1}^{n}B\cdot 2^{i-1}=B(2^n-1)}$

The probability the gambler does not lose all n bets is 1 − qⁿ. In all other cases, the gambler wins the initial bet (B.) Thus, the expected profit per round is

${\displaystyle (1-q^n)\cdot B-q^n\cdot B(2^n-1)=B(1-(2q{)}^n)}$

Whenever q > 1/2, the expression 1 − (2q)ⁿ < 0 for all n > 0. Thus, for all games where a gambler is more likely to lose than to win any given bet, that gambler is expected to lose money, on average, each round. Increasing the size of wager for each round per the martingale system only serves to increase the average loss.

Suppose a gambler has a 63 unit gambling bankroll. The gambler might bet 1 unit on the first spin. On each loss, the bet is doubled. Thus, taking k as the number of preceding consecutive losses, the player will always bet 2^k units.

With a win on any given spin, the gambler will net 1 unit over the total amount wagered to that point. Once this win is achieved, the gambler restarts the system with a 1 unit bet.

With losses on all of the first six spins, the gambler loses a total of 63 units. This exhausts the bankroll and the martingale cannot be continued.

In this example, the probability of losing the entire bankroll and being unable to continue the martingale is equal to the probability of 6 consecutive losses: (10/19)⁶ = 2.1256%. The probability of winning is equal to 1 minus the probability of losing 6 times: 1 − (10/19)⁶ = 97.8744%.

The expected amount won is (1 × 0.978744) = 0.978744.
The expected amount lost is (63 × 0.021256)= 1.339118.
Thus, the total expected value for each application of the betting system is (0.978744 − 1.339118) = −0.360374 .

In a unique circumstance, this strategy can make sense. Suppose the gambler possesses exactly 63 units but desperately needs a total of 64. Assuming q > 1/2 (it is a real casino) and he may only place bets at even odds, his best strategy is bold play: at each spin, he should bet the smallest amount such that if he wins he reaches his target immediately, and if he doesn't have enough for this, he should simply bet everything. Eventually he either goes bust or reaches his target. This strategy gives him a probability of 97.8744% of achieving the goal of winning one unit vs. a 2.1256% chance of losing all 63 units, and that is the best probability possible in this circumstance.^[2] However, bold play is not always the optimal strategy for having the biggest possible chance to increase an initial capital to some desired higher amount. If the gambler can bet arbitrarily small amounts at arbitrarily long odds (but still with the same expected loss of 1/19 of the stake at each bet), and can only place one bet at each spin, then there are strategies with above 98% chance of attaining his goal, and these use very timid play unless the gambler is close to losing all his capital, in which case he does switch to extremely bold play.^[3]

Alternative mathematical analysis[edit]

The previous analysis calculates expected value, but we can ask another question: what is the chance that one can play a casino game using the martingale strategy, and avoid the losing streak long enough to double one's bankroll.

As before, this depends on the likelihood of losing 6 roulette spins in a row assuming we are betting red/black or even/odd. Many gamblers believe that the chances of losing 6 in a row are remote, and that with a patient adherence to the strategy they will slowly increase their bankroll.

In reality, the odds of a streak of 6 losses in a row are much higher than many people intuitively believe. Psychological studies have shown that since people know that the odds of losing 6 times in a row out of 6 plays are low, they incorrectly assume that in a longer string of plays the odds are also very low. When people are asked to invent data representing 200 coin tosses, they often do not add streaks of more than 5 because they believe that these streaks are very unlikely.^[4] This intuitive belief is sometimes referred to as the representativeness heuristic.

Anti-martingale[edit]

This is also known as the reverse martingale. In a classic martingale betting style, gamblers increase bets after each loss in hopes that an eventual win will recover all previous losses. The anti-martingale approach instead increases bets after wins, while reducing them after a loss. The perception is that the gambler will benefit from a winning streak or a 'hot hand', while reducing losses while 'cold' or otherwise having a losing streak. As the single bets are independent from each other (and from the gambler's expectations), the concept of winning 'streaks' is merely an example of gambler's fallacy, and the anti-martingale strategy fails to make any money. If on the other hand, real-life stock returns are serially correlated (for instance due to economic cycles and delayed reaction to news of larger market participants), 'streaks' of wins or losses do happen more often and are longer than those under a purely random process, the anti-martingale strategy could theoretically apply and can be used in trading systems (as trend-following or 'doubling up'). (But see also dollar cost averaging.)

Roulette Bet Names

See also[edit]

Best Way To Bet Roulette

References[edit]

Do You Play Roulette Always Bet On Black

1. ^ ^abMichael Mitzenmacher; Eli Upfal (2005), Probability and computing: randomized algorithms and probabilistic analysis, Cambridge University Press, p. 298, ISBN978-0-521-83540-4, archived from the original on October 13, 2015
2. ^Lester E. Dubins; Leonard J. Savage (1965), How to gamble if you must: inequalities for stochastic processes, McGraw Hill
3. ^Larry Shepp (2006), Bold play and the optimal policy for Vardi's casino, pp 150–156 in: Random Walk, Sequential Analysis and Related Topics, World Scientific
4. ^Martin, Frank A. (February 2009). 'What were the Odds of Having Such a Terrible Streak at the Casino?'(PDF). WizardOfOdds.com. Retrieved 31 March 2012.

Always Bet On Black Roulette