Roulette Probability Formula
- Roulette Probability Calculator
- Roulette Probability Formula Solver
- Roulette Probability Formula Definition
I have noticed on the internet there are people selling ‘systems’ or ‘strategies’ which they claim can be used to overcome the odds and win at roulette. Unfortunately, it is mathematically impossible for any of these systems to work. Many people still don’t understand the basic probability of roulette, and the fact that each new spin of the wheel has independent odds.
A casino has an edge over anyone who plays roulette (generally 5.26% on an American style table). Because of this, the odds of coming out in front in the long-run are very very small, and close enough to impossible. If a player bets $1 on red or black on an American table (with 0 and 00) there is a probability of 18/38 (47.3%) of winning $1. The house advantage lies in the fact that 2 of the 38 squares (0 and 00) are not red or black. To many people, the odds seem close enough to 50/50, but even with this small edge, the casino will make a good profit over time.
The more bets you make the more the house edge works against you. If you bet on every number (all 38) at once, you can see that the payoff for being right (35 to 1) is not enough to compensate the cost of placing all the bets.
Roulette Probability Calculator
For example, suppose you want to calculate the probability of rolling an 11. You can make the target outcome in one of two ways: roll a 5-6 or roll a 6-5. So, plug 2 for target outcomes and 36 for total outcomes into the formula for probability: Therefore, the probability of rolling an 11 with two dice is 1/18. Roulette Calculator Calculate the roulette probability of (13-24) along with the expected return on your $10.00 bet Success Percentage of (13-24) = Probability of (13-24) x 100% Success Percentage of (13-24) = 31.58%.
- I have calculated the following cumulative probability of gaining a hit on an EC in 4 coup attempts. 1:1 = 48% 1:2 = 73% 1:3 = 86% 1:4 = 93% We will ignore 4 misses in a row (and any replies that do not demonstrate an understanding of cumulative probability) and therefore we will always gain a hit in one of the 4 above slots.
- Formula that would beat any roulette wheel, whether it was unbalanced or not! The Power Behind Jagger’s Secret Formula Jagger observed that every roulette wheel generates a natural bias even in very short runs of play. Roulette wheels always have unequal distributions of outcomes in any series of spins.
- Payouts for every roulette bet are calculated according to the same formula, which means that every single European roulette bet has the same RTP of 97.3% (the player statistically wins $0.973 for each $1 wagered).
Gambling games and trading systems are similar in that a system with a negative expected return can not be traded profitably regardless of the strategy used. ie, it doesn’t matter how much you bet each time or how you change your bet size on each turn, the house advantage will remain. Albert Einstein apparently said: “You cannot beat a roulette table unless you steal money from it.”
I have made a spreadsheet which allows you to play roulette with real odds, and you can also test the outcome of any bet or combination of bets. For example, here is a screen shot of the outcome of starting with $1,000 and betting $50 on black, $50 on column 2 and $20 on number 3 simultaneously. This bet is repeated 1,000 times. On this run it actually did pretty well initially, increasing to around $5,000 after a few hundred games, but eventually, the house edge worked against it and it finished with a loss of $4,690. Of course, if you repeated this process you would get a different outcome, but you would still expect to lose after many repetitions of the bet. Very occasionally you would end up with a profit after running the 1,000 bets, however, if you repeat this exercise many times you will see how rare that is.
Roulette Probability Formula Solver
My best result so far was turning $1,000 into $90,000 (fictional) dollars before seeing that amount quickly plummet back to $0.
Roulette Probability Formula Definition
Please try out my spreadsheet (you will need to enable macros in Excel) and leave a comment with any questions, ideas or high scores!