Monte Carlo Roulette

An American Roulette wheel has 38 slots: 18 are red, 18 are black, and 2 aregreen, which the house always wins. When a person bets on either red or black,the odds of winning are 18/38, or 47.37% of the time.

Our next is example is a simulation of spinning the Roulette wheel. We have amain simulation loop that is similar to the coin-flipping example. The codefor determining a win on each spin is more involved than flipping a coin, andthe sequential version,rouletteSimulation_seq.cppis decomposed into several methods. Look at this original code file to see howwe run the simulations using increasing numbers of random spins of the wheel.

The function that actually runs a single simulation of the Roulette wheel, called spinRed(), is quitesimple. It generates a random number to represent the slot that the ballends up in and gives a payout according to the rules of Roulette.

Monte Carlo Roulette Python

The “gambler’s fallacy,” and the “Monte Carlo fallacy,” and even “the fallacy of the maturity of chances.” It all boils down to one basic, misguided belief: In games of chance, like roulette or craps, if a certain outcome hasn’t happened in awhile, it’s more likely to occur in the future. This is probably the best production Roulette wheel that is available for home or club buyers. At 50cm (20 inches) diameter Dal Negro call it the 'Monte Carlo Wheel'. The wheel is made from solid Sapelli Mahogany and is a gorgeous piece of work. Naturally, the wheel is. There is a famous session where a roulette ball on a specific wheel landed on black 26 times in a row in a Monte Carlo Casino in the summer of 1913- August 18 to be precise. This even spawned the name “Monte Carlo Fallacy”. Players at the table lost millions of francs betting against the black. But generally, all the noise is on red, right? Monte Carlo roulette bet is a crossword puzzle clue. Clue: Monte Carlo roulette bet. Monte Carlo roulette bet is a crossword puzzle clue that we have spotted 2 times. There are related clues (shown below).

Note

The sequential version of the simulation takes a fair amount of time. Note how long.Also note how many simulated random spins it takes before the distribution of spinsaccurately reflects the house odds.

Parallelism to the Rescue¶

We add OpenMP parallelism as in the coinFlip example, by running the loop of random spinsfor each trial on several threads. This code is in this file that you can download:rouletteSimulation_omp.cppThe actual simulation function is getNumWins():

Notes about this code: numSpins and myBet are sharedbetween threads while spin is the loop index and unique to each thread.When using rand_r() as the thread-safe random number generator in linux/unix,the seed should be private to each thread also.Like the previous example, we combine the partial results from eachthread with reduction(+:wins).

The first famous roulette player was a man named Joseph Jagger, also referred to as “the man who broke the bank at Monte Carlo”. Joseph Jagger was born in Yorkshire, England in 1830 and work as an engineer in a cotton factory.

Through his knowledge of mechanics and love for the game of roulette, Jagger believed that not all roulette wheels were completely random, as the slight imperfections would result in some numbers coming up more than others.

Testing His Roulette Theory

To test his theory, Jagger headed to Monte Carlo, where he acquired the help of 6 people to watch the 6 roulette wheels at the Beaux-Arts casino, with one person watching one wheel each. The helpers took note of the results from the wheels, which allowed Jagger to find that one particular wheel was biased to particular set of 9 numbers, which were 7, 8, 9, 17, 18, 19, 22, 28 and 29.

With his new knowledge of the frequency of certain numbers occurring at one particular wheel, Jagger headed to the Casino with the intention of exploiting the wheel's tendencies. Sure enough, the same numbers kept appearing on the wheel, and over the next 3 days Jagger accumulated over £60,000 ($120,000) in winnings, which in today's money is equal to around £3,000,000 ($6,000,000).

After the third day the Casino was becoming highly suspicious about the large losses that they had been suffering, and so in an attempt to offset this loss, they switched the positions of the roulette wheels in the Casino.

On the fourth day, Jagger was unaware that the wheels had been switched, and so began to lose money to the casino. However, after a short while Jagger noticed that a scratch on the biased wheel was not present on the wheel he was currently playing at, and so searched around the Casino to find the biased wheel once again. Sure enough, Jagger found the correct wheel and continued to win money for another 2 days.

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You Cannot Beat The Roulette System Forever

Once again, the Beaux-Arts Casino was not best pleased with their losses, and so they went to further lengths to prevent Jagger from taking more money from them. This time, instead of switching the roulette tables around, the Casino would rotate the metal dividers between the numbers each night, so that the roulette wheel would be biased to a different set of numbers.

This time, Joseph Jagger was unable to overcome the constant changes of bias in the roulette wheel, and so lost some of his total winning for 2 days.

After the second day, Jagger kept a clear head and decided that enough was enough, and left Monte Carlo to head home with his winnings.

Joseph Jagger

When he got home, he retired from the Mill and invested some of his winnings into property. Joseph Jagger died in 1892 at the age of 72, and is buried at Bethel Church in Shelf.

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For those of you that might be wondering; Joseph Jagger is said to be a distant cousin of Mick Jagger, the lead singer of the Rolling Stones.