Probability Calculations for Roulette Dozens, Columns to Miss Multiple Spins in a Row

The roulette guru calculates the probabilities for columns or dozens to miss a number of N consecutive roulette spins. The roulette master simply runs his probability software known as Formula and Super Formula. Get your own legal copies of the software to calculate the probability, degree of certainty, number of trials, median and so much more.

Authored on October 31, 2000.

In Reply to: Chances for Roulette Dozens, Columns to Miss 8, 9, 10, 11, 12 Consecutive Spins posted by Roulette Player on October 30, 2000.

: Ion, I've noticed that you are quite proficient in figuring odds on roulette. Could you please tell me the chances on a single and double zero roulette wheel of 1 column or dozen not showing for 8,9,10,11,12, and 13 times? If possible could you give the answer in 1 in a thousand or 1 in 87 or whatever it works out to be? Thank you for your help.

o Axiomatic one, I understand your question this way.
What is the probability of one dozen or one column to SKIP N consecutive spins?
In such a case, we work with the complementary event of one dozen/column. The probability for one dozen or one column to appear is 12/38 = 0.3158 (31.58%). The probability of the complementary event is p=(38-12)/38 = 26/38 = 0.6842 (68.42%).

We can use now this last number and raise it to various powers. Or, we can use SuperFormula, the binomial distribution formula (BDF) to automate the process.

Here are the results for one dozen/column to miss N consecutive roulette spins.

5 times in a row: p = 15% (it happens 15 times in 100 spins; 1 in 6.667 spins);
6 times in a row: p = 10.3% (1 in 9.7 spins);
7 times in a row: p = 7% (1 in 14.3 spins);
8 times in a row: p = 4.8% (1 in 20.8 spins);
9 times in a row: p = 3.3% (1 in 30.3 spins);
10 times in a row: p = 2.2% (1 in 45.5 spins);
11 times in a row: p = 1.5% (1 in 66.7 spins);
12 times in a row: p = 1.1% (1 in 90.9 spins);
13 times in a row: p = 0.7% (it happens 7 times in 1000 spins; 1 in 142.9 spins).

Good luck, Player(s)!

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Comments:
: : Probability, Odds of Roulette Dozens, Columns to Miss Skips, Sleep. The roulette professor uses his software to calculate odds, probabilities for columns or dozens to miss a number of N consecutive roulette spins. Main tags: roulette, mathematics, math, probability, odds, spins, column, dozen, sleepers, streaks, consecutive spins. I've noticed that you are quite proficient in figuring odds on roulette. Could you please tell me the chances on a single and double zero roulette wheel of 1 column or dozen not showing for 8,9,10,11,12, and 13 times? If possible could you give the answer in 1 in a thousand or 1 in 87 or whatever it works out to be? What is the probability of one roulette dozen or one roulette column to SKIP N consecutive spins? In such a case, we work with thecomplementary event of one dozen/column. The roulette probability for one dozen/column to is 12/38 = 0.3158 (31.58%). The probability of the complementary event is p=(38-12)/38 = 26/38 = 0.6842 (68.42%). : Here are the results for one dozen or column to miss N consecutive roulette spins. 13 times in a row: p = 0.7% (it happens 7 times in 1000 roulette spins; 1 in 142.9 spins). Title: "Results of roulette dozens, columns to miss 12 spins in a row". The roulette guru calculates the probabilities for columns or dozens to miss a number of N roulette spins. The roulette master simply runs his probability software known as Super Formula.