Roulette – An Analysis

Roulette – An Analysis Roulette is played by spinning a ball around a wheel.  The wheel contains 37 to 38 numbered pockets from 0 to 36 for a 37-numbered wheel and 00 and 0 to 36 for a 38-numbered wheel. The winning number is decided by which numbered pocket the ball comes to rest on.  Payment is then made based on where a player has wagered on a layout displaying all the numbers on the wheel. This table assesses the wagers for Single-Zero (European) Roulette: European Roulette (Single Zero) Wager Numbers covered Probability (Win) Probability (Loss) Expectation Break-even odds Straight Up 1 0.02703 0.97297 -0.94595 36.00 Split 2 0.05405 0.94595 -0.89189 17.50 Street 3 0.08108 0.91892 -0.83784 11.33 Corner 4 0.10811 0.89189 -0.78378 8.25 6-Line 6 0.16216 0.83784 -0.67568 5.17 Dozen 12 0.32432 0.67568 -0.35135 2.08 Column 12 0.32432 0.67568 -0.35135 2.08 Small (1-18) 18 0.48649 0.51351 -0.02703 1.06 Big (19-36) 18 0.48649 0.51351 -0.02703 1.06 Red 18 0.48649 0.51351

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Sic-Bo and Dice – An Analysis

Sic-Bo is really popular in Asia.  This game involves 3 dice in a tumbler or variant which is tumbled, with varying payments for specific combinations of the dice. There is an amazing way to calculate how many possible outcomes for a particular score from 3 six-sided dice there can be.  This involves the use of polynomial multiplication. Here’s a simple way to look at this… You have 3 dice with numbers from 1 to 6 on each of them. Die 1 1 2 3 4 5 6 Die 2 1 2 3 4 5 6 Die 3 1 2 3 4 5 6 Now, add each number from Die 1 to the first number of Die 2 and then the second and so on like this. Die 1 Die 2 1 2 3 4 5 6 1 2 3 4 5 6 7 2 3 4 5 6 7 8 3 4 5 6 7 8 9 4 5 6

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