Selecting random digits from 0 to 9 inclusive, the probability of getting a 1-2-3 combination (in that order) is: 1/10 x 1/10 x 1/10 = 1/1000
Selecting random digits from 0 to 9 inclusive, the probability of getting a 2-2-1 combination (in that order) is: 1/10 x 1/10 x 1/10 = 1/1000
Your statement that "so for example in the roulete is much more likely to appear the combination 2nd,2nd,1st column than 1st,2nd,3rd column", is incorrect for 2 reasons:
1. Firsly, it is not correct to say that a probability of 1/995 is 'much more likely' than a probability of 1/1000. Statistically speaking these probability values are virtually identical.
2. Your result of a probability of 1/995 for a number string of 2-2-1 being different from 1/1000 for number string 1-2-3 simply represents the natural randomness of your basic computer random function, and not a true statistical difference in probability. Simple probabilty theory (above) shows that the probabilty of getting a 1-2-3 is the same as the probability of getting a 2-2-1.
Run your program again & again. You will get probabilty values for 2-2-1 combination very close to (but not not always exactly) 1/1000.
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Last edited by salmo; 04-30-2012 at 12:26 PM.
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