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Random Dice
Yes. Computer-based random number generators (RNGs) are pseudo-random. Well-designed RNGs use complex algorithms to produce sequences of numbers that are indistinguishable from truly random sequences, for the purposes for which they are designed. This means that it is impossible for a human being to tell the difference between a sequence produced by the RNG and a sequence of truly random numbers, and that the RNG sequence can be shown to be unbiased statistically. The GamesGrid RNG is much more sophisticated than it needs to be for the purpose of producing random dice rolls for multiple simultaneous games.
The probability of rolling five 21s sequentially is 1/1889568. Since there are more than a million dice rolls on GamesGrid every day, you would expect this sequence to occur about once every two days. Since there are fifteen outcomes that are the same five non-doublet numbers in sequence (five 21s, five 31s, five 32s, etc.), you would expect some sequence of five of the same non-doublet to occur about once every three hours.
Humans notice (and remember) simple sequences, especially when they are unfavorable. The probability of rolling the exact sequence 31, 41, 54, 65, 62 is also 1/1889568; the probability of rolling any non-doublet sequence is exactly the same. But no one thinks the sequence 31, 41, 54, 65, 62 is the least remarkable (at least no one has ever remarked on it).
The probability of rolling six doublets in a row is 1/46656. Since there are nearly a million dice rolls on GamesGrid every day, you would expect such a sequence to occur about twenty times a day. The probability of rolling the same doublet six times in a row is 1/362797056, so you would expect such a sequence to occur about once a year.
No. The reason has to do with how the dice rolls are generated.
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last modified: 2002-10-04
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