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Generation methods

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  Generation methods [ edit ] Physical methods [ edit ] Main article:  Hardware random number generator The earliest methods for generating random numbers, such as dice, coin flipping and roulette wheels, are still used today, mainly in games and gambling as they tend to be too slow for most applications in statistics and cryptography. A physical random number generator can be based on an essentially random atomic or subatomic physical phenomenon whose unpredictability can be traced to the laws of  quantum mechanics . Sources of  entropy  include  radioactive decay ,  thermal noise ,  shot noise , avalanche noise in  Zener diodes ,  clock drift , the timing of actual movements of a  hard disk  read-write head, and  radio noise . However, physical phenomena and tools used to measure them generally feature asymmetries and  systematic biases  that make their outcomes not uniformly random. A  randomness extracto...