Is it true that if you randomly selected a natural number, the odds of it being higher than grahams number is almost 100%?There are an infinite number of numbers. The numbers smaller than grahams number compose an almost infinitesimal fraction of all of them. Is this correct?
>>17059502>almost
>>17059502yes in fact it's the number most almost 100% possible
>>17059504>almostExactly 100%
>>17059502I did a monte carlo simulation, out of a million randomly generated numbers only about 3.4% of them were bigger than Graham's
>>17059502>you randomly selected a natural numberYou can't randomly select a natural number. There are events which have probability 0 but can still happen, and the probability of selecting a natural number assuming they are uniformly distributed goes to 0 as your sample set of naturals gets infinitely large.If you select a number larger than grahams number it quite literally either happens or it doesn't.
>>17060656Roll an infinite-sided die (e.g. a sphere)
>>17060651>I did a monte carlo simulationno you didn't
