Apply an analogy of throwing dice. Throw one die, and the numbers from 1 to 6 are random. Throw two, and the number on each die is still random, but the most common sum is 7. Throw 4, and 14 is the most common sum, Throw a billion dice, and your sum will be very, very close to 350,000,000- but the fluctuations between 349,999,997 and 350,000,003 will be completely random because you can't get any less randomness than the randomness of a single die.