So, fun fact: Between 0 and 1, you have about a quarter of all floating point numbers (and then a quarter > 1, a quarter < -1, and a quarter between -1 and 0).

So, fun fact: Between 0 and 1, you have about a quarter of all floating point numbers (and then a quarter > 1, a quarter < -1, and a quarter between -1 and 0). Between 1 and 2, you have about 0.024% of all floating point numbers (for double precision, a factor of around 1023).