4 points
*
Doesn’t it depends on whether we are talking about real or integer numbers?
EDIT: I think it also works with p-adic numbers.
2 points
No. In the set of real numbers it is still very possible to randomly select a number that can be written with finite digits.
0 points
2 points
OP is wrong. A truly random real number does have a much higher probability of being an irrational number or repeating rational number, but it is certainly not the case that a truly random number “will be” one of these two as terminating rational numbers are still possible to select.
