Three positive integers are chosen at random without replacement from 1,2,....,64.
What is the probability that the numbers chosen are in geometric sequence?
Order of choice doesn't matter. For example, 4-1-2 would qualify as
numbers in geometric sequence.
Bonus Question:
Generalise this result (in terms of n) covering the situation where three positive integers are chosen at random without replacement from 1,2,.....,n^{2}.