A common random function is designed like a dice, if you call it many times it will yield approximately the same number of times 1, 2, 3, 4, 5 and 6. Statistically, you could say it's equally spread or dispersed.
Are there function or formulas that use a random function, and can output an predictable, unequally statistically spread value ?
Imagine I want a function that if I call it, results tend to have 3 times 6s as usual, 2 times 2s as usual, half as many 4s as usual, etc ?
I don't want exactly those weights, but I wonder how is it possible to generate random values that tend to yield more values than others.
Not sure if this is what you are after but you could throw the die twice or more and "reinterpret" the results. For example, if you throw $(1,2)$ call it $1$, if you throw $(2,1)$ call it $3$ etc. If you interpret the $36$ possibilities as $$1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6$$ then the probability of $6$ will be $\frac{18}{36}=\frac{1}{2}$, three times as much as usual, the probability of $2$ will be $\frac{12}{36}=\frac{1}{3}$, twice as much as usual and the probability of $4$ will be $\frac{3}{36}=\frac{1}{12}$, half the usual.