Biased Random Number Generator

Question

I am looking for a random number generator that can be biased. For instance, say I want a random number between 1-5, with the probability being:

1: Comes up 20% of t

Answer 1

Why don't you just use a regular random number generator that return number between 0.0 and 1.0, and wrap it with another function that returns a number according to your requirements?

like

double biased (double seed) {
if (seed >= 0.0 && seed <0.2) return 1;
else if  ...
}