Can I generate random variables with my own pmf?

I have to generate a random variable that ranges from 20 to 30, with 0.1 interval, and the pmf of it is given by 1x101 matrix(for x=20, 20.1, ... 29.9, 30).

Now I have to make random variable with this given pmf,

But all I know about generating R.V is something related to gaussian, or uniformly distributed function.

So is there any way to implement generating random variables with arbitrary pmf?