Random numbers,general distributions 1.Direct Method: 1)let-oo<a<b<oo R[0,1]:=(b-a)z+a R[a,b] Proof:transformation of random variables,see:Mathematical theory of probability. 2)Discrete uniform distribution ("Laplace distribution")on {j,j+ 1,j+n-1},j∈N R[0,1]X:=[nz]+j is Laplace distributed on {j,j+1,…j+n-1} i.e.P(X=i)=1/n for all i from fj,j+1,....j+n-1 especially:j=0,n=2:coin;j=1,n=6:dice;j=0,n=37:Roulette1. Direct Method：