Random number generation. Experimental and algorithmic methods. Generation of uniformly distributed pseudorandom numbers on computers. Multiplicative, congruential and other algoriths. Statistical tests of random number series. Randomness, indeoendency. Chi-square test. One- and two-dimensional frequency tests, digit test, gap test, poker test, run test, test of subseries. Sampling discrete random variables by Monte Carlo method. Techniques for acceleration of sampling. Sampling continuous random variables. Methods for sampling one-dimensional density functions. Inverse cumulative function method, acceptance-rejection algorithm, composition method, table look-up techniques. Application of Monte Carlo methods for particle transport simulation. Methods for choosing uniformly a random point from the surface of a sphere. Sphere slicing, in-cube out-of-sphere rejection and Marsaglia’s algorithm. Free flight sampling in homogeneous, regionally homogeneous and inhomogeneous media. Woodcock’s method. Analog and non-analog simulation of particle transport. Variance reduction techniques. Statistical weight, implicit capture, spatial importance, biasing, splitting, Russian roulette. Monte Carlo integration. Interpolation of multivariate functions using Monte Carlo method.