Applied Physics and Mathematics Annotation << Back Probabilistic properties of some sequences on a finite interval of the natural numbers V.L. Vol'fson The author obtained a formula for determining the deviation of the density of the sequence (a natural number is divisible by different primes on a finite interval) from the asymptotic density of the sequence. The work gives an estimate of the deviation and shows that it is inversely proportional to length of a finite interval. The article show that in the big finite interval of the natural numbers with high precision is executed the independence of the events that a natural number is divisible by different primes. The author has found the maximum absolute error in the determination of the probability of events (the natural numbers in a finite interval are not divisible by different primes) and the estimation of the relative error of these events. The article shows that the independence of the events (a natural number is divisible by different primes on a finite interval) generally not satisfied. The author found the formula for determining the asymptotic density and the number of primes after a certain number of steps of the sieve of Eratosthenes. The paper contains a generalization of the probability space on a finite interval of the natural numbers to the density of k-tuples. The author defines the asymptotic density of k-tuples into the infinite space of the natural numbers. He investigates three cases of asymptotic density of k-tuples. The author demonstrates two conjectures about the values of the Riemann function. Key words: density of the sequence, asymptotic density of the sequence, probability, independence of events, natural numbers, primes, the sieve of Eratosthenes, conjecture, Riemann function. Contacts: E-mail: znakvicvolf@mail.ru Pp. 47-56.