A method and a subscriber station for allocating rights of access to a telecommunications channel of the telecommunications network to at least one subscriber station (5, 10, 15, 20) are proposed in which information signals are transmitted to the at least one subscriber station (5, 10, 15, 20). With the information signals, access authorization data (45, 50, 55) are transmitted to the at least one subscriber station (5, 10, 15, 20). Upon reception of the access authorization data (45, 50, 55) in an evaluation unit (6) of the at least one subscriber station (5, 10, 15, 20), the question is asked whether the access authorization data (45, 50, 55) include an access threshold value (S), and the access threshold value (S) is compared with a random number or a pseudo-random number (R), and the right of access to a telecommunications channel of the at least one subscriber station (5, 10, 15, 20) is granted as a function of the outcome of comparison.