The article studies the characteristics of an information control network with a random multiple access algorithm with carrier control and collision avoidance by predicting the network load of the predictive p-persistent CSMA channel. A significant advantage of the algorithm in comparison with other algorithms of the class of random multiple access is the dynamic adaptability of the transmission persistence level to the channel load. This is achieved using an advanced mechanism for predicting the expected network load for each data transfer cycle. The result is a decrease in channel access time at low load and a reduced likelihood of data collisions at high load. The algorithm is widely used in fieldbus networks, including the sensor and industrial networks of LonWorks and BacNet. A literary review shows the interest of the world community in the application of the algorithm, for which research and modernization of its mechanisms are actively conducted. The purpose of this work is to study the influence of the law of the distribution of the number of slots of competition for access to a channel on the probabilistic and temporal characteristics of data transmission in a network with the slot access algorithm studied. The paper presents a brief description of the principles of operation of the studied access algorithm and describes the structure of the developed and used model in the simulation environment AnyLogic. The necessary simulation experiments of the functioning of the network with the services of reliable and unreliable message delivery were carried out using three different laws for choosing the slots of rivalry (uniform, normal, exponential). The analysis of the obtained characteristics of the network operation is made and conclusions are made about the impact of the laws of choice of access slots on the duration of transmission and the probability of data loss during various network channel loads and delivery services. Recommendations are formulated on the expediency of applying various laws for choosing access slots.