How to Implement the system model with simple Mac protocol

Time is divided into slots, and there are N nodes to communicate with one common base station. Suppose that each node always has a frame to send and attempts to transmit the frame in each slot with probability p. If two or more frames collide or no frame is transmitted in a slot, that slot is unsuccessful for transmission.

 What is the probability that a given slot is successful for transmission, i.e., any one
of N nodes successfully transmits a frame to the base station?
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