IEEE 802.11 is a well-known standard for wireless local area networks for both infrastructure based and ad-hoc networks. In the authors' paper, they will work on the MAC layer in wireless network. In this paper, they will study and analyze the theoretical and mathematical model of random access channel in wireless network. Wireless network aloha is feasibly the simplest and most-studied medium access control protocol in existence. Earlier study on aloha using a slotted aloha, pure aloha and OFDMA aloha have shown that the usage trend analysis very much depends on the performance of the multiple channel schemes that divided frequency and time slots.