—In this paper, we present a new spectrum-hole prediction model for cognitive radio (CR) systems based on the IEEE 802.11 wireless local areas networks. We have also analyzed the distribution of interval between two consecutive packets (ITCP) based on a simple two-user network. For multiuser networks, we have investigated the distribution of ITCP and study its characteristics using Bayesian inference. The effectiveness of the presented prediction model is validated by MATLAB simulation programs. Keywords-Cognitive Radio;Probability Density Function;ITCP;Prediction Probability;