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RFID (Radio Frequency Identification) technology can identify an object and get its information conveniently and automatically via radio waves, but it causes security and privacy problems for its exchange information without contact and without notifying the tag owner. In response to this situation, scholars propose many authentication protocols based on cryptographic techniques. Random numbers play a very important role in those protocols, but the incorrect using of them leads the protocols vulnerable to attacks. This paper takes focus on the random numbers in related authentication protocols, then gives some rules about the using of the random numbers, proposes an analysis method of using random numbers in RFID schemes to achieving the security and privacy goal, and examples are given at the end.