This week's book giveaway is in the OCAJP 8 forum. We're giving away four copies of OCA Java SE 8 Programmer I Study Guide and have Edward Finegan & Robert Liguori on-line! See this thread for details.
Each lookup will create a new stateful bean instance. So effectively, your two servlets are using different instances of the stateful bean. If you want to see the same state between those servlets, then you should be sharing one instance of the stateful bean.