Yes, you're correct! Whenever a new instance of PrimaryStatelessBean is created by the EJB container (and since it's a stateless annotated bean, you will get a new one for each request), then you will get injected a new instance of SecondaryStatelessBean (since it's most likely also a stateless annotated bean, based on your naming convention), and you will get access to the *one instance* of SimpleSingletonBean that has been created by the EJB container (since it's a Singleton annotated bean).