  Magic is a critical property of quantum states that plays a pivotal role in
fault-tolerant quantum computation. Simultaneously, random states have emerged
as a key element in various randomized techniques within contemporary quantum
science. In this study, we establish a direct connection between these two
notions. More specifically, our research demonstrates that when a subsystem of
a quantum state is measured, the resultant projected ensemble of the unmeasured
subsystem can exhibit a high degree of randomness that is enhanced by the
inherent 'magic' of the underlying state. We demonstrate this relationship
rigorously for quantum state 2-designs, and present compelling numerical
evidence to support its validity for higher-order quantum designs. Our findings
suggest an efficient approach for leveraging magic as a resource to generate
random quantum states.
