No member of the Richardson Theater Group is both a performer and an administrator. █████ ████ ███ █████ ███ ████ ███████ ██ ███ ██████████ ███████ █████ ███ ███████ ██ ██ ██████████████ ██ ███████ ████ ████ ███ ███████████
The argument establishes a conditional relationship that applies to members of the Richardson Theater Group (if you’re e a performer, then you’re not an administrator). It then concludes that two members meet the sufficient condition (being performers) because they meet the necessary condition (not being administrators).
This argument features the cookie-cutter flaw of confusing a necessary condition for a sufficient condition. Not being an administrator is necessary to be a performer, but it is not sufficient. As such, it’s entirely possible to be neither an administrator nor a performer. Members of the theater group could have some other job instead, like sound technician or usher.
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