Support To become an expert on a musical instrument, a person must practice. ██ ██████ ████████ █ ███████ ██████████ ███ █████ █████ ████ ████ ████ ████ ██████████ ██████ ███████ ██ ████ ███████████ ██████████ ██ █ ██████ ██ ██ ██████ ██ █ ███████ ███████████ ████ ██████ ████ ████ █████████ ███ ██ █████ █████ █████ ████ ████
The argument starts by telling us that practice is a necessary condition for someone to become an expert on a musical instrument:
expert → practice
Then, we're told that practicing a musical instrument for three hours a day is a sufficient condition for someone to eventually become an expert on that instrument:
practice three hours a day → expert
The argument concludes that if someone is an expert on a musical instrument, they must have practiced at least three hours every day:
expert → practice three hours a day
Which one of the following ████ ██████████ █████████ █ ████ ██ ███ █████████ ██████
The conclusion fails ██ ████ ████ ███████ ████ ██████ ███ ████████ ███ █████ █████ █████ ███ █████ ███ ███ ████ ███████ █ ██████ ██ ███████████ ████ ████████ █████ ████████ ███████
The conclusion fails ██ ████ ████ ███████ ████ ██████████ ███ ████ ████ █████ █████ ████ ███ ███ ██ ██████ ███ ████ ██████ ██ ██████ ████████
The conclusion fails ██ ████ ████ ███████ ████ ██ █ ██████ ███ ███ █████████ ███ ██ █████ █████ █████ █ ████ ███ ██████ ███ ███ ██████ ██ ███████
Incorrect. (C)'s claim that "if a person has not practiced for at least three hours a day, the person has not become an expert" translates to:
/practice three hours a day → /expert
By the contrapositive: expert → practice three hours a day
In other words, the contrapositive of this claim translates to: "If someone has become an expert, they must have practiced at least three hours a day." This is exactly what the conclusion says, so notice that it's just descriptively inaccurate to say that the conclusion fails to take this into account. And this claim that practicing three hours a day is necessary to become an expert is exactly what's not supported by the premises of the argument.
The conclusion fails ██ ████ ████ ███████ ████ █████ ███████████ █████ ██ █████ ████████ ██ ███ ███████████ ██ ███ █████ █████████
The conclusion fails ██ ████ ████ ███████ ████ ███ ██████ ████ ███ █████ ████ █████████ ██ ██████ █████ █████ █████ ██ █████████