A student studying for a master's degree in sports management is working on a thesis about the prevalence of women's college sports since Title IX mandated equal access to women. He compiles data on 119 schools with football teams that compete in the NCAA FBS (which most fans still call Division 1-A), and finds that 69 have a women's golf team, 63 have a field hockey team, and 83 have a women's swimming team. There are 28 schools that field teams in all three sports. Forty-six have golf and women's swimming teams. 40 have women's swimming and field hockey teams and 47 have women's golf and field hockey teams.

(a) How many schools have a women's golf team, but no women's swimming or field hockey?

(b) What percentage of teams have at least two of the three sports?

(c) If you pick one of the schools in the study at random, what's the percentage chance that it has none of those three sports?

Answer rating: 100% (QA)

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