Asurvey finds that 48% of people identify themselves as fans of professional football, 12% as fans of car racing, and 9% as fans of both professional football and car racing. let event f be choosing a person who is a fan of professional football and let event c be choosing a person who is a fan of car racing.

which statements are true? check all that apply.

p(f|c) = 0.75
p(c|f) = 0.25
p(c∩f) = 0.09
p(c∩f) = p(f∩c)
p(c|f) = p(f|c)

P(F|C) = P(F and C) / P(C) = 9% / 12% = 3 / 4 = 0.75                         [TRUE]

P(C|F) = P(C and F) / P(F) = 9% / 48% = 3 / 16 = 0.1875 ≠ 0.25        [FALSE]

P(C∩F) = 9% = 0.09                                                                             [TRUE]

P(C∩F) = P(F∩C)                                                                                 [TRUE]

P(C|F) = 0.1875 ≠ P(F|C) = 0.75                                                          [FALSE]