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)

Based on the given probabilities, the following are true:

Assume that F is for the probability that a person is a fan of football and C is for fans of car racing.

P(F|C) = P(F∩C) / P (C)

= 0.09 / 0.12

= 0.75

P(F∩C) is the same as P(C∩F). P(C∩F) is therefore 0.09 or 9%.

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P(F|C) = 0.75

P(C∩F) = 0.09

P(C∩F) = P(F∩C)

Step-by-step explanation:

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.

By the given information we have:

P(F)=48%=0.48

P(C)=12%=0.12

Now,

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step-by-step explanation:

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step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse