The article ?Americans Growing More Concerned About Head Injuries in Football? (theharrispoll.com, December 21, 2015) describes a survey of 2096 adult Americans. Survey participants were asked if they were football fans and also if they agreed or disagreed that the rules that the National Football League adopted in 2010 designed to limit head injuries have been effective. Data from the survey are summarized in the table below.

Suppose that a survey participant is to be selected at random. Consider the following events:

A = event selected participant agrees that the rules have been effective

D = event selected participant disagrees that the rules have been effective

F = event selected participant is a football fan

Calculate the following probabilities

a. P(A)

b. P(D)

c. P(A|F )

d. P(A|FC )

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Total Football Fan Not a Football Fan Total Agree 693 229 Disagree 523 651 1,174 1,216 880 922 2,096