Question 1112147:  Let S be the event that a randomly selected college student has taken a statistics course, and let C be the event that the same student has taken a chemistry course. Suppose P(S) = 0.35, P(C) = 0.26, and P(S ∩ C) = 0.16  
Find the probability that a student has taken neither statistics nor chemistry. 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website!  Let S be the event that a randomly selected college student has taken a statistics course, and let C be the event that the same student has taken a chemistry course. Suppose P(S) = 0.35, P(C) = 0.26, and P(S ∩ C) = 0.16  
Find the probability that a student has taken neither statistics nor chemistry. 
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Note:: (S OR C)' = S' AND C' 
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S' AND C' = S' + C' - (S' OR C') = S'+C'- (S AND C)' = 0.65+0.74-0.84 = 0.55 
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Cheers, 
Stan H. 
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