SOLUTION: 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) =

Algebra ->  Probability-and-statistics -> SOLUTION: 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) =      Log On


   



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) About Me  (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.
----
Note:: (S OR C)' = S' AND C'
------------------------------
S' AND C' = S' + C' - (S' OR C') = S'+C'- (S AND C)' = 0.65+0.74-0.84 = 0.55
---------------
Cheers,
Stan H.
----------------