In: Statistics and Probability
In a certain semester, 500 students enrolled in both Calculus I and Physics I. Of these students, 82 got an A in calculus, 73 got an A in physics, and 42 got an A in both courses. Which of the following probabilities is the smallest? The probability that a randomly chosen student...
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 Got an A in both of the two courses  | 
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 Got an A in physics but not calculus  | 
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 Got an A in at least one of the two courses  | 
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 Got an A in calculus but not in physics  | 
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 Got less than an A in at least one of the two courses  | 
Let X be the event that the student got an A in Calculus I
Y be the event that the student got an A in Physics I
So here
N = 500
n(X) = 82
n(Y) = 73

a) the probability that a randomly chosen student Got an A in both of the two courses

b) the probability that a randomly chosen student Got an A in physics but not calculus

c) the probability that a randomly chosen student Got an A in at least one of the two courses

d) the probability that a randomly chosen student Got an A in calculus but not physics

e) the probability that a randomly chosen student Got less than an A in at least one of the two courses


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