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...
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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