In a certain semester, 500 students enrolled in both Calculus I and Physics I. Of these...

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
		Got an A in physics but not calculus
		Got an A in at least one of the two courses
		Got an A in calculus but not in physics
		Got less than an A in at least one of the two courses

Solutions

Expert Solution

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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orchestra answered 1 year ago

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