In a recent semester at a local university, 540 students enrolled in both General Chemistry and Calculus I. Of these students, 51 received an A in general chemistry, 59 received an A in calculus, and 30 received an A in both general chemistry and calculus. Find the probability that a randomly chosen student did not receive an A in general chemistry.

Question

Mathematics

Brayden Sampson

2 June, 03:27

In a recent semester at a local university, 540 students enrolled in both General Chemistry and Calculus I. Of these students, 51 received an A in general chemistry, 59 received an A in calculus, and 30 received an A in both general chemistry and calculus. Find the probability that a randomly chosen student did not receive an A in general chemistry.

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Answers (1)

Know the Answer?

Warren Ponce · Answer 1

0.9056

Step-by-step explanation:

We are given;

Number of students enrolled in both General Chemistry and Calculus I = 540 students

Number of students who received an A in general chemistry = 51 students

Number of students who received an A in calculus = 59 students

Number of students who received an A in both general chemistry and calculus = 30 students

Now, we want to find the probability that a randomly chosen student did not receive an A in general chemistry.

So, first of all let's calculate number of students who didn't receive an A in chemistry.

So,

No without A in chemistry = 540 - 51 = 489 students

So, probability that a randomly chosen student did not receive an A in general chemistry = 489/540 = 0.9056