Question

Of the 117 students enrolled in Ms. Manzi's physics

classes this semester, 15 students
already
completed a precalculus course. Among the remaining
students, 72 students are taking precalculus currently.
When 1 of Ms. Manzi's physics students is selected at
random, what is the probability that the student has
NOT already completed precalculus and is NOT taking
it currently?

Answer 1

0.2564 or 25.64%.

Step-by-step explanation:

Out of the 117 students, 15 have already completed precalculus and 72 are currently taking it. So, the number of students who have either already completed precalculus or are currently taking it is:

15 + 72 = 87

The number of students who have not already completed precalculus and are not currently taking it is:

117 - 87 = 30

So, the probability that a randomly selected student has not completed precalculus and is not currently taking it is:

30/117 = 0.2564 (rounded to four decimal places)

So, the probability that a randomly selected student has not completed precalculus and is not currently taking it is approximately 0.2564 or 25.64%.