Question

Out of 75 students, 45 are taking Algebra 2 and 32 are taking Chemistry. Sixteen students are taking both Algebra 2 and Chemistry. If a student is chosen at random, what is the probability that the student is taking Algebra 2 but not Chemistry?

Answer 1

P = 29/75

The probability that a student chosen at random is taking Algebra 2 but not Chemistry is 29 out of 75.

Step-by-step explanation:

To find the probability that a student is taking Algebra 2 but not Chemistry, we need to consider the total number of students taking Algebra 2 and subtract those who are also taking Chemistry.

According to the given numbers, 45 students are taking Algebra 2 and 16 of these are also taking Chemistry.

Thus, the number of students taking only Algebra 2 is

45 - 16 = 29

Since there are 75 students in total, the probability of selecting a student at random who is taking Algebra 2 but not Chemistry is 29 out of 75.

The formula to calculate this probability (P) is

P = Number of favorable outcomes / Total number of outcomes.

Therefore, P = 29/75.

Answer 2

Answer
29/75
Explanation
Total number of students = 75
Number of students taking algebra n(A) =45
Number of students taking chemistry n(C)=32
Number of students both taking algebra and chemistry n (ANC) =16
Number of students taking algebra only = n(A)-n(ANC)
=45-16
=29
The probability That the students are taking algebra not chemistry = 29/75