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 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