The proportion of students that passed at least one exam = 97.41% or 0.9741
Step-by-step explanation:
% of students that passed the first exam = 75%
% that failed the first exam = 100% - 75% = 25%
% of students passed the second exam = 72%
% that failed the second exam = 100% - 72% = 28%
% of students passed the second exam = 63%
% that failed the third exam = 100% - 63% = 37%
the proportion of students that passed at least one exam = 100% - the percentage of those who failed all the three exams
the proportion of those who failed all the three exams = 25% × 28% × 37%
= 0.25×0.28×0.37 = 0.0259
the percentage of those who failed all the three exams = 100 × 0.0259 = 2.59%
the proportion of students that passed at least one exam = 100% - 2.59%
The proportion of students that passed at least one exam = 97.41% or 0.9741