Following are the details of exam results for Math and English for a class of 100 students.
PassedMathPassedEnglishPassedMath2520PassedMath3520
Find the probability that a student selected at random passed in:
1. both exams
2. exactly one exam
3. at least one exam [3 MARKS]
Solution: 1 Mark each
Total number of students = 25 + 35 + 20 + 20 = 100
Probability that a student passed both exams = 25/100 = 0.25
Probability that a student passed exactly one exam = (20 + 35)/100 = 0.55
Probability that a student passed at least one exam = (25 + 20 + 35)/100 = 0.8