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A school offers students the choice of three modes for attending classes: • Mode A: Offline…
A school offers students the choice of three modes for attending classes:
• Mode A: Offline (in-person) – 40% of students
• Mode B: Online (live virtual classes) – 35% of students
• Mode C: Recorded lectures – 25% of students
After a feedback survey:
• 20% of students from Mode A reported the class as “Excellent”
• 30% from Mode B rated it as “Excellent”
• 50% from Mode C rated it as “Excellent”
A student is selected at random from the entire group, and it is found that they rated the class as “Excellent.” (Analysis)
(a)
Represent the data in terms of probability. Define the events clearly.
(b)
Using Bayes’ Theorem, find the probability that the student attended the Recorded lectures (Mode C), given that they rated the class as “Excellent.”
(c)
Interpret your result. Which mode has the highest likelihood of being chosen if a student says “Excellent”?
Answer
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From ISC 2026 Specimen Mathematics Paper 1, question 10(ii).