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Answer the following.

A school offers students the choice of three modes for attending classes: • Mode A: Offline…

Mathematics20264 marksShort answer
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)[1.3333333333333333]
Represent the data in terms of probability. Define the events clearly.
(b)[1.3333333333333333]
Using Bayes’ Theorem, find the probability that the student attended the Recorded lectures (Mode C), given that they rated the class as “Excellent.”
(c)[1.3333333333333333]
Interpret your result. Which mode has the highest likelihood of being chosen if a student says “Excellent”?

Answer

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Probability

From ISC 2026 Specimen Mathematics Paper 1, question 10(ii).