NABTEB Mathematics 2025 Theory — Question 4
Question 4 of 12 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2025 Theory paper, with the correct answer and a full explanation.
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4. Table 2.1 shows the distribution of marks scored by 60 students in an examination (Table given: intervals 1-10 to 41-50 with frequencies). (d) Out of 20 students, find the probability that a randomly selected student failed (scored less than the pass mark of 16). (7 marks)
Model answer
Using the cumulative frequency for the relevant sub-sample of 20 students where 7 scored 16 and above (passed): P(passed) = 7/20. Since P(passed)+P(failed)=1, P(failed) = 1-7/20 = 13/20.
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