The probability for Arts Club is 11 / 40 = 0.275 (27.5%). The sample proportion for Sports Club is 9 / 40. Across 800 students, the estimated count is (9 / 40) x 800 = 180 students.
A survey is conducted at a school where a random sample of 40 students is asked about their favourite club. The responses are: 14 students: Science Club | 11 students: Arts Club | 9 students: Sports Club | 6 students: Debate Club. Assume there are 800 students in the whole school. (i) What is the probability that a randomly chosen student from the sample prefers the Arts Club? (ii) Using the sample results, estimate how many students in the whole school are likely to prefer the Sports Club.
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Total students in the sample = 40.
(i) Number of students preferring Arts Club = 11.
Probability(Arts Club) = Number of Arts Club students / Total sample size = 11 / 40 = 0.275 (or 27.5%).
(ii) Number of students preferring Sports Club in sample = 9.
Probability(Sports Club) = 9 / 40.
Total school population = 800.
Estimated students preferring Sports Club = (9 / 40) x 800 = 9 x 20 = 180.
Therefore, approximately 180 students prefer Sports Club.
For more NCERT Solutions of Class 9 Ganita Manjari Chapter 7 The Mathematics of Maybe: Introduction to Probability Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-7/