For green sweets, probability is 8 / 30 = 4 / 15 (or approximately 0.267). For yellow sweets, sample probability is 7 / 30. In 600 sweets, the expected yellow sweets count is (7 / 30) x 600 = 140.
A teacher mixes a large bag of sweets of different colours and randomly selects a sample of 30 sweets. She counts the number of sweets of each colour: 10 red sweets | 8 green sweets | 7 yellow sweets | 5 blue sweets (i) Calculate the probability that a randomly picked sweet from the sample is green. (ii) If there are 600 sweets in total in the large bag, estimate how many are likely to be yellow, based on the sample results.
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Total sweets in sample = 30.
(i) Number of green sweets = 8.
Probability of picking a green sweet = Number of green sweets / Total sample sweets = 8 / 30 = 4 / 15 (approximately 0.267 or 26.7%).
(ii) Number of yellow sweets in sample = 7.
Probability of yellow sweet = 7 / 30.
Total sweets in bag = 600.
Estimated yellow sweets = (7 / 30) x 600 = 7 x 20 = 140.
Hence, an estimated 140 sweets are yellow.
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/