Question 7 - Past Year MCQ - Chapter 14 Class 10 Probability

Last updated at April 16, 2024 by

Question 7

A bag contains cards numbered from 1 to 25. A card  is drawn at random from the bag. The probability  that the number on this card is divisible by both 2  and 3 is:

(a) 1/5                                                    (b) 3/25

(c) 4/25                                                  (d) 2/25

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Transcript

Question 7 A bag contains cards numbered from 1 to 25. A card is drawn at random from the bag. The probability that the number on this card is divisible by both 2 and 3 is: (a) 1/5 (b) 3/25 (c) 4/25 (d) 2/25Total numbers = 25 Numbers divisible by both 2 and 3 = Numbers divisible by 6 = 6, 12, 18, 24, 30, 36, 42, …. Number of numbers divisible by both 2 and 3, less than 25 = 4 Thus, P(number divisible by both 2 and 3) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑛𝑢𝑚𝑏𝑒𝑟𝑠 𝑑𝑖𝑣𝑖𝑠𝑏𝑙𝑒 𝑏𝑦 𝑏𝑜𝑡ℎ 2 𝑎𝑛𝑑 3)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟𝑠) = 𝟒/𝟐𝟓 So, the correct answer is (c)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.