Question 7 - Past Year MCQ - Chapter 15 Class 10 Probability (Term 1)
Last updated at Aug. 7, 2021 by Teachoo
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:
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)
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.
