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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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, โ€ฆ. Number of numbers divisible by both 2 and 3, less than 25 = 4 Thus, P(number divisible by both 2 and 3) = (๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ๐‘  ๐‘‘๐‘–๐‘ฃ๐‘–๐‘ ๐‘๐‘™๐‘’ ๐‘๐‘ฆ ๐‘๐‘œ๐‘กโ„Ž 2 ๐‘Ž๐‘›๐‘‘ 3)/(๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ๐‘ ) = ๐Ÿ’/๐Ÿ๐Ÿ“ So, the correct answer is (c)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.