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
Last updated at Dec. 16, 2024 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: (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, โฆ. Number of numbers divisible by both 2 and 3, less than 25 = 4 Thus, P(number divisible by both 2 and 3) = (๐๐ข๐๐๐๐ ๐๐ ๐๐ข๐๐๐๐๐ ๐๐๐ฃ๐๐ ๐๐๐ ๐๐ฆ ๐๐๐กโ 2 ๐๐๐ 3)/(๐๐๐ก๐๐ ๐๐ข๐๐๐๐๐ ) = ๐/๐๐ So, the correct answer is (c)