A set of 48 cards is numbered with positive integers from 1 to 48.If the cards are shuffled and one is chosen at random, what is the probability that the number on the card is a multiple of both 6 and 8?
Accepted Solution
A:
multiples of 6 = 6, 12, 18, 24 , 30, 36 ,42 , 48multiples of 8 = 8, 16, 24,32,40,48Β 24 & 48 are the common multiples so there is a 2 out of 48 chance which is 2/48 which reduces to 1/24 probability