Question

A bag contains eight chips numbered 1 through 8. two chips are drawn randomly from the bag and laid down in the order they were drawn. what is the probability that the 2-digit number formed is divisible by 3? convert to a percent and round to the tenths place.

Answer 1

There are 56 possible combinations when drawing two chips. Remember that you cannot draw two of the same chips from the bag, so 11, 22, 33, 44, 55, 66, 77, and 88 are not possible. Therefore, 20 of 56 combinations are divisible by 3, or approximately 36 percent. 12,13,14,15,16,17,18 21,23,24,25,26,27,28 31,32,34,35,36,37,38 41,42,43,45,46,47,48 51,52,53,54,56,57,58 61,62,63,64,65,67,68 71,72,73,74,75,76,78 81,82,83,84,85,86,87