SOLUTION: Two distinct numbers are randomly chosen from the set {1, 2, 3, …, 9}. What is the probability that the ratio of the larger number to the smaller number is an integer? Express your
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Question 1028218: Two distinct numbers are randomly chosen from the set {1, 2, 3, …, 9}. What is the probability that the ratio of the larger number to the smaller number is an integer? Express your answer as a common fraction. Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! There are C(9,2) = 36 ratios that can be formed from the set, with the numerator being greater than the denominator. Of these, exactly 14 are integers. (Verify by listing the ratios yourself!) Therefore the probability is 14/36, or 7/18.
