Two distinct numbers are selected simultaneously and at random from the set {1,2,3,4,5,6} . What is the probability that the smaller one divides the larger one? Express your answer as a common fraction.
6 C 2 =15 combinations as follows:
{1, 2} | {1, 3} | {1, 4} | {1, 5} | {1, 6} | {2, 3} | {2, 4} | {2, 5} | {2, 6} | {3, 4} | {3, 5} | {3, 6} | {4, 5} | {4, 6} | {5, 6} (total: 15)
Probability = 8 / 15
1 divides 5 other integers
2 dvides 2 other integers
3 divides 1 other integer
We have C(6, 2) = 15 possible outcomes
The probability = 8 / 15
