Two distinct numbers are selected simultaneously and at random from the set (1,2,3,4,5) . What is the probability that the smaller one divides the larger one? Express your answer as a common fraction.
Thanks!
We have 5C2 = 10 possible sets......let's list these
(1,2) (2, 3) (3, 4) (4,5)
(1,3) (2, 4) (3, 5)
(1, 4) (2,5)
(1, 5)
Note that 1/2 of these meet the criteria of having the larger number being divisible by the smaller