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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.

 
 Oct 9, 2021
 #1
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1 will divide any so that is 5 pairs

2 divides 4 and 6 so there is 2 pairs

3 divides 6 so that is 1 pair

 

so 8 pairs are favourable

there are  6C2 = 15 pairs altogether

 

so   P(little one divides the larger one) is  8/15

 
 Oct 10, 2021

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