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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.

 Apr 30, 2022
 #1
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We use a table to summarize the cases. 

  1 2 3 4 5 6
1 ✓ ✓ ✓ ✓ ✓ ✓
2 ✓ ✓   ✓   ✓
3 ✓   ✓     ✓
4 ✓ ✓   ✓    
5 ✓       ✓  
6 ✓ ✓ ✓     ✓

Out of 36 cases, 22 cases satisfy the condition.

 

Probability = 22/36 = 11/18

 May 2, 2022

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