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Two distinct numbers are selected simultaneously and at random from the set (1, 2, 3, 4, 5, 6, 7). What is the probability that the smaller one divides the larger one? Express your answer as a common fraction.

 Apr 25, 2021
 #1
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          1    2    3   4    5   6    7

        _____________________

1              2    3   4    5   6    7    

2                         2         3

3                                    2

4

5

6

7

 

We  have   C(7,2)  =  21  possibiities

 

Only  9    meet  the  criteria

 

So

 

9  / 21  =     3 /  7

 

 

cool cool cool

 Apr 25, 2021

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