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Suppose 2 distinct integers are chosen from 1 through 9, inclusive. What is the probability that they are both multiples of 3?

 Nov 8, 2020
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 Nov 8, 2020
edited by Guest  Nov 8, 2020
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Suppose 2 distinct integers are chosen from 1 through 9, inclusive. What is the probability that they are both multiples of 3?    

 

The multiples of 3 are 3, 6, and 9. 

 

The probability of choosing one of the three of them is 3/9. 

 

Then, the probability of choosing one of the other two is 2/8.  

 

                                                                        3           2            6           1

The probability of both things happening is    –—   x   –—   =   –—   =   –—   

                                                                        9           8           72          12  

 

 Nov 8, 2020

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