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The three-digit positive integer has a ones digit of 3. What is the probability that is divisible by \(13\)? Express your answer as a common fraction.

 Feb 14, 2022
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900 / 13 ==69 multiples of 13 between 100 and 999

 

Of the 69 numbers above, only the following 7 end in 3:

(143, 273, 403, 533, 663, 793, 923) >>Total = 7

 

 

But, there are 90 integers between 100 and 999 that end in 3 such as: 103, 113, 123........973, 983, 993.

 

Therefore, the probability that it is divisible by 13==7 / 90

 Feb 14, 2022

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