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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.

 Nov 2, 2020
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Between 100 and 999, there are:999 - 100 + 1 =900 three-digit integers.

 

900 / 13 = 69 of them are multiples of 13

 

143  273  403  533  663  793  923  Total =  7 of those 69 are multiples of 13 and end in 3.

 

Probability is = 7 / 900 - that it is multiple of 13 and ends in 3

 Nov 2, 2020

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