(Solved):   Give your answers as exact fractions in lowest terms! To input a fraction, say 173 over 20 ...

 

Give your answers as exact fractions in lowest terms! To input a fraction, say 173 over 2000 , put \( 173 / 2000 \) A number is chosen at random from the set \( \mathrm{S}=\{1,2,3, \ldots, 2000\} \). What is the probability that it is divisible by 13 ? What is the probability that it is divisible by 17? What is the probability that it is divisible by 13 or 17 ? What is the probability that it is divisible by exactly one of 13 and 17 ?