Of the 17 members of Xavier High School's honor society, 1 member will be chosen at random to attend a conference. The table below shows the number of honor society members according to class and whether they are in their first or second year in the honor society. What is the probability that the member chosen will NOT be a senior who is in his or her second year in the honor society?

$$ \begin{array} {|c |c|c|} \hline & \text{First year} & \text{Second year} \\ \hline \text{Junior} & 2 & 0 \\ \hline \text{Seniors} & 8 & 7 \\ \hline \end{array} $$

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There are 7 seniors in their second year. Therefore, the probability a senior in their second year is not chosen is:

$$ 1- \frac{7}{17} = \boxed{\frac{10}{17}} $$