Paddy Wants a Chocolate Chip Cookie

In a cookie jar, there are \(6\) chocolate chip cookies and \(8\) oatmeal cookies. Hungry Paddy takes out the cookies one at a time and proceeds to eat them. The probability that the \(7^{\mbox{th}}\) cookie that Paddy eats is a chocolate chip cookie is \( \frac {a}{b} \), where \(a\) and \(b\) are positive coprime integers. What is the value of \(a+b\)?

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