Name Probability

A letter is known to have come either from 'TATA NAGAR' or from 'CALCUTTA'. On the envelope, just two consecutive letters TA are visible. What is the probability that the letter came from 'TATA NAGAR'? The answer will be in the form of \(\frac{p}{q}\), where \(p\) and \(q\) are coprime positive integers, find \(p+q\).

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