Predicting a Die Roll

Two independent, fair 6 sided dice are rolled. The first die face shows a \(3\). The second die rolls under the table, so you can not see its face. The probability that the dice under the table is \(3\) given that the first dice is \(3\) can be written as \(\frac{a}{b}\), where \(a\) and \(b\) are positive coprime integers. What is the value of \(a + b\)?

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