Signore Fibonacci has created a a balanced, six-sided die whose faces are labeled, naturally, 1, 2, 3, 5, 8, 13. He gives a pair to Enzo, who rolls them repeatedly, eager to get double 13s. Let \(X\) be the number of times he has to roll the pair of dice in order to see double 13s for the first time.

1. What is the pmf of \(X\)?
2. What is the expected value of \(X\)?
3. Find a closed-form expression for \(P(X\geq m)\).