Question 6
In the Fibonacci sequence, $T_1=T_2=1$ and $T_n=T_{n-1}+T_{n-2}$ for all positive integers $n\ge3$. Each of the first 2015 Fibonacci terms is written on an identical card. All the 2015 cards are then placed inside a box. Philip randomly picks up a card from the box. What is the probability that he will pick an odd number?