Problems

You may remember the game Nim. We will now play a slightly modified version, called Thrim. In Thrim, there are two piles of stones (or any objects of your choosing), one of size $1$ and the other of size $5$.
Whoever takes the last stone wins. The players take it in turns to remove stones - they can only remove stones from one pile at a time, and they can remove at most $3$ stones at a time.
Does the player going first or the player going second have a winning strategy?