I realized after I posted the title, this would be much easier with coins. Sorry.

Here is my question:

If you had to flip heads to win and you could re-flip ONCE, if you didn't flip heads on the first attempt, what is the probability of flipping heads?

Is it still 50/50 because the flip events are independent? Or is the probability higher of flipping heads if you can re-flip the first loss?

Thank you.