I mean, this isn't even a puzzle to me. I don't get it.

If she was asked what are the odds that' she's been awakened twice - it's 50/50.

There's no conundrum at all that I see. They toss the coin one time and it's either heads or tails. it doesn't matter if she's awake or asleep. Nothing changes, even from her point of view.

The only thing she can't know is whether or not she was awakened twice or once. Heads or tails. She doesn't know which, but it's 50/50