https://i.imgur.com/O3EggFY.png (0% guessed right after 15 key presses)
Here's the sequence I used. I'd be interested if this works for other people too:
1: right
2: right
3: right
4: right
5: right
6: right
7: left
8: right
9: right
10: right
11: left
12: right
13: left
14: right
15: left