SouthernGoPlayer: Berlou is correct in that if White plays first and descends at Q1 then P2 group is isolated with one eye. White connects the Q2 string and then wins any capturing race against the P2 group.
d4rkm4tter: I added stones to make the Q1 decend not possible.
hoshi911: counting the liberties for black states also one less,
than it should be.
In the current situation, for black there are
14 liberties for the eye and 21 other outside liberties,
so in total 35 for the favorite. However, solution states only 34 liberties.
d4rkm4tter: Modified. Black sacrifices two stones and one optional stone at the bottom was wrong.
hoshi911: if black starts, he can catch the white group D2-D7
by playing D1, obtains another eye and lives.
So this problem needs to be stated as unsetled.
I added stones to make the Q1 decend not possible.