Beginner Exercise 158 / Solution

Solution  

lives by capturing the marked stones because White is short on liberties. ( can be at a.) Continuation follows.

Solution (White's error)  

White can't save the marked stones.

Solution (White's correct play)  

Black's capture of three stones is enough to make an eye.

Solution (White's correct play, cont.)  

makes the second eye.

Comment  

The important thing in this problem is that Black should never make the throw-in at either a or b, otherwise it kills the connect-and-die.