Beginner Exercise 158 / Solution

Solution  

kills because white's group is short on liberties. Continuation follows.

Solution (White's correct play, cont.)  

makes the second eye.

Note that Black has to capture three stones to be able to make the eye.

Also, Black could start with instead of .

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.