Winning 1 vs. 1

In the example below black has the turn and black wins the game because he has the opposition: there is one piece placed in his system; remember odd'n'turn from concepts

Black moves 22-18 to force white to the side of the board White has the choice between 17-13 or 17-21 both equally bad Black moves 18-14 and traps white at the side of the board White has lost; his only two moves 13-9 and 13-17 loses immediately
Drawing 1 vs. 1

In this next example it is whites turn and eventhough black has the opposition he  will only draw the game because white is able to reach a double corner.

White escapes into the double corner by moving 9-5 Black follows with 10-6 in a futile attemp to trap white  White moves 5-1 protected by the double corner Black cannot capture and has to move away.
Winning 2 vs. 1

In this example black wins over white because of an advantage in material (he has one piece more), white tries to seek refuge in the double corner but this time it won't help him any.

Black lines up his pieces in order to enter the double corner with 5-9 white has no choice but to go 1-6 Black forces white to the side of the board with 5-1 so white has to go 6-2 The natural 14-10 won't do because white can move back 2-6 instead black moves 14-18 and white has only 2-7 left White has lost; black moves 18-15, white has to move either 7-2 or 7-3 but black will move 15-11 and trap him
Winning 3 vs. 2

There are two ways of winning 3 vs. 2. In this first example of how to win 3 vs. 2 white has placed his to pieces in opposite double corners but black can force an exchange and win the same way as 2 vs. 1.

Black lines up his 3 pieces on one of the middle diagonals; in this case it is the wrong one and he has to move the 3 pieces to the other diagonal he starts with 15-18 this is followed by white with 5-9 then black 19-24 If white moves 32-28 black immediately gets the desired exchange by 18-15. If white moves 9-13 black traps the piece at the side by 10-14 so white is forced to move 9-5 black follows with 10-14 If white moves the piece placed on 5 black will get the desired exchange with 24-27, so white moves 32-28 and black moves 24-27 anyway, white has to move back 28-32 and black goes 27-23 and obtains the desired lineup Black can now force the exchange by 14-19 or 23-27 since white can't move both of his pieces. Black now wins the game as shown in winning 2 vs. 1

In this second example of how to win 3 vs. 2 white has placed his to pieces in the same double corners but black can force white out of the double corner by a sneaky sacrifice followed by an exchange and black wins by having the opposition.

Black moves 17-14! which seems like a terrible mistake since white has a 2 for 1 trap with 6-9  Unfortunately black would have the opposition so white must move 6-2, black follows with another bizzare move 13-9! This time white thinks OK now I got him and moves 1-6 (if 2-7 black 14-10 gets the exchange and wins as 2 vs. 1) black follows with 5-1 White has been forced out of the double corner but he has the opposition so he should be safe ? Wrong black moves 14-9! and reverses the opposition and wins by pinning white against the side as in 1 vs. 1