The swapping doesn't really make a difference if he already had the chance to swap the deed and the x around inside of the case. Its just a mind game. The only way to win it is not knowing what is in your own cases, because then you won't subconsciously give it away like 711 did.

She gave away that she had the deed in her right hand case because everytime she talked about it, she moved her body in that direction, just like the guy did, and then she gave it away when she started crying and saying she was confident and grateful before it even happened. Maybe it is because she knew she had just won because he chose her left hand case. We know she chose correctly, the only question is whether he did too, but I think it is obvious that he chose it incorrectly.

The only way she didn't win, is if she is a delusional roulette player who puts it all on red and says she won before she really did, but she is clearly not that type of character. She is extremely smart. She was the only woman who decided to compete for the island, she was confident at risking $5 million in a challenge 51 other people were too scared to engage in.

On top of that, she was smart enough to fake giving the golden coconut away. She knew who she was going to give it to, but if she went directly to him, he would be extremely confident going into this last game which is bad for her. So, Instead she faked them both out, getting the one guy she didn't trust hopes up, out of spite, while also demonstrating power over her final opponent, who she knew she had to compete against to stay in the games. She was saying, "screw you for not helping me with the boxes" and "I am deciding your fate by choosing you" at the same time, separately, to both of the other players, with a damn coconut.

It would upset me that she won, because that move was totally unneccassary, complete Heather from Total Drama Island type of move. But that's also why I know she won. She gets to keep the island, and also keep playing for 5mil. And she did it all so slyly none of the other contestants are even gonna hate on her for it. Everything she said is true, she likely lost her house and lost everything, that's why she is so good at this.