Into the merge and BB was the first sent packing despite having the powerhouse Punisher by her side. What went wrong, despite Brittanya's stupidity was there really ANY way to save herself? Lets see what went wrong.
Rule 1 - Make Allies, Keep Allies
Blonde Baller was a key member of the girls alliance and... not much else. From the looks of things she didnt seem to do much outside that alliance.
Rule 2 - Keep Control of Your Emotions
A small loss here, looking back at episode four, marcia was booted in part for insulting Chi Chi's dead dad, fast forward to this episode and hurling insults over at Garth and Pun about their dads... Not a great plan when trying to secure safety.
Also what came up several times was BB's supposed behind the scenes bitching sessions around Brittanya. If theres any reason not to insult others, theres your reason. No point in making personal enemies to compound your game further.
Rule 3 - Strategize
BB didnt seem to strategize much during the show. Heck! When the challenge was over she seemed to pretty much roll over and give up. In fact if it wasnt for Sassy she wouldnt even have had a glimmer of a chance.
But she missed that chance by again doing nothing. While Pun is a big target, its foolish to ignore his many allies. Placing his other allies in WITH help from Corn-Fed and Mindy (and possibly even drawing Fransisco on side by promising him Brittanya) would have been more useful than just allowing Sassy to join her in the box.
Rule 4 - Dont OVER Strategize
Now... Alliance-wise she failed here. If theres any rules on alliances its dont let yourself be seen as the leader and she pretty much was seen as the leader above Sassy (the true leader) and Hot Wings thus ensuring she would be the first targeted come gametime.
Rule 5 - Dont Trust anyone 100%
No foul here
In a nutshell: BB lost because she didnt understand how big of a target she made herself. Once she did realise, she didnt do anything about it...
THEN again, Brittanya is a complete doofus who thinks with her fanny. So maybe she was screwed from the start.