The glamour model will be voted out over show villains Heidi and Spencer Pratt, Rylan Clark and Claire Richards according to Ladbrokes, who have given her odds of 4/6.
Steps singer Richards is the next most likely to be evicted with odds of 9/4, while Speidi and Clark are outsiders at 4/1 and 25/1 respectively.
William Hill have also named Banghard as the 8/13 favourite for eviction, reasoning that she is "too nice to stay" in the "feisty" Big Brother house.
"The house has sparked into action with the events of recent days and it seems the only person who is not getting involved is Lacey," a William Hill spokesperson said. "It may be her inactivity that causes her to get the boot."
Banghard and the Pratts were nominated for eviction by their fellow housemates yesterday (January 13), while Richards and Clark were chosen by Speidi upon returning from their secret stay in the luxury basement on Friday (January 11), sparking a number of explosive arguments.
Despite facing eviction, Clark remains favourite to win Celebrity Big Brother with odds of 8/11.
Heidi and Spencer have risen to joint fifth in the rankings with Gillian Taylforth at 16/1. Neil Ruddock (4/1), Frankie Dettori (5/1) and Ryan Moloney (10/1) are the other frontrunners.
Celebrity Big Brother continues tonight at 9pm on Channel 5.
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Copyright: Channel 5