The Final Three is Christine, Cody, and Kathy Hillis.
It's the competition where they have true and false paddles. Cody is out of the competition, so Christine has to win it for their showmance. The evil Kathy Hillis must fall.
It's the final question. Christine and Kathy are tied. Here's the question:
"How many couples were in the house?"
This should be easy. Christine and Cody were the only showmance in the house. If it's true... God, it would bring further shame to Tim and Christine's reputation. To save face, she holds up "false". Kathy, being the clever woman she is, says "true"
Julie: The answer is... TRUE
Kathy wins, Cody pouts, Christine cries, and Tim's heart dies.
The Final Three is Christine, Cody, and Kathy Hillis.