Mental Game $50k Loop Hole
When the final two friends had to go head to head, what she should have done is let her friend answer first and then her friend takes the $50k bribe to go again. Then she could have agreed to answer the next question correctly and take $50k bribe for herself.
And finally they both could have played the last round fairly with $50k in both their pockets.
Every player had the $50k offer to play at least twice.