"What were the odds of a men vs. women draw in that challenge in Nicaragua?"1/231 which is 0.4%
4 members of each tribe pulling the same color buff: 1/128.
Not impossible odds but it's fascinating how often amazing things come from randomness on Survivor. Take the African "drive-in" reward: Wasn't it just perfect how Frank and Brandon wound up together and then won. Same with the Marquesan tribal feast. Paschal and Sean together worked a lot better than say, Zoe and the General. And, on another note, what did Eliza mean when she wrote that she couldn't comment on some events that happened just before the Leann boot?
Were all those fixed? Maybe not but no one wins the lottery every time they buy a ticket!
Yes, the buffs were picked individually on the air but that proves nothing. Magicians trick people every day.
Why do you think there are so many twists? Twists are the producers' way of changing the game when things don't go the way they like. And, when twists aren't enough, there are other ways to tip the scale.