This article contains spoilers for season 8
There is a lot to be discussed now that 'Game of Thrones' season 8 episode 2 has been aired. The first one being the fate of Tyrion Lannister and his brother Jaime Lannister. The two characters started off as two of the most hated and as seasons passed by, each of them has evolved and now, Tyrion especially boasts of a huge fan following. In the show's final season, many of our favorite characters will face death and only some will survive. Both Tyrion and Jaime are expected to meet their ends in the upcoming episodes from what we have seen of the show so far.
A new episode begins tonight at 9PM on @HBO. #GameofThrones pic.twitter.com/pMVR0yAQi7— Game of Thrones (@GameOfThrones) April 21, 2019
In the first episode, Cersei had handed a crossbow to Bronn and tasked him with killing Tyrion and Jaime if they ever escaped the Great War. That was the first hint at how Tyrion might face his end. In the second episode, after Jaime reveals that Cersei lied to them about sending an army, Daenerys Targaryen is mad at her Hand for being fooled by his sister. She even tells him that she is ready to find a different Hand if things were to continue to be the same and Tyrion turns around to tell Jorah and Lord Varys that one of them would be replacing him soon enough.
He then tells Dany in the following scene that he wants to fight in the war alongside others, but she puts the kibosh on this idea and wants him to be safe; she still needs a Hand if they survive the fight. So we can conclude that Tyrion would be with the kids and the women in the crypt. While he did tell Jaime that he wishes Cersei doesn't have the chance to kill him, there is something to be said for poetic justice - he did kill his father Tywin with a crossbow.
Speaking of Jaime, he is set to serve under Ser Brienne of Tarth in the war. He was vouched for by her and when he asks her support, he says "I am not the same warrior that I once was." He has only one hand, and he has never fought the unliving before. This combined with his conversation with Bran, when he tries to apologize what he did in the past he asks Bran why he didn't tell others about it. Bran says that would have meant that they wouldn't have Jaime fighting on their side. Jaime then asks Bran, "What about after the war?" To this Bran replies that there might not be 'after the war'. This also indicates that while Jaime might play a key role in the War of Winterfell, he might not make it out alive.