## A 'Game of Thrones' Maths Puzzle

Four prisoners escape from the dungeons at King’s Landing and head for the Wall;
a distance of 700 leagues. The **Maester** travels 1 league in the first day,
then each subsequent day, doubles the distance he travelled the previous day.
The **Whore** travels 50 leagues each day. The **Knight** travels 80 leagues
each day, and 20 leagues each night. The **Squire** travels 350 leagues the
first day, then each subsequent day, travels half the distance he travelled the
previous day.

Two days after the prisoners escape, the **Mountain** is sent out to hunt them
down and kill them. He travels 100 leagues each day. The Maester has a 5% chance
of talking the Mountain out of killing him. The Whore has a 20% chance of
seducing the Mountain and escaping death. The Knight has a 45% chance of
defeating the Mountain in combat. The Squire has a 70% chance of evading the
Mountain. All prisoners risk being attacked and killed by wolves; a 5% chance
each day, and a 25% chance each night. If any prisoner reaches the Wall they
’take the black’ and live out their days in the Night’s Watch.

Assuming all prisoners have enough food, water and clothing, which of them is guaranteed to die before they reach the Wall, and how will they die?