2. On the Island of Misfortune, only knights, who always tell the truth, and liars, who always lie, live. The island is governed by a group of 101 people. At the last meeting, it was decided to reduce this group by 1 person. But each member of the group stated that if they were removed from the group, the majority of the remaining would be liars. How many knights and how many liars are in the group?
2. 50 knights and 51 liars. Let there be $k$ knights in the group, then there are $101-k$ liars. Each one said that if they were removed, there would be no less than 51 liars among the remaining 100 people. Since the knights told the truth, then $k-1 \leq 49$ and

![](https://cdn.mathpix.com/cropped/2024_05_06_f25cdd6711bf7ba158eag-1.jpg?height=57&width=1508&top_left_y=1174&top_left_x=411)
$k=50$.