from typing import Sequence


def pool_keep_low(pool: Sequence[int], keep: int) -> tuple[int, ...]:
    """Keep a number of the lowest dice."""
    pool = list(pool)
    remove = len(pool) - keep
    for _ in range(remove):
        high_value = min(pool)
        high_index = 0
        for i, n in enumerate(pool):
            if n > high_value:
                high_value = n
                high_index = i
        pool.pop(high_index)
    return tuple(pool)