Functions

import collections
import random

def dice_roll():
    return random.randint(1, 6)

def index_of_same(rolls):
    counter = collections.Counter(rolls)
    rolls.sort(key= lambda x:(counter[x], x))
    nbr_the_same = max(counter.values())
    return range(len(rolls) - nbr_the_same)

def reroll(rolls):
    reroll_indices = index_of_same(rolls)
    for index in reroll_indices:
        rolls[index] = dice_roll()

Using them

random.seed(2)
rolls = [1, 1, 4, 3, 2]

count = 1
while max(rolls) != min(rolls):
    reroll(rolls)
    count += 1
    print(rolls)
count