How do you initialize a list and add random values to it?

To initialize an empty list in Python, simply use square brackets: my_list = []. To add random values, import the random module and use functions like random.randint(a, b) for integers or random.uniform(a, b) for floats. You can add a single value with my_list.append(value) or generate multiple values in a loop or comprehension. For example, to create a list of 10 random integers between 1 and 100:

import random
my_list = [random.randint(1, 100) for _ in range(10)]

If you need to add values one by one, you can do:

for _ in range(10):
    my_list.append(random.randint(1, 100))

This approach is O(n) time and O(n) space, where n is the number of elements added. Using list comprehensions is generally more concise and slightly faster due to internal optimizations.