triangles.py

from random import seed
from random import randint

successes = 0
failures = 0
count = 0

print("Starting loop")

while (count<1000000):
    max_length = 100

    x = randint(0, max_length)
    y = randint(0, max_length - x)
    z = max_length - x - y

    count = count + 1

    if (x + y >= z and  x + z >= y and z + y >= x):
        successes = successes + 1
    else:
        failures = failures + 1

print("Successes : ", successes)
print("Failures  : " , failures)

Corrected calculation of z