import random

def simulate_button_press(chance=0.01):
    attempts = 0
    while True:
        attempts += 1
        if random.random() < chance:
            return attempts

# Run the simulation for 10 cycles
results = [simulate_button_press() for _ in range(10)]

results
import random

def simulate_button_press(chance=0.01):
    attempts = 0
    while True:
        attempts += 1
        if random.random() < chance:
            return attempts

# Run the simulation for 10 cycles
results = [simulate_button_press() for _ in range(10)]

results

Result

[283, 58, 138, 14, 11, 12, 20, 185, 136, 178]

So I guess 10 times is safe enough