Strange python behaviour random

This small script generates a random float beween 0 and 1 and then if its less than "0.000111111111111" it will print the message "found it"

import random

value = 0.4 / 3600
print value

while True:
    rand = random.random()

    print "RAND IS: " + str(rand) + "----- VAL IS " + str(value)
    if rand < value:
        print "found it"

So seemingly the script runs and it never actually "finds it", however when I comment out the print statement before the if statement the command line is FILLED with "found it" even though the rand value isn't less than value. What the hell?