A computer program consists of $1000$ lines of code. For the program to work properly, all $1000$ lines of code must be correct. Assume that the probability of any line of code being incorrect is $0\mathrm{.}0001$ and that each line being correct or incorrect is independent of other lines of code. What is the probability that the program will fail to work properly? Write down how you calculate the answer in addition to the numerical answer.