1824.sagews

# This is only the path for 3 fails
(10^-7)^3

\newcommand{\Bold}[1]{\mathbf{#1}}\frac{1}{1000000000000000000000}

# The probability that the system does not fail
(1-10^-7)^3

\newcommand{\Bold}[1]{\mathbf{#1}}\frac{999999700000029999999}{1000000000000000000000}

# The probability that the system fails at least once
1 - (1-10^-7)^3

\newcommand{\Bold}[1]{\mathbf{#1}}\frac{299999970000001}{1000000000000000000000}