Answer
$\frac{1}{10^{8}}$
Work Step by Step
We know that $probability=\frac{\text{number of favourable outcomes}}{\text{number of all outcomes}}$
The number of good outcomes is $100,000,000=10^{8}$
The number of all outcomes is $10^{16}$
Hence the probability here is: $\frac{10^{8}}{10^{16}}=\frac{1}{10^{8}}$