The probability of a new neutral mutation becoming fixed in a population depends on the population size. A neutral mutation is one that does not confer any survival or reproductive advantage or disadvantage.
For a diploid organism, the probability of a single new neutral mutation reaching fixation is given by the formula:
$ P_{fixation} = \frac{1}{2N} $
Where:
In this question:
Substitute the value of $N$ into the formula:
$ P_{fixation} = \frac{1}{2 \times 100} $
$ P_{fixation} = \frac{1}{200} $
$ P_{fixation} = 0.005 $
The probability of fixation for the new neutral mutation is 0.005. This value is often rounded to three decimal places as requested.