Answer
a) 0.0001
b)0.9999
c)0.999
Work Step by Step
a) Using the fundamental counting rule the number of outcomes: $10^3=1000.$
$probability=\frac{number \ of \ good \ outcomes}{number\ of\ all\ outcomes}$, hence $P=\frac{1}{1000}=0.0001.$
b)By using the complement rule and the result from a), P(no success)=1-P(success)=1-0.0001=0.9999.
c) Using the multiplication rule and the result from b): $P(no \ success)^{10}=0.9999^{10}=0.999$