The distribution of the product 
of 
uniform variates on the interval ![[0,1]](http://mathworld.wolfram.com/images/equations/UniformProductDistribution/Inline3.svg)
can be found directly as
 |  |  | (1) |
 |  |  | (2) |
where 
is a delta function. The distributions are plotted above for 
(red), 
(yellow), and so on.
Uniform Product Distribution
See also
Uniform Difference Distribution, Uniform Distribution, Uniform Ratio Distribution, Uniform Sum DistributionExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Uniform Product Distribution." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/UniformProductDistribution.html