White noise has a uniformly distributed power spectrum.

Pink noise has a spectrum which smoothly decreases in power with
increasing frequency. That is, power is concentrated at the low
frequency (or red) end of the spectrum.

In a narrow band of audio frequencies they both sound the same. There
is no detectable difference between the high and low frequency ends of
the narrow band.

The two terms are usually applied to very wideband communications
systems, ie., from VLF to UHF.

Purely randomly generated noise is described as white. Its
statistical properties are defined as having a Gaussian amplitude
distribution. It is by far the most common natural source of noise.

See Google for the Gaussian Distribution or Function.

It is simple enough : Exp( - x*x ) ).

It occurs throughout Science, Engineering, Medicine, Economics,
Statistics and in all facets of human activities, life on this Planet
and dead materials.

Even politics. It may be said that Blair and Bush lie in the extreme
tail of the Gaussian Distribution. Which of the two tails I have been
unable to fathom.
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Reg.