randomness in photoelectrons counting in a photocathode of PMT

the photoelectrons ejected from the photocathode of a PMT, are said to be of a random count. i.e. for a single given photon hitting the photocathode, the ejection of photoelectrons are sometimes 10 photoelectrons, sometimes 7 ... or sometimes there are no photoelectrons ejected... that finally land up at the dynode successfully.

my question is : why such randomness..?
and what is the equation (probability or statistical variations bound) that governs such statistical processes...?

Thank u in advance.

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