How to say that something is (not) random

I want to compare two things, one of which is random and the other is not, in favor of the latter. I'd like to do it in a more sophisticated way than simply using the word "random".

Like, for example,

In this case, your pay will not depend on the roll of the dice.

But Google Ngrams doesn't find a single occurrence of "depend on the roll of the dice", so I guess there's something wrong with this particular phrase. What would be a better substitute?

There are many metaphoric phrases to indicate randomness, several of which relate to gaming

toss of a coin
flip of a coin
throw of a dart
spin of the wheel
luck of the draw
cut of the cards
your guess is as good as mine

Some expressing lack of control suggest futility

chaff in (on) the wind
a drop in the ocean
like looking for a needle in a haystack
snowball's chance in hell
a face in the crowd

Phrases suggesting a causation, rather than lack thereof, tend toward other images often based on scientific or mechanistic processes or human industry

laser-like precision
as sure as night follows day
in lock-step
you reap what you sow
you get what you pay for
what goes around comes around
you can bank on it
like clockwork
"If you build it, he will come" (reference to the movie Field of Dreams based on the novel Shoeless Joe)

A few dependability references do use gambling metaphors

bet your bottom dollar
a sure thing
ace in the hole (implying you have a hidden advantage)
a safe bet

Some are based on questions, occasionally scatalogical

Is the Pope Catholic?
Does a bear shit in the woods?
Does a tiger have stripes?
Will the sun rise tomorrow?

I guess the precise antonym to random is deterministic but you may prefer to go for some less scientific terms: predictable, systematic, methodical.

As for other words for Random, Thesaurus suggests some nice alternatives on top of simple antonyms of the above: arbitrary, accidental, irregular, chance