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"coin flip" is correct and usable in written English.
You can use it as a noun to refer to a situation where an even-odd choice is made by flipping a coin, such as when a decision needs to be made between two paths of action. For example, "We decided to leave it up to a coin flip to see which of us had to do the dishes."
Dictionary
coin flip
noun
Synonym of coin toss
Exact(55)
The coin flip — what happens to that?
That's what a coin flip is for.
"I don't think it's a coin flip.
So they settled on the coin flip.
But '92 ain't in the coin flip".
And we need a coin flip of some sort.
I didn't want to count on the coin flip.
The crux of the rule is to make overtime outcomes less dependent on the coin flip.
In fact, it's just random statistical noise, like having a coin flip come up tails repeatedly.
I'm confident they'll provide significantly better advice than the almighty coin flip.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com