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Longman Dictionary of Contemporary English
off-chance
noun
EXAMPLES FROM CORPUS
▪ I just came on the off-chance.
▪ I rang Otto on the off-chance.
▪ I walked over to the wardrobe and opened the door just on the off-chance.
▪ It was a long way to drive on the off-chance that something would come of it.
▪ The card is too expensive on the off-chance I could get in an away game during the season.
▪ There was no time to contact him, so I came on the off-chance.
Douglas Harper's Etymology Dictionary
off-chance

1861, from off (adv.) + chance (n.).

Wiktionary
off-chance

n. (alternative spelling of off chance English)

Usage examples of "off-chance".

Nursemaiding all these volunteers and reservists at the back of beyond on the off-chance that the Bethlarii might spring a sneak attack across the northern border while the army was looking for them at Whendrak.

Street on the off-chance the cutout who serviced SASHA called again before she moved on to another apartment, at which point they would tap the new number.

He makes plain he felt the survey of that area was only an off-chance, but since a free aerial survey had been presented to us, and since Photo-Geology felt there had to be some reason for the different vegetation, the expense could be justified.

As a last-moment thought, he splashed his face with after-shave lotion on the off-chance that a crew member might somehow smell the supposedly undetectable vodka.

Recommend barium enema and X rays for internal bleeding on the off-chance, yet no recent accidents, father says.

That man deliberately committed suicide on the off-chance he'd attract the attention of another man who had given up.

Then, after what seemed aneterniiy, he finally negotiated Ihe Fiat off the ferry, around some makeshift Malls still selling tourist junk on the off-chance of catching some gullible holidaymaker who had left home and hearth to spend the festive season here on the undeniably beautiful shambles that was Ischia, the peaceful island that had known the crack and blast of history, and seen much violent death as well as happiness in its time.

Of course, it might not work at all, my little master plan, make me look a bloody lemon, especially in front of poor old Pepperidge, you mean you blew the safe-house just on the fucking off-chance, so forth, every right to be pissed off about it, yes, but it might not come to that, so let's take another little stroll, shall we, it's such a lovely night.

In fact, she wasn't going to do anything until she was certain Kerel would be there to protect her ass, just on the off-chance that she needed his help.