off chance

noun
See at chance ( def 17 ).
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
off chance
 
n
1.  a slight possibility
2.  on the off chance with the hope: on the off chance of getting the job

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Example sentences
Of course there is the off chance that the design stems from a cruelly ironic intelligence.
Imagine a stranger who has forgotten his name and importunes you, on the off chance that you know it.
Tell their folks, on the off chance they don't know and can do something to stop it.
On the off chance you may not pay your federal taxes.
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