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Related to at odds: odds and ends, pay over the odds
In conflict. They are at odds over the best way to lead the committee.
at odds (with someone)and at odds over something
in opposition to someone; at loggerheads (with someone). Mary is always at odds with her father about how late she can stay out. John and his father are always at odds over what to watch on TV.
In disagreement, opposed. For example, It is only natural for the young and old to be at odds over money matters. This idiom uses odds in the sense of "a condition of being unequal or different," and transfers it to a difference of opinion, or quarrel. [Late 1500s]
In disagreement; in conflict: "The artist and the self-critic ... are, with a few felicitous exceptions, forever at odds" (Joyce Carol Oates).