Wiktionary
vb. 1 To offer a bet in which one stands more to lose than the opponent; or a bet in some other way favourable to the opponent. 2 To feel certain about something.
Usage examples of "lay odds".
I'd lay odds we'll be no better off when you've talked to him than we are now.
Want to lay odds I can't make two radars look like only one halfway between where they really are?
Willing to lay odds that he had a minimum of eight letters in the unmentioned half of his namewhich would put his family low in the Taykan caste systemshe kept her face expressionless under the weight of his regard.
And since he did, and I'll lay odds that you, dear reader, know no more about Big Bulgaria and t'other thing than I did, I'll set it out as briefly as can be.
But I'll lay odds your space is near the kifyou just listen to me.
But I'll lay odds your space is near the kif-you just listen to me.