To bet or speculate confidently, from a point of advantage: It may not seem so, but I'd give odds those people are faking it (1591+)
I'll back myself against anything but a white bear, and give odds.
I don't know where you were born, Tich, but I'll give odds you'll die in England.
I'd give odds that within a fortnight Hartman will be far gone.
His serenity and good nature are restored, and he is ready to give odds to any detective living.