against all the odds Definition

odds
plural noun

1. The chance or probability, expressed as a ratio, that something will or will not happen.

Example: The odds are 10‐1 against
2. The difference, expressed as a ratio, between the amount placed as a bet and the money which might be won.

Example: offer odds of 2 to 1
3. An advantage that is thought to exist, especially in favour of one competitor over another.

Example: The odds are in her favour
4. Likelihood.

Example: The odds are he'll be late again
Thesaurus: probability, likelihood, chance.
5. An equalizing allowance given to a weaker side or competitor.

Idiom: against all the odds (against all odds)

In spite of great difficulty or disadvantage.

Idiom: at odds

In disagreement or dispute; on bad terms.
Thesaurus: in conflict, opposed, in dispute, at variance, at loggerheads, quarreling, feuding, at one another's throats, at outs (slang), with daggers drawn.

Idiom: give odds (lay odds)

To offer a bet with favourable odds.

Idiom: make no odds

To make no significant difference.

Idiom: over the odds

More than is normal, required or expected, etc.

Idiom: shout the odds

To talk too much or too loudly.

To boast.

Idiom: take odds

To accept a bet.

To offer a bet with unfavourable odds.

Idiom: What's the odds?

colloq
What difference does it make?; What does it matter?

Etymology: 16c, originally meaning ‘unequal things'.