Was Waterloo against the odds? Weren't the numbers massively against Napoleon?

I can think of two iconic victories of the French over the English:

Relief of Orleans (8.5.1429)[1]:

After Henry V's death in 1422, The English under Henry's brother John of Lancaster, Duke of Bedford kept a strong foothold in France - but France was not conquered. Under the terms of the treaty of Poitiers, John claimed that upon the death of Charles VI, the French crown should pass to his nephew Henry. This claim was not recognized by the houses of Armagnac, Orléans, and Anjou, who wanted the crown for Charles VI's son Charles, the Dauphin. So, the Hundred Years war simmered on, with initial victories by the English at Cravant (1423) and Verneuil (1424). In 1428, the English advanced into the Loire valley in order to capture Orléans, a key position to the south of France. The siege began in October of that year.

It was at this time that a young girl called Jeanne Darc (or d'Arc) convinced the fort commander at Vaucouleurs that she was on a Divine mission and to grant her an escort to meet Charles in Chinon. Having arrived there, she managed to impress the Dauphin, who had an armour made for her and allowed her to join an army under the command of the duke of Alençon on its mission: reach the besieged Orléans. This she managed to do and entered the city on April 29th, 1429.

She then took part in the recapturing of several garrisons around the city, starting on May 4th 1429. On the 7th, during the fight to capture the English-held fortress Les Tourelles, situated on the Loire's south bank and facing Orléans, Jeanne was felled by an arrow into her shoulder. When her banner was carried forward again, the French troops took heart, re-initiated the attack and finally took the fort. Jeanne rode back into the city in triumph.

The English were forced to leave Orléans and retreat West to Meung. and were eventually driven out of the Loire valley at the battle of Patay.

What followed were the Campaign to Reims where Charles was crowned, a truce with England that was swiftly broken, Jeanne's capture at Compiègne, trial and death at the stake, a nullification trial in 1456, her beatification in 1909 and finally canonisation in 1920.

Siege of Toulon (18.12.1793)[2]:

Another, though much less iconic battle was the Siege of Toulon. In late August 1793, after the massacre of royalists by Jacobnis in Marseille, the royalist citizens of Toulon asked for protection by the English and Spanish coalition fleet. English Vice Admiral Lord Hood and Spanish Admiral Juan de Lángara took control the French naval base, arsenal and fleet of French ships anchored in the harbour.

A revolutionary army immediately was immediately sent to lay siege. It was headed by General Carteaux, a former painter and political appointee. Carteaux failed to heed the advice of his officers, notably an artillery captain called Napoleon Bonaparte, and ordered doomed assaults on the city. He was eventually replaced by General Doppet, yet another political appointee.

Finally, Paris sent a professional soldier, General Jaques Dugommier. He was wise enough to enact Bonaparte's plan: to take Fort Mulgrave at the entrance to the bay and from there to bombard and conquer the remaining enemy fortifications and finally the ships in harbour. The plan worked, the English-Spanish fleet had to give up the port, carrying as many royalists with them as possible. In the aftermath, the remaining royalists were massacred and Bonaparte returned to Paris as the hero of Toulon, where he was promoted to Brigadier.

[1] Burne, Alfred Higgins: The Agincourt War: Military History of the Latter Part of the Hundred Years War from 1369-1453. London, Eyre & Spottiswoode 1956

[2] Rose, John Holland: Lord Hood and the Defence of Toulon. Cambridge, University Press 1922