Domen
Misico dux Vandalorum
Let's begin with two examples of amazing victorious cavalry charges against the odds:
1) battle of Gembloux, 1578 - some 1,200 Spanish lanza (cavalry lancers) under Alexander Farnese defeat a Dutch army of 20,000 men. Ducth losses are over 6,000 dead, compared to just 12 killed Spanish cavalrymen, as well as some wounded ones (also many killed and wounded horses).
Odds in the battle of Gembloux on 31.01.1578 - 1 versus 16,7 against the victor.
Engraving "Batalla de Gembloux 1578" by Frans Hogenberg:
2) 07.09.1621 - on this day, which was just one day of 38 days long battle of Khotyn (Poland-Lithuania vs the Ottoman Empire) took place a charge in which 600 Polish-Lithuanian hussars defeated and routed some 10,000 Turkish soldiers. Around 1,200 Turkish soldiers were killed as the result of that charge.
Odds in the charge at Khotyn on 07.09.1621 - 1 versus 16,7 against the victor.
Here is how that charge was described by Armenian translator in Polish-Lithuanian service, Auxent:
Source: account of Auxent, Armenian participant of the battle of Khotyn, who worked as Polish-Turkish translator.
According to Auxent, 300 Polish hussars defeated 15 000 Turks. In reality, in that charge participated several units of hussars - in total 600 men - and they defeated (routed) around 10 000 Turks, killing perhaps around 1,200 of them in the process*, as Auxent writes.
*Including also casualties inflicted by escaping Turks who trampled other escaping Turks.
Auxent's account - Polish-language version:
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Any other examples of military victories against incredible odds? Any historical period and region will be appreciated.
1) battle of Gembloux, 1578 - some 1,200 Spanish lanza (cavalry lancers) under Alexander Farnese defeat a Dutch army of 20,000 men. Ducth losses are over 6,000 dead, compared to just 12 killed Spanish cavalrymen, as well as some wounded ones (also many killed and wounded horses).
Odds in the battle of Gembloux on 31.01.1578 - 1 versus 16,7 against the victor.
Engraving "Batalla de Gembloux 1578" by Frans Hogenberg:

2) 07.09.1621 - on this day, which was just one day of 38 days long battle of Khotyn (Poland-Lithuania vs the Ottoman Empire) took place a charge in which 600 Polish-Lithuanian hussars defeated and routed some 10,000 Turkish soldiers. Around 1,200 Turkish soldiers were killed as the result of that charge.
Odds in the charge at Khotyn on 07.09.1621 - 1 versus 16,7 against the victor.
Here is how that charge was described by Armenian translator in Polish-Lithuanian service, Auxent:
Auxent said:"(...) The Turks prepared their battle array, (...) 15 000 men once again deployed in the field, and with great power and ferocity started to advance straight towards the [first] gate of the Polish camp, where field hetman [Stanisław Lubomirski] stationed, because there were two gates from the Turkish side there. Near the second gate stood hetman [Jan Karol Chodkiewicz]. Behind the gate of hetman [Chodkiewicz], performing daily guard duty were 3 units [of hussars], which did not expect anything. But noticing, that the infidels were advancing straight towards the gate of field hetman, hetman [Chodkiewicz] immediately rode against them on horseback. Then those 3 units of hussars, noticing the great zeal of hetman [Chodkiewicz], did not allow him to move alone to combat. But before this happened, castellan of Polotsk and Prokop Sieniawski attacked the enemy with their units, as did the hetman's personal unit, which stood there in reserve. Calling for God's help, 300 men [hussars] charged into the fray in such a way, that not a single of their lances remained empty, because with strong hands they fought against the Turks, immediately attacking the enemy flank, rather than striking them frontally. And each of them eliminated 2-3 enemies, because so huge was the Turkish crowd there. Later hussars took their swords and killed as many as they wanted. When the infidels realized the scale of the slaughter, they started to run for their lifes, trampling each other in the process. And our men were chasing them up to the very Turkish camp, beating and killing many in the process. (...) Among the Turks more or less 1200 were killed. (...)"
Source: account of Auxent, Armenian participant of the battle of Khotyn, who worked as Polish-Turkish translator.
According to Auxent, 300 Polish hussars defeated 15 000 Turks. In reality, in that charge participated several units of hussars - in total 600 men - and they defeated (routed) around 10 000 Turks, killing perhaps around 1,200 of them in the process*, as Auxent writes.
*Including also casualties inflicted by escaping Turks who trampled other escaping Turks.
Auxent's account - Polish-language version:

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Any other examples of military victories against incredible odds? Any historical period and region will be appreciated.