Why were the greek able to defeat the Persians despite being outnumbered?

The Greeks were able to defeat the Persians despite being outnumbered due to several factors, including superior military tactics and the use of the phalanx formation, which allowed for better coordination and strength in battle. Additionally, the Greek city-states had a strong sense of unity and motivation to defend their homeland, while the Persians faced logistical challenges in their expansive empire. Key victories, such as those at Marathon and Salamis, showcased Greek naval prowess and strategic ingenuity, ultimately leading to their success against a larger force.