Why do you think that even though that they were out numbered and out supplied the colonial army was able to win the war?

Because they fought on their own turf. And thereby understand the terrain better.

Explanation:

Even though that they were outnumbered and out supplied the colonial army was able to win the war because "they fought on their own turf. And thereby understand the terrain better."

This is evident in the fact that, unlike the British, the colonial Army understands the nature or vegetation of the battleground, which helps them in carrying out series of guerilla warfare on the British army. Also, they were closer to their supplies. They were also ready to fight for the cause and achieve victory.