Why was dividing lee's army such a gamble?

there is more then one answer!

his troops were in unfamiliar territory.
he had so few men compared to the union forces.
losing jackson meant a loss of important leadership.
the enemy outnumbered him many times over.
lee had no cavalry and therefore could not attack.

The correct answers are: 2) He had so few men compared to the Union forces; 4) The enemy outnumbered him many times over.

In The Battle of Chancellorsville (1861-1865), Lee's army of 60,000 men faced an Union Army that doubled them in size. Lee decided to divide his army even when that meant a higher risk in losing, given the difference in numbers between said armies. Lee's right hand, Jackson, died of pneumonia on the battlefield. Even with these many things happening to his army, Lee won the battle.

basic principles: federalism, separation of powers, checks and balances, judicial review, representative democracy, limited government, rule of law, individual rights and responsibilities, consent of the governed, majority rule, popular sovereignty, equal protection.