PEMBROKE PARK, Fla. -

The George Zimmerman trial has put Florida's 'stand-your-ground' law under scrutiny.

Two state lawmakers want the state to take another look at the law.

"Sometimes, you have to go back after you see the ramifications and say let's tweak it a little to make it a little more fair," said Senator Chris Smith, D-Fort Lauderdale. 

Smith wasn't picked for Gov. Rick Scott's task force that reviewed and let the law stand, which the governor seemed to support Thursday.

"We had great people on that committee. They went around the state and listened about 'stand-your-ground' laws and they came back and said we shouldn't change it and I agree with them," said Scott.

With Stand Your Ground in 2005, Florida added to standing self-defense laws by taking away a duty to retreat. That was spelled out in the instructions to the Zimmerman jurors, which said: "He had no duty to retreat and had the right to stand his ground and meet force with force, including deadly force if he reasonably believed that was necessary to do so to prevent death or great bodily harm."

"There was a couple of them in there that wanted to find him guilty of something, and after hours and hours and hours of deliberating over the law and reading it over and over again, we decided there's just now way other place to go," Juror B37 told CNN this week.

In some 200 self-defense cases since 2005, Stand Your Ground has been a successful defense far more often when the defendant is white, according to research done by the St. Petersburg Times.

"My feeling is that before you use deadly force, you should use every effort not to hurt somebody," said Broward State Attorney Michael Satz.