What defense applies if an actor is induced to commit an offense by law enforcement persuasion?

Entrapment is the correct answer, as it specifically refers to a situation where law enforcement officials induce or persuade an individual to commit a crime that they would not have otherwise committed. This legal defense is rooted in the idea that the government's conduct in persuading a person to engage in illegal activity is improper and should not be condoned by the legal system.

The entrapment defense applies particularly when the prosecution cannot show that the defendant was predisposed to commit the crime before the law enforcement officials intervened. Essentially, if someone is tricked or manipulated by law enforcement to break the law, they may argue that they were entrapped.

The other options do not apply to situations of law enforcement persuasion in the same way. Duress involves a situation where a person is forced to commit a crime due to the threat of harm, but it does not involve persuasion by law enforcement. Insanity relates to a person's mental state at the time of the offense, affecting their ability to understand the nature of their actions, which is unrelated to law enforcement inducement. Intoxication refers to a person's impaired ability to make sound judgments due to alcohol or drugs, which also does not encompass the specific dynamics of persuasion by law enforcement agencies.