Final answer:
If an agreement with an undercover police officer will qualify for a conspiracy charge in the given scenario is subjective and depends on the specific circumstances and actions of the co-conspiratorial criminals.
Step-by-step explanation:
According to the given scenario, the police officers are offering a deal to the co-conspiratorial criminals to confess and inform on their accomplice in exchange for a lighter sentence. This practice is known as plea bargaining, which is a common negotiation between the prosecutor and the defendant in criminal cases.
In this case, if both prisoners remain silent, the evidence against them is not especially strong, and they will end up with only two years in jail each. Therefore, while an agreement with an undercover police officer may qualify for a conspiracy charge, the specific circumstances and actions would determine the outcome.