Strictly speaking: P(A)=0, which means that A is an impossible event, or? P(A)= 1, indicating that A is an inevitable event. Impossible events and inevitable events lose their uncertainty, so they are not random events in essence. But for the convenience of research, we still regard them as random events, or as two extreme cases of random events.
So the question says, "If the probability of random event A is P(A), then 0≤P(A)≤ 1?" ? This sentence is still right! But we should understand the agreement and the meaning. Can this eliminate objections and entanglements?