def simulate_umpire_decision(pitch, shot, impact, trajectory_hint):
    if pitch.lower() == "outside leg":
        return {"decision": "NOT OUT", "reason": "Ball pitched outside leg stump"}

    if impact.lower() == "outside off" and shot.lower() == "yes":
        return {"decision": "NOT OUT", "reason": "Impact outside off and shot offered"}

    if "missing" in trajectory_hint.lower():
        return {"decision": "NOT OUT", "reason": "Ball not likely to hit stumps"}

    return {"decision": "OUT", "reason": "All conditions favor LBW"}