Yeah, luck works always in every situation, and it will give you what is best for you. In cricket, luck is the most important factor that can change the whole situation. A person can sit all day long and analyze the stats of the team and give his prediction, but when the match starts, luck can change the whole prediction. One big hit can flip the condition, just like you said in the West Indies match, four sixes changed it. It may work some times and sometimes not, but it exists, and no one can say no to it.
And is that one big shot that can change everything not the result of hard work, countless training sessions and things like that? I am not an expert in cricket, but I think it is similar to other team sports where the skill of the players is exactly what determines the result of the team. Can we really say they just got lucky? I do not think so. I believe the stronger team will always win, the one that trained better, worked out their strategies better, practiced set pieces and so on.