Imagine you're on a game show. You're presented with three identical, closed bowls. The host tells you one bowl contains a gold coin, and the other two are empty. You pick one bowl, but don't open it yet. After you make your selection, the host (who knows where the coin is) deliberately opens one of the *other* two bowls, revealing it's empty. Now, the host asks if you want to switch your initial choice to the other unopened bowl. Would you switch, stick with your original choice, or does it not matter? Please explain your decision.

你正在参加一个游戏节目。你面前有三个完全相同的碗，它们被扣着放置。主持人告诉你，其中一个碗里藏着一枚金币，而另外两个碗是空的。你被要求随机选择一个碗，但暂时不要打开它。在你做出选择后，主持人（他知道金币在哪里）故意打开了你没有选择的两个碗中的一个，并向你展示它是空的。现在，主持人问你，是否愿意改变你最初选择的碗，换到另一个未被打开的碗。你会选择换，不换，还是无所谓？请解释你的决定。