I decided to share this probability paradox and have your say in which choice you should make.
"You are in a game show where there are 3 doors and you have to choose one of the doors. You are trying to win the million dollar prize which is behind one door. The other 2 doors have nothing in them so you want to make sure that you can win.
Let's call these doors \(D_1, D_2\) and \(D_3\). You pick out \(D_1\) and tell the host of the game show. The host, who knows which door has the million dollars shows you \(D_3\), which has nothing, and asks you if you want to change your mind."
How would you reply and give reasons.