You are in a room with 100,000 boxes. Inside each of those boxes, there is a $100 bill, except for one box, which contains an unavoidable death trap triggered when the box opens. The moment you leave the room all the boxes will be incinerated. How many boxes would you open before leaving the room, knowing that there's a chance you might die with every box you open?

You are in a room with 100,000 boxes. Inside each of those boxes, there is a 100$ bill, except for one box, which contains an unavoidable death trap triggered when the box opens. The moment you leave the room all the boxes will be incinerated. How many boxes would you open before leaving the room, knowing that there's a chance you might die with every box you open?