MathDB

In the television program “Field of Miracles,” the presenter played the prize as follows. The player was shown three boxes, one of which contained a prize. The player pointed to one of the boxes, after which the leader opened one of the other two remaining boxes, which turned out to be empty. After this, the player could either insist on the original choice, or change it and choose the third box. In what case does his chance of winning increase? (There are three possible answers: both boxes are equal, it is better to keep the original choice, it is better to change it. Try to justify your answer.)

Problem Statement