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There are three boxes with two empty and one with some gift.
- shashi.nitw November 16, 2009So considering above,
Selection of one empty box is 2/3 out of 3 boxes.
1. So suppose person selected the gift packed box out of three (which is only one out of three, 1/3 probability) and then host opens the empty box. In this case, if person choose the other box, he/she will get empty box.
2. Now, probability of choosing empty box by person is 2/3 and if suppose person choose an empty box and host opens another empty box, then switching to last unopened box will be gift packed.
So to conclude switching of box will always give person the maximum probability to win i.e. 2/3. There will be two cases, in which person can choose empty box, and switching will help him to get gift packed box and on the other hand, there is only one possibility to choose gift packed box and only one case, which could upset the person