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Question

In a game, 25 boxes are kept and Rs 10000 is kept in one of the boxes and rest all are empty. The person who chooses the box with the money gets the money, otherwise he/she will have to pay Rs 10000 to the game host. Priya, a participant, chose a box but did not open it. Then the host opened 23 boxes which were all empty. Finally he allows Priya to choose between the two boxes, one she had chosen initially and the other one. What is the probability that she wins the amount if she chooses the other box?


  1. 0.96

  2. 0.25

  3. 0.5

  4. 0.75


Solution

The correct option is A

0.96


The probability the box initially chosen by Priya had the amount = 125 = 0.04. Since the  opened boxes are empty, the probability that the other box has the amount = 1 - 0.04 = .96 

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