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JEE Math Practice Question

In a game, a man wins Rs. 100 if he gets 5 or 6 on a throw of a fair die and loses Rs. 50 for getting any other number on the die. If he decides to throw the die either till he gets a five or a six or to a maximum of three throws, then his expected gain/loss (in rupees) is :

  1. A.$${{400} \over 3}$$ loss
  2. B.0
  3. C.$${{400} \over 9}$$ loss
  4. D.$${{400} \over 3}$$ gain

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