In a game, a man wins Rs. 100 if he gets 5 of 6 on a throw of a fair die and loses Rs. 50 for ge...

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In a game, a man wins Rs. 100 if he gets 5 of 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
\( P \) six or to a maxir.aum of three throws, then his expected gain/loss (in rupees) is :
(1) \( \frac{400}{3} \) gain
(2) \( \frac{400}{3} \) loss
(3) 0
(4) \( \frac{400}{9} \) loss
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