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: (a) $\frac{400}{3}$ gain (b) $\frac{400}{9}$ loss (c) 0 (d) $\frac{400}{3}$ loss

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