In a game a fair die is rolled once. The player receives ₹30 if a 6 appears and pays ₹6 if any other number appears. What is the expected gain of the player, in ₹?

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Accepted Answer

0. Expected gain = (1/6)(30) + (5/6)(−6) = 5 − 5 = 0. The game is fair: in the long run the player neither gains nor loses.

In a game a fair die is rolled once. The player receives ₹30 if a 6 appears and pays ₹6 if any other number appears. What is the expected gain of the player, in ₹?

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