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we offer you the following game: you roll a standard 6-sided dice 3 times. If you roll face 6 3 times, you win $ 1000;

we offer you the following game: you roll a standard 6-sided dice 3 times. If you roll face 6 3 times, you win $ 1000; if you get something else, you lose $ 1. Let X be your total win after playing this game 15 times. Determine the expectation of X.

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