A game of chance involves rolling a standard, six-sided die. The amount of money the player wins depends on the result of the die roll:
* If the result is 1 or 2, the player wins nothing;
* If the result is 3, 4, or 5, the player wins 8 dollars;
* If the result is 6, the player wins 42 dollars.
(Note: Your answer to the question below should be rounded to three decimal places.)
If you play this game once (and it costs you nothing to play), what is the expected amount of money you will win?
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