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 6 dollars; * If the result is 6, the player wins 18 dollars. NOTE: Your answer below should be entered as a number. Do not round during intermediate steps. If you round your answer, make sure you do so correctly and keep at least three decimal places. If you play this game once (and it costs you nothing to play), what is the EXPECTED VALUE of the amount of money you will win?  dollars.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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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 6 dollars;

* If the result is 6, the player wins 18 dollars.

NOTE: Your answer below should be entered as a number. Do not round during intermediate steps. If you round your answer, make sure you do so correctly and keep at least three decimal places.

If you play this game once (and it costs you nothing to play), what is the EXPECTED VALUE of the amount of money you will win?

 dollars.

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