Math  /  Data & Statistics

QuestionIt costs $10\$ 10 to play a dice game. For this game, two dice are rolled. If a sum greater than 10 is rolled, the player receives $45\$ 45. If a sum less than six is rolled, the player receives $30\$ 30. If a player rolls two odd numbers, then they receive $7\$ 7. A player can only receive one prize. Therefore, if a roll meets the description of more than one prize, the player only receives the higher prize value (not both). The expected value (to the nearest cent) of the game is $\$ \square In the long run, does the game favor the player? \square

Studdy Solution
Assess if the game favors the player:
Since the expected value is negative (\$-3.67), the game does not favor the player.
The expected value of the game is:
3.67 \boxed{-3.67}
In the long run, the game does not favor the player.

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