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Two-Dice Game

APSTAT-RT4TZP

You play a game in which you win $\$10$ if a sum of $7$ results from rolling two balanced dice. You win $\$5$ if you roll doubles. Otherwise, you win nothing.

In order for the game to be fair, how much should you be charged to play the game?

A

$\$0$

B

$\$0.83$

C

$\$2.50$

D

$\$5$

E

$\$10$