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# Probability of First Win: Dice

APSTAT-P1YB4F

Suppose two fair dice are rolled.

If both dice show the same number, the player wins $\$10$. If they do not, the player loses$\$2$.

If a player plays this game once every day for one week, what’s the probability she gets her first win by the seventh day of the week?

A

$0.056$

B

$0.721$

C

$0.279$

D

$0.1666$

E

$0.104$