Problem $6$

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$(1$ point$)$ Consider the following game of chance based on the spinner below:

Each spin costs $$4.$ If the spinner lands on A the player wins a dime, if the spinner stops on $C$ the player wins $$9$ otherwise the player wins nothing. Calculate the players expected winnings. Express your answer to at least three decimal places in dollar form. $.$

Answer: $$?$

A$=4/13$

B$=4/13$

C$=1/13$

D$=4/13$