Question: A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins one-third, and if tails,

A player throws a fair die and simultaneously flips a fair coin.

A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins one-third, and if tails, then she wins one-half of the value that appears on the die. Determine her expected winnings. The expected winnings are (Type an integer or a simplified fraction.)

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