Billis playing a game of rock-paper-scissors withTed. The loser of the game will pay the winner$100dollars.

In the game of rock-paper-scissors, each player chooses either rock, paper, or scissors simultaneously.

A winner is decided by the following rules:

• rock beats scissors,
• scissors beats paper, and
• paper beats rock.
• If both players make the same choice, then the game is a tie.

Billis trying to decide whether to play rock or paper. Based on previous games, he knows thatTed will make his choice according to the probabilities in the table below.

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