Answer
The 10th player will choose the color of the hat of the person in front of him. The 9th player will then choose that color. He will also say the answer loudly if it's the same color as the person in front of him, or softly if it's different, thus giving the next player the correct answer also. They are guaranteed 9 correct answers, and are 50/50 on the 10th.
(Still working on #2)
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