Alex, Bill, and Chen each, in turn, toss a balanced coin. The first one to throw a

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Alex, Bill, and Chen each, in turn, toss a balanced coin. The first one to throw a head wins.

a. What are their respective chances of winning if each tosses only one time?

b. What are their respective chances of winning if they continue, given a maximum of two tosses each?

FYI Draw a tree diagram.

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