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Mrs. Lui has made a chicken and a strawberry pie for her husband andher daughter. Eating more than half of it will give indigestion to anyone.

While she is away shopping, her husband helps himself to a piece of thepie. Then, the daughter comes and has a piece of what is left. When

Mrs. Lui returns, she finds that more than a half of the pie is gone.Assuming that the size of each of the two pieces eaten is random and

uniformly distributed over what is currently available, what is theprobability that neither Mr. Lui and his daughter will get indigestion?