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6 January, 02:36

The books in a private library are classified as fiction and nonfiction. There are 400 books in the library. There are 40 more fiction books than nonfiction books. Audrey randomly picks a book. A few minutes later, Ryan randomly picks one of the remaining books. What is the probability that both pick nonfiction books?

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  1. 6 January, 02:41
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    We must first solve the number of fiction and nonfiction books

    if x is the number of fiction books and

    y is the number of nonfinction books

    Then,

    x + y = 400

    x = y + 40

    Solving the system of equations:

    x = 220

    y = 180

    Therefore, the probability that Audrey and Ryan will get both nonfiction books is

    P = 180/400 + 179/399

    P = 0.8986
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