Test: Common Core: High School - Statistics and Probability

1.

Suppose that three construction workers—Bob, Tim, and Al—are completing the frames for three interior walls of a new home. Each wall is of equal size and requires six two inch by four inch boards to complete. There are seventeen boards in a pile and new ones will not be delivered until after lunch. Bob selects his lumber first, then Tim, and Al is the last person to get lumber for the beginning of the day. Assume that all boards are identical and one is not favored over another.

Given that each worker uses at least five boards, what is the probability that Bob will finish his wall project before lunchtime?

Cannot be determined 

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