Thread: Problem 40
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Old November 11th, 2007, 01:29 AM
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Quote:
Originally Posted by ThePerfectHacker View Post
1)This problem is for the younger kids give them a chance, please. Let A,B be randomly chosen from \{ 1,2,...,2007 \} (they can be the same). What is the probability that it is possible to find two real numbers that have their product equal to A and their sum equal to B. (By the way, "real", means non-imaginary).
1.) (\frac{1}{2007} + \frac{1}{2007}) \times (\frac{1}{2007} + \frac{1}{2007})

= \frac{4}{4028049}

= \frac{1}{1007012,25}
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