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Two people are playing with a pair of dies. Instead of numbers, the dies have different colors on their sides. The first person wins if the same color appears on both the dies and the second person wins if the colors are different. The odds of their winning are equal. If the first dice has 5 red sides and 1 blue side, find the color(s) on the second one.

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Tom wants to catch a hare. He is standing 250 yards south from the hare. The hare starts moving due east.Tom, instead of moving in the northeast direction,moves in such a way that at every instant, he is goingtowards the hare. If speed of tom is one and one-third times that of the hare, find the distance each traveled before he caught the hare.
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