Question: The 5 - kilometer asteroid Touta - tis passed a mere 1 . 5 million kilometers from Earth in 2 0 0 4 . Suppose

The 5-kilometer asteroid Touta-tis passed a mere 1.5 million kilometers from Earth in 2004. Suppose Toutatis were destined to pass somewhere within 1.5 million kilometers of Earth. Calculate the probability that this "somewhere" would have meant that it slammed into Earth. Based on your result, do you think it is fair to call the 2004 passage a "near miss"? Explain. (Hint: You can calculate the probability by considering an imaginary dartboard of radius 1.5 million kilometers in which the bull's-eye has Earth's radius, 6378 kilometers.)

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