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In: Statistics and Probability

Consider the following experiment. Pick a random integer from 1 to 10^12 . (a) What is...

Consider the following experiment. Pick a random integer from 1 to 10^12 .

(a) What is the probability that it is either a perfect square (1, 4, 9, 16, …) or a perfect cube (1, 8, 27, 64,…)?

(b) What is the probability that it is either a perfect fourth power (1, 16, 81, 256, …) or a perfect sixth power (1, 64, 729, 4096,…)?

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