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An urn contains 52 balls, numbered 1 to 52. Suppose that numbers 1 through 13 are considered "lucky." A sample of size 2 is drawn from the urn with replacement (without replacement). What is the probability that (i) both balls drawn will be "lucky," (ii) neither ball drawn will be "lucky," (iii) at least 1 of the balls drawn will be "lucky," (iv) exactly 1 of the balls drawn will be "lucky"?

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