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Some balls are placed in a large box; the balls include one ball marked "A", two balls marked "B", and so forth up to

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Some balls are placed in a large box; the balls include one ball marked "A", two balls marked "B", and so forth up to twenty-six balls marked "Z". A ball is drawn at random. Given a particular letter of the alphabet, does the probability that the ball will be marked with that letter exceed \(\dfrac{1}{30}?\)

1. The letter appears in the word "lousy"

2. The letter appears in the word "skunk"

The OA is A
Source: — Data Sufficiency |