A bowl is filled with consecutively numbered tiles from \(1\) to \(x.\) Joe pulls out a tile and uses it to construct

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A bowl is filled with consecutively numbered tiles from \(1\) to \(x.\) Joe pulls out a tile and uses it to construct Sequence \(Q,\) which consists of \(10\) consecutive integers starting with the number drawn. If Joe then selects one number from Sequence \(Q,\) what is the probability that the selected number is a multiple of \(3?\)

(1) The last number in Sequence \(Q\) is a prime number that is less than \(20.\)
(2) \(x \le 10\)

Answer: A

Source: Princeton Review
Source: — Data Sufficiency |