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closed as a duplicate of: ISI2017-MMA-17

Suppose that $X$ is chosen uniformly from $\{1, 2, \dots , 100\}$ and given $X=x, \: Y$ is chosen uniformly from $\{1, 2, \dots , x\}$. Then $P(Y =30)=$

  1. $\frac{1}{100}$
  2. $\frac{1}{100} \times (\frac{1}{30}+ \dots + \frac{1}{100})$
  3. $\frac{1}{30}$
  4. $\frac{1}{100} \times (\frac{1}{1}+ \dots +\frac{1}{30})$
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