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A biased die has six faces numbered as $k=1,2,3,4,5$, and $6$. On rolling the die, the probability of the number k appearing is proportional to $k^{2}$. What is the probability that an even number will appear on rolling the die?

  1. $\frac{35}{91}$
  2. $\frac{56}{91}$
  3. $\frac{12}{21}$
  4. $\frac{9}{21}$

     

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