Let $S$ be the sample space of the random experiment of throwing simultaneously two unbiased dice and $E_k = \{(a, b) \in S : ab = k\}$. If $p_k = P(E_k)$, then which of the following is correct?

  • A
    $p_1 < p_{10} < p_4$
  • B
    $p_2 < p_8 < p_{14}$
  • C
    $p_4 < p_8 < p_{17}$
  • D
    $p_2 < p_{16} < p_5$

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