$A$ poker hand consists of $5$ cards drawn at random from a well-shuffled pack of $52$ cards. The probability that a poker hand consists of a pair and a triple of equal face values (for example, $2$ sevens and $3$ kings or $2$ aces and $3$ queens, etc.) is:

  • A
    $\frac{6}{4165}$
  • B
    $\frac{23}{4165}$
  • C
    $\frac{1797}{4165}$
  • D
    $\frac{1}{4165}$

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