Consider an experiment of tossing a coin repeatedly until the outcomes of two consecutive tosses are same. If the probability of a random toss resulting in head is $\frac{1}{3}$, then the probability that the experiment stops with head is.

  • [IIT 2023]
  • A

    $\frac{1}{3}$

  • B

    $\frac{5}{21}$

  • C

    $\frac{4}{21}$

  • D

    $\frac{2}{7}$

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  • [IIT 1998]

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