Multiple choice

An $um$ contains $2$ black black balls. A ball is drawn at random. If is white, it is not replaced into $um$. Otherwise it is replaced along with another ball of the same color. The process is repeated, then the probability that the third ball drawn is black, is given by

  1. $\dfrac {11}{30}$
  2. $\dfrac {23}{30}$
  3. $\dfrac {26}{30}$
  4. $\dfrac {1}{10}$
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