An urn $A$ contains $3$ white and $5$ black balls. Another urn $B$ contains $6$ white and $8$ black balls. $A$ ball is picked from $A$ at random and then transferred to $B$. Then,a ball is picked at random from $B$. The probability that it is a white ball is

  • A
    $\frac{14}{40}$
  • B
    $\frac{15}{40}$
  • C
    $\frac{16}{40}$
  • D
    $\frac{17}{40}$

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