A bag $x$ contains $3$ white balls and $2$ black balls and another bag $y$ contains $2$ white balls and $4$ black balls. A bag and a ball out of it are picked at random. The probability that the ball is white, is

  • [IIT 1971]
  • A

    $3/5$

  • B

    $7/15$

  • C

    $1/2$

  • D

    None of these

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