An experiment has $10$ equally likely outcomes. Let $\mathrm{A}$ and $\mathrm{B}$ be two non-empty events of the experiment. If $\mathrm{A}$ consists of $4$ outcomes, the number of outcomes that $B$ must have so that $A$ and $B$ are independent, is

  • [IIT 2008]
  • A

    $2,4$ or $8$

  • B

    $3,6$ or $9$

  • C

     $4$ or $8$

  • D

    $5$ or $10$

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