A card is drawn from a pack of $52$ playing cards. The card is replaced and pack is shuffled. If this is done six times, then the probability that $2$ hearts, $2$ diamond and $2$ black cards are drawn is
A card is drawn from a pack of $52$ playing cards. The card is replaced and pack is shuffled. If this is done six times, then the probability that $2$ hearts, $2$ diamond and $2$ black cards are drawn is
- A
$90 \times (\frac{1}{4})^6$
- B
$\frac{45}{2} (\frac{3}{4})^4 $
- C
$90 \times (\frac{1}{2})^{10} $
- D
$(\frac{1}{2})^{10}$
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