A box contains $24$ identical balls, of which $12$ are white and $12$ are black. The balls are drawn at random from the box one at a time with replacement. The probability that a white ball is drawn for the $4^{th}$ time on the $7^{th}$ draw is
A box contains $24$ identical balls, of which $12$ are white and $12$ are black. The balls are drawn at random from the box one at a time with replacement. The probability that a white ball is drawn for the $4^{th}$ time on the $7^{th}$ draw is
- [IIT 1994]
- A
$\frac{5}{{64}}$
- B
$\frac{{27}}{{32}}$
- C
$\frac{5}{{32}}$
- D
$\frac{1}{2}$
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