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

    $\frac{1}{2}$

Similar Questions

If a party of $n$ persons sit at a round table, then the odds against two specified individuals sitting next to each other are

A bag has $13$ red, $14$ green and $15$ black balls. The probability of getting exactly $2$ blacks on pulling out $4$ balls is ${P_1}$. Now the number of each colour ball is doubled and $8$ balls are pulled out. The probability of getting exactly $4$ blacks is ${P_2}.$ Then

Word ‘$UNIVERSITY$’ is arranged randomly. Then the probability that both ‘$I$’ does not come together, is

Mr. A has six children and atleast one child is a girl, then probability that Mr. A has $3$ boys and $3$ girls, is 

Suppose $n \ge 3$ persons are sitting in a row. Two of them are selected at random. The probability that they are not together is