14.Probability
medium

An urn contains $6$ white and $9$ black balls. Two successive draws of $4$ balls are made without replacement. The probability, that the first draw gives all white balls and the second draw gives all black balls, is:

A

 $\frac{5}{256}$

B

 $\frac{5}{715}$

C

 $\frac{3}{715}$

D

 $\frac{3}{256}$

(JEE MAIN-2024)

Solution

$\frac{{ }^6 \mathrm{C}_4}{{ }^{15} \mathrm{C}_4} \times \frac{{ }^9 \mathrm{C}_4}{{ }^{11} \mathrm{C}_4}=\frac{3}{715}$

Hence option$(3)$ is correct.

Standard 11
Mathematics

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