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14.Probability
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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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