JEE MAIN - Mathematics (2024 - 27th January Evening Shift - No. 4)
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 :
$$\frac{3}{256}$$
$$\frac{5}{256}$$
$$\frac{3}{715}$$
$$\frac{5}{715}$$
Explanation
$$\frac{{ }^6 \mathrm{C}_4}{{ }^{15} \mathrm{C}_4} \times \frac{{ }^9 \mathrm{C}_4}{{ }^{11} \mathrm{C}_4}=\frac{3}{715}$$
Hence option (3) is correct.
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