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Q.

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

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a

$\frac{5}{256}$

b

$\frac{3}{256}$

c

$\frac{5}{715}$

d

$\frac{3}{715}$

answer is C.

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Detailed Solution

$\frac{^{6} C_{4}}{^{15} C_{4}} \times \frac{^{9} C_{4}}{^{11} C_{4}} = \frac{3}{715}$
Hence option (3) is correct.

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