JEE Mains · Maths · STD 11 - 14. probability
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 \(\frac{3}{256}\)
Answer & Solution
Correct Answer
(C) \(\frac{3}{715}\)
Step-by-step Solution
Detailed 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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