JEE Mains · Maths · STD 11 - 14. probability
A bag contains \(6\) white and \(4\) black balls. A die is rolled once and the number of balls equal to the number obtained on the die are drawn from the bag at random. The probability that all the balls drawn are white is:
- A \(\frac{1}{4}\)
- B \(\frac{9}{50}\)
- C \(\frac{1}{5}\)
- D \(\frac{11}{50}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{5}\)
Step-by-step Solution
Detailed explanation
\(\frac{1}{6} \times\left[\frac{{ }^6 C _1}{{ }^{10} C _1}+\frac{{ }^6 C _2}{{ }^{10} C _2}+\frac{{ }^6 C _3}{{ }^{10} C _3}+\frac{{ }^6 C _4}{{ }^{10} C _4}+\frac{{ }^6 C _5}{{ }^{10} C _5}+\frac{{ }^6 C _6}{{ }^{10} C _6}\right]\)…
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