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AP EAMCET · Maths · Probability

A bag contains 10 similar balls, of which 4 are blue and 6 are red. Three balls are taken out at random from the bag one after the other without replacement. The probabilities that all the three balls drawn are red is

  1. A \(\frac{1}{5}\)
  2. B \(\frac{1}{6}\)
  3. C \(\frac{5}{9}\)
  4. D \(\frac{1}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{1}{6}\)

Step-by-step Solution

Detailed explanation

Total no. of balls \(=10\) No, of blue balls \(=4\) No. of red balls \(=6\) No. of ways to draw three red balls \(={ }^6 \mathrm{C}_3\) \(\therefore\) The required probability is :…