A bag contains 10 identical pens, of which 4 are red and 6 are blue. 3 pens are taken out at random one after another. Find probability that all 3 are blue

Step-by-step solution

Total number of balls =10 Number of Red balls =4 Number of Blue balls =6 Total Number of ways of choosing 3 balls = ¹⁰ C₃ Number of ways of choosing 3 blue balls = ^6 C₃ Required Probability = ^6 C₃ ¹⁰ C₃ = 1 6 Hence, option (3) is correct.