AP EAMCET202318 May 2023Evening ShiftMathematicsProbabilityActual
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
Options
- A1 5
- B1 6
- C5 9
- D1 2
Correct answer
B. 1 6
Step-by-step solution
Total no. of balls =10 No, of blue balls =4 No. of red balls =6 No. of ways to draw three red balls = ^6 C ₃ The required probability is : P = ^6 C ₃ 10_ C ₃ = 6 5 4 6 10 9 8 6 = 1 6