NDA2023MathematicsProbabilityActual
One bag contains 3 white and 2 black balls, another bag contains 2 white and 3 black balls. Two balls are drawn from the first bag and put it into the second bag and then a ball is drawn from the second bag. What is the probability that it is white?
Options
- A16 35
- B33 70
- C3 10
- D1 70
Correct answer
A. 16 35
Step-by-step solution
When 2 balls are drawn from I, it can be done as both black, both white or 1 black 1 white. Now in such cases, new number of balls will be Total Probability = ( ^2 C₂ ^5 C₂ 2 7 )+ ( ^2 C₁ ^3 C₁ ^5 C₂ 3 7 )+ ( ^3 C₂ ^5 C₂ 4 7 )= 32 70 = 16 35 .