Q. 145.0( 1 Vote )

There are 3 bags, each containing 5 white and 3 black balls. Also, there are 2 bags, each containing 2 white and 4 black balls. A white ball is drawn at random. Find the probability that this ball is from a bag of the first group.

Answer :

Let A : the set of first 3 bags


B : a set of next 2 bags


WB : White ball


BB : Black ball


Now we can change the problem to two bags, i.e. bag A containing 15 white and 9 black balls(5 white and 3 black in each bag) and bag B containing 4 white and 8 black balls(2 white and 4 black balls in each bag)


Probability of selecting bag A is (3 bags are in A) and selecting B is (2 bags are in B)


We want to find the probability of selected white ball is from bag A






Conclusion: Therefore, the probability of selected white ball is from the first group is


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Application of Biotechnology | Concepts - 02Application of Biotechnology | Concepts - 02Application of Biotechnology | Concepts - 0256 mins
Application of Biotechnology Part 2Application of Biotechnology Part 2Application of Biotechnology Part 229 mins
Interactive Quiz on BiotechnologyInteractive Quiz on BiotechnologyInteractive Quiz on Biotechnology25 mins
Interactive Quiz | Biotechnology - 03Interactive Quiz | Biotechnology - 03Interactive Quiz | Biotechnology - 0342 mins
Application of BiotechnologyApplication of BiotechnologyApplication of Biotechnology48 mins
PCR & Agarose Gel ElectrophoresisPCR & Agarose Gel ElectrophoresisPCR & Agarose Gel Electrophoresis58 mins
Application of Biotechnology | Concepts - 01Application of Biotechnology | Concepts - 01Application of Biotechnology | Concepts - 0160 mins
Interactive Quiz | Biotechnology - 02Interactive Quiz | Biotechnology - 02Interactive Quiz | Biotechnology - 0257 mins
Lorentz force & its applicationsLorentz force & its applicationsLorentz force & its applications33 mins
Parallel plate capacitor and its capacitanceParallel plate capacitor and its capacitanceParallel plate capacitor and its capacitance42 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :