Q. 45.0( 2 Votes )

A bag conta

Answer :

Given:


The bag I contains 3 white and 2 black balls.


Bag II contains 2 white and 4 black balls.


A bag is chosen, and a ball is drawn from it.


There are two mutually exclusive ways to draw a white ball from one of the two bags –


a. The bag I is selected, and then, a white ball is drawn from the bag I


b. Bag II is selected, and then, a white ball is drawn from bag II


Let E1 be the event that bag I is selected and E2 be the event that bag II is selected.


Since there are only two bags and each bag has an equal probability of being selected, we have



Let E3 denote the event that a white ball is drawn.


Hence, we have





We also have






Using the theorem of total probability, we get


P(E3) = P(E1)P(E3|E1) + P(E2)P(E3|E2)







Thus, the probability of the drawn ball being white is.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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 :

A bag A contains RD Sharma - Volume 2

The contents of tRD Sharma - Volume 2

A girl throws a dMathematics - Board Papers

Three urns contaiRD Sharma - Volume 2

Two groups are coMathematics - Board Papers

The contents of tRD Sharma - Volume 2

Suppose a girl thMathematics - Board Papers

There are three cMathematics - Board Papers

Given three identMathematics - Board Papers