The bag A c

Given:

Bag A contains 8 white and 7 black balls.

Bag B contains 5 white and 4 black balls.

A ball is transferred from bag A to bag B and then a ball is drawn from bag B.

There are two mutually exclusive ways to draw a white ball from bag B –

a. A white ball is transferred from bag A to bag B, and then, a white ball is drawn from bag B

b. A black ball is transferred from bag A to bag B, and then, a white ball is drawn from bag B

Let E1 be the event that white ball is drawn from bag A and E2 be the event that black ball is drawn from bag A.

Now, we have

We also have

Let E3 denote the event that white ball is drawn from bag B.

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
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