# A bag contains 6

Given:

Bag A contains 6 black balls and 3 white balls

Bag B contains 5 black balls and 4 white balls

It is told that one ball is drawn is drawn from is each bag.

We need to find the probability that the balls are of the same colour.

Let us find the Probability of drawing each colour ball from the bag.

P(B1) = P(drawing black ball from bag A)   P(W1) = P(drawing white ball from bag A)   P(B2) = P(drawing black ball from bag B)   P(W2) = P(drawing white ball from bag B)   We need to find the probability of drawing the same colour balls from two bags

P(S) = P(drawing two balls of same colours) = P(drawing black balls from each bag) + (P(drawing white balls from each bag)

Since drawing a ball is independent for each bag, the probabilities multiply each other.    .

The required probability 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 contains 6 RD Sharma - Volume 2

A man is known toMathematics - Board Papers

A bag contaRD Sharma - Volume 2

Three persons A, Mathematics - Board Papers

Bag I contains 3 Mathematics - Board Papers

A speaks trRD Sharma - Volume 2

Two cards aRD Sharma - Volume 2

A bag contaRD Sharma - Volume 2

Kamal and MRD Sharma - Volume 2

Two balls aRD Sharma - Volume 2