# A bag contains 4 white balls and 2 black balls. Another contains 3 white balls and 5 black balls. If one ball is drawn from each bag, find the probability thati. Both are whiteii. Both are blackiii. One is white and one is black

Given:

Bag A contains 4 white balls and 2 black balls

Bag B contains 3 white balls and 5 black balls

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

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:

i. P(DWW) = P(Both are white)

ii. P(DBB) = P(Both are black)

iii. P(DWB) = P(One drawn is white and other is black)

P(DWW) = P(Both are White)

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

P(DBB) = P(Both balls are black)

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

P(DWB) = P(One ball drawn is white and other is black)

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

.

The required probabilities are .

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