Q. 23

Mark the correct alternative in each of the following:

A bag X contains 2 white and 3 black balls and another bag Y contains 4 white and 2 black balls. One bag is selected at random and a ball is drawn from it. Then, the probability chosen to be white is

A. 2/15

B. 7/15

C. 8/15

D. 14/15

Answer :

Let A be the event of drawing a white ball.

Event M1 = Selecting bag X

Event M2 = Selecting bag Y

Let’s see what all probabilities we can find out from the given problem:

Selecting bag X = P(M1) =

Selecting bag Y = P(M2) =

Drawing white ball from bag X = P =

Drawing white ball from bag Y = P = =

Now, according to law of total probability

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