Home
Class 12
MATHS
An urn contains m white and n black bal...

An urn contains m white and n black balls. A ball is drawn at random and is put back into the urn along with k additional balls of the same colour as that of the ball drawn. A ball is again drawn at random. What is the probability that the ball drawn now is white ?

Text Solution

AI Generated Solution

To solve the problem step by step, we will analyze the situation and calculate the probability that the second ball drawn is white. ### Step 1: Understanding the Initial Setup We have an urn containing: - \( m \) white balls - \( n \) black balls The total number of balls in the urn is \( m + n \). ...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    IIT JEE PREVIOUS YEAR|Exercise TOPIC 5 PROBABILITY DISTRIBUTION AND BINOMIAL DISTRIBUTTION OBJECTIVE QUESTIONS (ONLY ONE CORRECT OPTION)|11 Videos
  • PROBABILITY

    IIT JEE PREVIOUS YEAR|Exercise TOPIC 5 PROBABILITY DISTRIBUTION AND BINOMIAL DISTRIBUTTION OBJECTIVE QUESTIONS ONLY ONE CORRECT OPTION (FILL IN THE BLANKS )|2 Videos
  • PROBABILITY

    IIT JEE PREVIOUS YEAR|Exercise TOPIC 4 LAW TOTAL PROBABILITY AND BAYES THEOREM OBJECTIVE QUESTION II (PASSAGE BASED PROBLEMS )|10 Videos
  • PERMUTATIONS AND COMBINATIONS

    IIT JEE PREVIOUS YEAR|Exercise Dearrangement and Number of Divisors (Fill in the Blank )|1 Videos
  • RELATIONS AND FUNCTIONS

    IIT JEE PREVIOUS YEAR|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

An urn contains m white and n black balls.A ball is drawn at random and is put back into the urn along with k balls of the same colour as that of the ball drawn.a ball is again drawn at random.Show that the probability of drawing a white ball now does not depend on k.

A bag contains w white and b black balls. A ball is drawn at random and put back in the bag with k additional balls of the same colour. A ball is again drawn at random from the bag. The probability that it is black is

A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

A bag contains 3 white and 2 red balls. One ball is drawn at random. What is the probability that the ball drawn is red?

A bag contains 5 white and 7 red balls. One ball is drawn at random. What is the probability that ball drawn is white?

A box contains 4 white and 5 black balls. A ball is drawn at random and its colour is noted. A ball is then put back in the box along with two additional balls of its opposite colour. If a ball is drawn again from the box, then the probability that the ball drawn now is black, is

An urn contains 5 red and 6 black balls. A ball is drawn at random, its colour is noted and is returned to the urn. Moreover, 2 additional balls of the colour drawn are put in the urn and then a ball is drawn at random. What is the probability that the second ball is red ?

A bag contains 5 white and 7 red balls.One ball is drawn at random.What is the probability that ball drawn is white?

A bag contains 30 white and 10 red balls. One ball is drawn at random. What is the probability that the ball drawn is red?