Home
Class 12
MATHS
Urn A contains 6 red and 4 black balls a...

Urn A contains 6 red and 4 black balls and urn B contains 4 red and 6 black balls. One ball is drawn at random from urn A and placed in urn B. Then, one ball is drawn at random from urn B and placed in urn A. If one ball is drawn at random from urn A, the probability that it is found to be red, is....

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the situation step by step, considering the different cases that can arise from transferring balls between the two urns. ### Step 1: Understand the Initial Setup - Urn A contains 6 red and 4 black balls (Total = 10 balls). - Urn B contains 4 red and 6 black balls (Total = 10 balls). ### Step 2: Case Analysis We will analyze four different cases based on the color of the ball drawn from Urn A and then from Urn B. ...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY II

    CENGAGE ENGLISH|Exercise SOLVED EXAMPLES|21 Videos

  • PROBABILITY II

    CENGAGE ENGLISH|Exercise CONCEPT APPCICATION EXERCISE 14.1|5 Videos

  • PROBABILITY I

    CENGAGE ENGLISH|Exercise JEE Advanced|7 Videos

  • PROGRESSION AND SERIES

    CENGAGE ENGLISH|Exercise ARCHIVES (MATRIX MATCH TYPE )|1 Videos

Similar Questions

Explore conceptually related problems

A bag contains 4 red and 5 black balls, a second bag contain 3 red and 7 black balls. One ball is drawn at random from each bag, find the probability that the ball are of the same colour.

A bag contains 4 red and 5 black balls, a second bag contain 3 red and 7 black balls. One ball is drawn at random from each bag, find the probability that the balls are of different colour.

Bag I contains 3 red and 4 black balls while another Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it was drawn from Bag II.

Bag I contains 3 red and 4 black balls while another Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it was drawn from Bag II.

An urn contains 10 red and 8 white balls. One ball is drawn at random. Find the probability that the ball drawn is white.

An urn contains 5 red and 5 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 um and then a ball is drawn at random. What is the probability that the second ball is red?

An um contains 5 red and 5 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 um and then a ball is drawn at random. What is the probability that the second ball is black

A bag contains 4 red and 4 black balls, another bag contains 2 red and 6 black balls. One of the two bags is selected at random and two balls are drawn at random without replacement from the bag and are found to be both red. Find the probability that the balls are drawn from the first bag.

There are 6 red and 4 black balls in a bag. A ball is drawn at random. Find the probability that the ball drawn is red.

A bag contains 4 red and 4 black balls, another bag contains 2 red and 6 black balls. One of the two bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first