There are 10 urns of which each of 3 contains 1W, 9B balls, each others 3 contains 9W, 1B balls and remaining 4 each contains 5W, 5B balls. One of the urns was selected at random and a ball was chosen from it. (i) What is the probability that it is white ball? (ii) If ball is black, what is the chance that it comes out from the urn consisting 9W and 1B balls.

There are 10 urns of which each of 3 contains 1W, 9B balls, each others 3 contains 9W, 1B balls and remaining 4 each contains 5W, 5B balls. One of the urns was selected at random and a ball was chosen from it. (i) What is the probability that it is white ball? (ii) If ball is black, what is the chance that it comes out from the urn consisting 9W and 1B balls.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Three boxes contain red and green balls. Box 1 has 5 red balls and 5 green balls, Box 2 has 7 red ballsand 3 green balls and Box 3 contains 6 red balls and 4 green balls. The respective probabilities of choosing a box are 1/4, 1/2, 1/4. What is the probability that the ball came from box 2, if it was red?
one bag contains 4 white and 3 black and 2 nd bag contains 3 white and 5 black balls. One ball is drawn from the first bag and placed unseen in the second bag. What is probability that a ball now drawn from the second bag is black?
An urn has 10 balls that are identical except that 3 are white and 7 are red. A sample of 4 is selected randomly without replacement. What is the probability that exactly 2 are white and 2 are red?What is the probability that at least 2 of the balls are white?
Three CDs are drawn randomly in succession without replacement from a collection consisting of 5 jazz CDs and 4 classical CDs. What is the probability that the 3 CDs are 2 jazz and 1 classical?
Bag A contains 3 red and 4 black balls and Bag B contains 4 red and 5 black balls. One ball istransferred from Bag A to Bag B and then a ball is drawn from Bag B. The ball so drawn is found tobe red in color. Find the probability that the transferred ball is black.
Suppose that the New England Colonials baseball team is equally likely to win a game as not to win it. If 4 Colonials games are chosen at random, what is the probability that exactly 3 of those games are won by the Colonials?
A sample of 76 items manufactured by a machine contains 13 defective items and the rest are non-defective. If 15 items are selected at random, what is the probability that fewer than 2 of these are defective?
An analyst is presented with lists of 4 stocks and 5 bonds. He is asked to predict, in order, the 2 stocks that will yield the highest return over the next year and the 2 bonds that will have the highest return over the next year. Suppose that these predictions are made randomly and independently of each other. What is the probability that the analyst will be successful in at least 1 of the 2 tasks?
A box contains 40 batteries, 5 of which have low lifetimes, 30 of which have average lifetimes, and 5 of which have high lifetimes. A consumer requires 8 batteries to run an appliance and randomly selects them all from the box. What is the probability that among the 8 batteries fitted into the consumer's appliance, there are exactly 2 low, 4 average and 2 high lifetimes batteries?