An urn contains n white and m black balls, where and m are positive numbers. a. If

Question:

An urn contains n white and m black balls, where and m are positive numbers.

a. If two balls are randomly withdrawn, what is the probability that they are the same color?

b. If a ball is randomly withdrawn and then replaced before the second one is drawn, what is the probability that the withdrawn balls are the same color?

c. Show that the probability in part (b) is always larger than the one in part (a).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

A First Course In Probability

ISBN: 9780134753119

10th Edition

Authors: Sheldon Ross

See More Books

Question Posted: Sep 09, 2021 02:11 AM

See More Questions

(a) An urn contains n white and m black balls. The balls are withdrawn one at a time until only those of the same color are left. Show that, with probability n/(n + m), they are all white. Imagine...
An urn contains n chips numbered 1 through n. Assume that the probability of choosing chip i is equal to ki, i = 1, 2. . . n. If one chip is drawn, calculate E (1 X), where the random variable X...
Two fair dice are rolled. What is the probability that the number on the first die was at least as large as 4 given that the sum of the two dice was 8?
Employee earnings records for Redding Company reveal the following gross earnings for four employees through the pay period of December 15. D. Edwards ........... $83,500 A. Seligman...
Thorium oxide can be dissolved in acidic solution: ThO2(s) + 4H+ ( Th4+(aq) + 2H2O() How many milliliters of 1.55 M HCl(aq) are needed to dissolve 10.65 g of ThO2?
Why might a younger high-tech company select equity over debt when raising capital?
You are working with the square wire loop shown in Figure P27.72. The loop lies in a magnetic field, is connected to a battery, and is attached to an axis that runs through its center and is parallel...
Partial forecasts of financial statements for Watson Corporation appear in Exhibit 10.8 (income statement), Exhibit 10.9 (balance sheet), and Exhibit 10.10 (statement of cash flows). Selected amounts...
(a) X Ltd. is studying the possible acquisition of Y Ltd. by way of merger. The following data are available in respect of both the companies. Particulars Market Capitalization (Rs.) Gross Profit...
The Wine Depot owned the following fixed assets as of December 31, 2018: You are to create Wine Depots fixed asset depreciation summary and individual depreciation worksheets using the straight-line...
A 3-person basketball team consists of a guard, a forward, and a center. a. If a person is chosen at random from each of three different such teams, what is the probability of selecting a complete...
A pair of dice is rolled until a sum of either 5 or 7 appears. Find the probability that a 5 occurs first.
At the conclusion of this chapter, the textbook mentions that data and process modeling may eventually become obsolete due to the increasing popularity and usage of object-oriented modeling and...
Portfolio revisions using bond futures contracts. Consider the following original portfolio and revise it with bond futures contracts. Stock 4,000,000 Bonds 4,000,000 Cash 4, 000 000 Total 12,000,000...
What are your rights if you are injured at work and your employer does not have workers' compensation? What compensation do you and your dependent children have if your partner dies on a construction...
The consultants predict a 25% chance of the project producing a 37% return, a 50% chance of producing a 12% return, and a 25% chance of producing a -18% return. What is the standard deviation given...
A single slit of width 0 . 3 mm is illuminated by a mercury light of wavelength 2 5 4 nm . Find the intensity at an 1 1 degree angle to the axis in terms of the intensity of the central maximum.
Suppose that the BMW Plant in Spartanburg, SC decides to replace a major assembly line on the plant floor. The current assembly line has a book value of $400,000, and the firm can sell it to another...
Carboxypeptidase A has esterase activity as well as peptidase activity. In other words, the compound can hydrolyze ester bonds as well as peptide bonds. When carboxypeptidase A hydrolyzes ester...
DC has unused FTC carryover from 2017 in the separate category for GC income as the result of income generated by a foreign branch. The income was foreign source general category income. In 2018 the...
If Y is uniformly distributed over (0, 5), what is the probability that the roots of the equation 4x2 + 4xY + Y + 2 = 0 are both real?
The probability density function of X, the lifetime of a certain type of electronic device (measured in hours), is given by (a) Find P{X > 20}. (b) What is the cumulative distribution function of X?...
A filling station is supplied with gasoline once a week. If its weekly volume of sales in thousands of gallons is a random variable with probability density function what must the capacity of the...
Suppose one refrigerator costs $214 and uses $14 of electricity per year, while another costs $750 and uses $6 of electricity per year. In how many years will they cost the same
The City Library has ordered a new computer system costing $158,000. The system will be delivered in 6 months, and the full amount will be due 30 days after delivery. How much should be deposited...
Abby found a roll of fabric. The fabric is 36 inches wide and 23 feet 3 inches long. He needs to cut four 1-yard-wide sections from this roll. The length of those sections are 5 2/3 ft., 4 7/8 ft., 5...

An urn contains n white and m black balls, where and m are positive numbers. a. If

Question:

Step by Step Answer:

a If two balls are randomly withdrawn without replacement the pr...View the full answer

A First Course In Probability

Students also viewed these Mathematics questions