Question: Five roommates are going to move into a house with four bedrooms: one double room and three single rooms. The five roommates propose that they

Five roommates are going to move into a house with four bedrooms: one double room and three single rooms. The five roommates propose that they draw names to determine the order in which they pick the bedrooms, with the assumption that the first three names drawn will choose the single rooms, so the two roommates who are not selected will need to share the double bedroom.

Oddly, three of the guys get to enter their names thrice, while the other two only enter their names once (e.g. Alex, Bradley, and Carter each get to submit their names three times, while Derek and Edward only get to submit their names once); this produces a total of 11 entries in the drawing.

Once someone has been drawn, any duplicates of his name are removed from the pool. What is the probability that Carter is one of the first three names drawn (excluding duplicates) and can choose a single room?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

In the Mini Case on Tide PODS in this chapter, you saw how a customer-facing display of data on Amazons website reflects different data types. Based on the data types identified in the Mini Case, it...

Six roommates are going to move into a house with four bedrooms: one double room and four single rooms. The six roommates propose that they draw names to determine the order in which they pick the...

importance of workalike balance for women as a leader in healthcare. 1. The purpose of the research; 2. Research question/s; 3. Findings and relevant data; 4. Any recommendations and; 5. The...

first document is journal article, according to this document 1 answer document 2 questions \fCritical Perspectives on Accounting 27 (2015) 118-128 Contents lists available at ScienceDirect Critical...

23 Nickel and Dimed: On (Not) Getting By in America BARBARA EHRENREICH Major changes in welfare legislation in 1996 eliminated cash payments to millions of America's poor, requiring them to find...

Read the article below and answer the questions posed, the compose response should be two to three pages in length. 1. What are 2 major planning failures pre-event at Memorial that led to it becoming...

english literature - explain how the literary theory connects to your interpretation speak kn it in depth with textual evidence ans resoning. choose 7 quotes and explain it in your words JOHN...

Please see the attachment and prepare financial analysis using spreadsheet and determine whether or not they should go with the project. For the exclusive use of Z. Wu, 2016. REVISED APRIL 14, 2016...

the language to do out this code is python. Create a dictionary to count the number of words in the book. Use the stop_words_english to remove any stop words found in the book. Remove all...

Problem Statement (Summary): You are going to develop a simple application for Hotels. Hotel is, actually, a Building, with some extra features. Each hotel as a couple of rooms. Each room, has some...

could you help me with this project? please FINAL PROJECT: FIXER UPPER This case should be interesting to anyone interested in purchasing a house that needs some fixing up. It involves research,...

For the network of Fig. 5.151, determine Vcc for a voltage gain of Av = -200. 4.7

The customer service plan, as well as a review of the SWOT Analysis, are the focus for this Discussion. These are two very important parts of customer service since knowing the plan of this...

Due Date: August 1 0 , 1 1 : 5 9 PM Question 1 1 pts Deciding whether to introduce a new product line is an example of a ( n ) : operational decision. nonprocedural decision. procedural decision....

On June 28, a salesperson for Renowned Books called on the Gonchars at their home. After a very persuasive sales pitch by the agent, the Gonchars agreed in writing to purchase a twenty-volume set of...

Shenandoah Manufacturing Company has a maximum productive capacity of 210,000 units per year. Normal capacity is 180,000 units per year. Standard variable manufacturing costs are $10 per unit. Fixed...

Common receivables terms TERMS: 1. Account receivable 2. Promissory note 3. Borrower 4. Note receivable 5. Maturity date 6. Creditor DEFINITIONS: A. Transaction results in a liability for this party...

Gorman Nurseries Inc. grows poinsettias and fruit trees in a green house/nursery operation. The following information was provided for the coming year. A sales commission of 4% of sales is paid for...

WHETHER TO DISCONTINUE A DEPARTMENT Williams and Lloyd Company is trying to decide whether to discontinue department B. Operating results for the year just ended for each of the company's three...

Design a minimum-mass symmetric three-bar truss (the area of member 1 and that of member 3 are the same) to support a load P, as was shown in Fig. 2.9. The following notation may be used: Pu = P cos...

Online insurance. A local insurance agent was concerned that he might lose customers to online discount insurance sites. To investigate, he randomly selected profiles (type of car, coverage, driving...

ERP effectiveness. When implementing a packaged Enterprise Resource Planning (ERP) system, many companies report that the module they first install is Financial Accounting. Among the measures used to...

Analgesics. A pharmaceutical company tested three formulations of a pain relief medicine for migraine headache sufferers. For the experiment, 27 volunteers were selected and 9 were randomly assigned...