1. Fifteen books are to be placed in a shelf. The fifteen books are composed of the following: six structural engineering books, five geotechnical engineering books, and four water-resource engineering books. In how many ways can you arrange the books if the water-resource engineering books are grouped together? 2. Three dice are rolled at the same time. How many possible outcomes are there if the sum of rolled dices is equal to five?

1. Fifteen books are to be placed in a shelf. The fifteen books are composed of the following: six structural engineering books, five geotechnical engineering books, and four water-resource engineering books. In how many ways can you arrange the books if the water-resource engineering books are grouped together? 2. Three dice are rolled at the same time. How many possible outcomes are there if the sum of rolled dices is equal to five?

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

3.A senior high school has, 5,000 students enrolled for academic year 2016-2017. Of these, 1200 are majoring STEM, 1,500 are ABM, 700 are HUMSS, and the remaining are GAS. A.What percent of the enrollees take HUMSS? B.What percent has chosen a major which is not HUMSS or ABM? C.What percent are enrolled to GAS?
Dr. A. Ventura is interested in determining what kinds and how many pets people own in Bakersfield. He stands outside Petco and asks people what kind of pet they own. This is the result of his survey: dog=1; cat=2; bird=3; reptile=4; fish=5; other=6 1,1,2,2,2,1,1,3,2,3,1,1,1,2,2,4,4,2,2,1,1,1,5,4,3,4,1,1,1,2,2,6,1,1,2,2,1,2,1,2,6,3,4,5
Dr. Lawrence has minimized his wardrobe during the fall of 2020, since there's no reason to dress up fancy these days. He has three pairs of jeans, five sweatshirts, and four hats that he puts to regular use. If he were to select his outfit for the day at random, how many different jean-sweatshirt-hat combinations are there? 6.
2. A contractor on the Eastern Corridor road makes a large purchase of industrial cement from Ghacem. Each bag of this industrial cement is supposed to weigh 94 pounds. To see if he is getting his money's worth, the contractor weighs 10 randomly selected bags and gets the following weights (in pounds): 94.1, 93.4, 92.8, 93.4, 95.4, 93.5, 94.0, 93.8, 92.9, 94.2 (a) What are the appropriate null and alternative hypotheses to be tested? (b) State the assumption that is necessary for performing the test. STAT 223 EXERCISE Page 1 of 2 RM-GROUP (c) Calculate the p- value of the test. Perform the test at a significance level of a = 0.1.
9. Find the number of different ways a grade A, B, C or D can be assigned to three students of a class so that no two students receive the same grade.
9. In a batting cage, a young future slugger is swinging for the cheap seats-counting the number of pitches from one "home run" (in her mind) to the next: for instance, if she counts 4, it means it took her 4 pitches to get her first home run after she hit the last one. For 20 independent "home runs," her counts were: 3, 6, 2, 16, 12, 4, 4, 5, 15, 11, 3, 3, 2, 1, 8, 11, 5, 1, 2, 1. Assuming that these data can be looked upon as a random sample from a geometric population, a) Derive the maximum likelihood estimator for the geometric distribution's parameter 0. b) Estimate the parameter for the population the given sample was drawn from. Interpret your result (this interpretation should include what the pertinent population is for this problem; what, then, the parameter would represent, etc.)
A financial institution, Kumpannee, has two departments. Department A has 8 individuals and Department B has 9 individuals. Kumpannee needs to select a team of 5 individuals to produce a forecast on the price of a barrel of crude oil. How many different teams are possible if at most 1 team member should come from Department A? O a. 18,144 ОБ.1,134 O c. 579 O d. 39,312 e. 252
james rolls a dice and flips a coin 150 times as part of an experiment.he records 80 heads,and 6 27 total times.on 55 occasions,he gets neither a head nor a 6.Complete the table below
1. Read and analyze the following problems. Write your solution on a sheet of paper. The coach of the winning basketball team chooses 3 of the 15 members to be interviewed by a sports reporter. In how many ways can the members to be interviewed be chosen? A poker hand consists of 5 cards chosen at random from a standard deck of cards. How many poker hands containing all face cards are possible? 2. 3. Suppose 7 female and 6 male applicants have been successfully screened for 5 positions. In how many ways can the following compositions be selected? a. 5 people regardless of gender b. 3 females and 2 males C. at least 3 females d. 4 females and 1 male e. 5 females 4. In a game of poker, a full house is a combination of 5 cards chosen from a standard deck of cards with three of a kind and two of a kind. How many full houses are possible?
Explain your answer
2. At Passmore University (PU) there are 600 students taking Physics or Calculus. 154 are taking Physics, 488 are taking Calculus, and 42 are taking both Physics and Calculus. How many are taking Calculus but not Physics? O
2. The college's soccer team will play II games next fall. Each game can result in one of three outcomes: a win, a loss, or a tie. Find the total possible number of outcomes for the season record.