EBK FIRST COURSE IN PROBABILITY, A
10th Edition
ISBN: 9780134753676
Author: Ross
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
thumb_up100%
Chapter 2, Problem 2.16P
Poker dice is played by simultaneously rolling 5 dice. Show that
a. P{no two alike} = .0926;
b. P{one pair} = .4630;
c. P{two pair) = .2315;
d. P{three alike) = .1543;
e. P{full house} = .0386;
f. P{four alike) = .0193;
g. P{five alike} = .0008.
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule02:58
Students have asked these similar questions
Was wanting to check if my calculations were correct
Suppose 52% of the population has a college degree.
If a random sample of size 808 is selected, what is the probability that the proportion of persons with a college degree will be less than 54%?
Round to four decimal places.
after following the formula I got 0.8724
At the beginning of each semester, students at the University of Minnesota receive one prepaid copy card
that allows them to print from the copiers and printers on campus. The amount of money remaining on the
card can be modeled by a linear equation where A represents how much remains on the card (in dollars)
and p represents the number of pages that the student has printed. The graph of this linear equation is
given below.
100
90
80
70
60
50
40
30
20
10
0
A = Amount on Card ($)
0
200
400
600
800 1000 1200 1400 1600
p = Number of Pages Printed
What information does the vertical intercept tell you (represent) for this problem? Be sure to include
specific details in your answer -- your answer should have both quantitative and qualitative data to
describe the answer in terms of the question.
Data management no 2 thanks
Chapter 2 Solutions
EBK FIRST COURSE IN PROBABILITY, A
Ch. 2 - A box contains 3 marbles: 1 red, 1 green, and 1...Ch. 2 - In an experiment, die is rolled continually until...Ch. 2 - Two dice are thrown. Let E be the event that the...Ch. 2 - A, B, and C take turns flipping a coin. The first...Ch. 2 - A system is composed of 5 components, each of...Ch. 2 - A hospital administrator codes incoming patients...Ch. 2 - Consider an experiment that consists of...Ch. 2 - Suppose that A and B are mutually exclusive events...Ch. 2 - A retail establishment accepts either the American...Ch. 2 - Sixty percent of the students at a certain school...
Ch. 2 - A total of 28 percent of American males smoke...Ch. 2 - An elementary school is offering 3 language...Ch. 2 - A certain town with a population of 100.000 has 3...Ch. 2 - The following data were given in a study of a...Ch. 2 - If it is assumed that all (525) poker hands are...Ch. 2 - Poker dice is played by simultaneously rolling 5...Ch. 2 - Twenty five people, consisting of 15 women and 10...Ch. 2 - Two cards are randomly selected from an ordinary...Ch. 2 - Two symmetric dice have had two of their sides...Ch. 2 - Suppose that you are playing blackjack against a...Ch. 2 - A small community organization consists of 20...Ch. 2 - Consider the following technique for shuffling a...Ch. 2 - A pair of fair dice is rolled. What is the...Ch. 2 - It two dice are rolled, what is the probability...Ch. 2 - A pair of dice is rolled until a sum of either 5...Ch. 2 - The game of craps is played as follows: A player...Ch. 2 - An urn contains 3 red and 7 black balls. Players A...Ch. 2 - An urn contains 5 red, 6 blue, and 8 green balls....Ch. 2 - An urn contains n white and m black balls, where n...Ch. 2 - The chess clubs of two schools consist of,...Ch. 2 - A 3-person basketball team consists of a guard, a...Ch. 2 - A group of individuals containing b boys and g...Ch. 2 - A forest contains 20 elk, of which 5 are captured,...Ch. 2 - The second Earl of Yarborough is reported to have...Ch. 2 - Seven balls are randomly withdrawn from an urn...Ch. 2 - Two cards are chosen at random from a deck of 52...Ch. 2 - An instructor gives her class a set of 10 problems...Ch. 2 - There are n socks. 3 of which are red, in a...Ch. 2 - There are 5 hotels in a certain town. If 3 people...Ch. 2 - If 4 balls are randomly chosen from an urn...Ch. 2 - If a die is rolled 4 times, what is the...Ch. 2 - Two dice are thrown n times in succession. Compute...Ch. 2 - a. If N people, including A and B, are randomly...Ch. 2 - Five people, designated as A, B, C, D, E, are...Ch. 2 - A woman has n keys, of which one will open her...Ch. 2 - How many people have to be in a room in order that...Ch. 2 - Suppose that 5 of the numbers 1, 2,..., 14 are...Ch. 2 - Given 20 people, what is the probability that...Ch. 2 - A group of 6 men and 6 women is randomly divided...Ch. 2 - In a hand of bridge, find the probability that you...Ch. 2 - Suppose that n balls are randomly distributed into...Ch. 2 - A closet contains 10 pairs of shoes. If 8 shoes...Ch. 2 - If 8 people, consisting of 4 couples, are randomly...Ch. 2 - Compute the probability that a bridge hand is void...Ch. 2 - Compute the probability that a hand of 13 cards...Ch. 2 - Two players play the following game: Player A...Ch. 2 - Prove the following relations: EFEEFCh. 2 - Prove the following relations: If EF, then FCEC.Ch. 2 - Prove the following relations: 3. F=FEFEC and...Ch. 2 - Prove the following relations: (1Ei)F=1EiF and...Ch. 2 - For any sequence of events E1,E2,..., define a new...Ch. 2 - Let E, F, and C be three events. Find expressions...Ch. 2 - Use Venn diagrams a. to simplify the expression...Ch. 2 - Prob. 2.8TECh. 2 - Suppose that an experiment is performed n times...Ch. 2 - Prove...Ch. 2 - If P(E)=.9 and P(F)=.8, show that P(EF).7. In...Ch. 2 - Show that the probability that exactly one of the...Ch. 2 - Prove that P(EF)=P(E)P(EF).Ch. 2 - Prove Proposition 4.4 by mathematical induction.Ch. 2 - An urn contains M white and N black balls. If a...Ch. 2 - Use induction to generalize Bonferronis inequality...Ch. 2 - Consider the matching problem. Example 5m, and...Ch. 2 - Let fn, denote the number of ways of tossing a...Ch. 2 - An urn contains n red and m blue balls. They are...Ch. 2 - Consider an experiment whose sample space consists...Ch. 2 - Consider Example 50, which is concerned with the...Ch. 2 - A cafeteria offers a three-course meal consisting...Ch. 2 - A customer visiting the suit department of a...Ch. 2 - A deck of cards is dealt out. What is the...Ch. 2 - Let A denote the event that the midtown...Ch. 2 - An ordinary deck of 52 cards is shuffled. What is...Ch. 2 - Urn A contains 3 red and 3 black balls, whereas...Ch. 2 - In a state lottery, a player must choose 8 of the...Ch. 2 - From a group of 3 first-year students, 4...Ch. 2 - For a finite set A, let N(A) denote the number of...Ch. 2 - Consider an experiment that consists of 6 horses,...Ch. 2 - A 5-card hand is dealt from a well-shuffled deck...Ch. 2 - A basketball team consists of 6 frontcourt and 4...Ch. 2 - Suppose that a person chooses a letter at random...Ch. 2 - Prove Booles inequality P(i=1Ai)i=1P(Ai)Ch. 2 - Show that if P(Ai)=1 for all i1, then P(i=1Ai)=1.Ch. 2 - Let Tk(n) denote the number of partitions of the...Ch. 2 - Five balls are randomly chosen, without...Ch. 2 - Four red, 8 blue, and 5 green balls are randomly...Ch. 2 - Ten cards are randomly chosen from a deck of 52...Ch. 2 - Balls are randomly removed from an urn initially...
Additional Math Textbook Solutions
Find more solutions based on key concepts
CHECK POINT 1 In a survey on musical tastes, respondents were asked: Do you listed to classical music? Do you l...
Thinking Mathematically (6th Edition)
What is the domain and the range of y=secx ?
Precalculus
1. Cans of Coke Data Set 26 “Cola Weights and Volumes” in Appendix B includes volumes (oz) of regular Coke. Bas...
Elementary Statistics (13th Edition)
Number of times the length of virus than an atom as mentioned in the problem.
Pre-Algebra Student Edition
Each of Exercises 1–4 gives a value of sinh x or cosh x. Use the definitions and the identity cosh2 x − sinh2x ...
University Calculus: Early Transcendentals (4th Edition)
Mathematical Connections Explain why a number and a numeral are considered different.
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Similar questions
- G12 Data Management please help on the first question no 1 belowarrow_forwardTotal marks 14 4. Let X and Y be random variables on a probability space (N, F, P) that take values in [0, ∞). Assume that the joint density function of X and Y on [0, ∞) × [0, ∞) is given by f(x, y) = 2e-2x-y Find the probability P(0 ≤ X ≤ 1,0 ≤ y ≤ 2). (ii) spectively. [6 Marks] Find the the probability density function of X and Y, re- [5 Marks] 111) Are the X and Y independent? Justify your answer! [3 Marks]arrow_forwardTotal marks 17 4. Let (,,P) be a probability space and let X : → R be a ran- dom variable that has Gamma(2, 1) distribution, i.e., the distribution of the random variable X is the probability measure on ((0, ∞), B((0, ∞))) given by (i) dPx(x) = xex dx. Find the characteristic function of the random variable X. [8 Marks] (ii) Using the result of (i), calculate the first three moments of the random variable X, i.e., E(X") for n = 1, 2, 3. Using Markov's inequality involving E(X³), (iii) probability P(X > 10). [6 Marks] estimate the [3 Marks]arrow_forward
- 1. There are 8 balls in an urn, of which 6 balls are red, 1 ball is blue and 1 ball is white. You draw a ball from the urn at random, note its colour, do not return the ball to the urn, and then draw a second ball, note its colour, do not return the ball to the urn, and finally draw a third ball, note its colour. (i) (Q, F, P). Describe the corresponding discrete probability space [7 Marks] (ii) Consider the following event, A: At least one of the first two balls is red.arrow_forward3. Consider the following discrete probability space. Let = {aaa, bbb, ccc, abc, acb, bac, bca, cab, cba}, i.e., consists of 3-letter 'words' aaa, bbb, ccc, and all six possible 3-letter 'words' that have a single letter a, a single letter b, and a single letter c. The probability measure P is given by 1 P(w) = for each weΩ. 9 Consider the following events: A: the first letter of a 'word' is a, B: the second letter of a 'word' is a, C: the third letter of a 'word' is a. answer! Decide whether the statements bellow are true or false. Justify your (i) The events A, B, C are pairwise independent. (ii) The events A, B, C are independent. Total marks 7 [7 Marks]arrow_forwardLet X and Y have the following joint probability density function: fxy(x,y) =1/(x²²), for >>1, y>1 0, otherwise Let U = 5XY and V = 3 x. In all question parts below, give your answers to three decimal places (where appropriate). (a) The non-zero part of the joint probability density function of U and V is given by fu,v(u,v) = A√³uc for some constants A, B, C. Find the value of A. Answer: 5 Question 5 Answer saved Flag question Find the value of B. Answer: -1 Question 6 Answer saved P Flag question (b) The support of (U,V), namely the values of u and vthat correspond to the non-zero part of fu,v(u,v) given in part (a), is given by:arrow_forward
- Total marks 13. 3. There are three urns. Urn I contains 3 blue balls and 5 white balls; urn II contains 2 blue balls and 6 white balls; urn III contains 4 blue balls and 4 white balls. Rolling a dice, if 1 appears, we draw a ball from urn I; if 4 or 5 or 6 appears, we draw a ball from urn II; if 2, or 3 appears, we draw a ball from urn III. (i) What is the probability to draw a blue ball? [7 Marks] (ii) Assume that a blue ball is drawn. What is the probability that it came from Urn I? [6 Marks] Turn over. MA-252: Page 3 of 4arrow_forward3. Consider the discrete probability space with the sample space = {a, b, c, d, e, f, g, h} and the probability measure P given by P(w) for each wEN. Consider the following events: A = {a, c, e, g}, B = {b, c, d, e}, C = = {a, b, d, g}. Decide whether the statements bellow are true or false. Justify your answer! (i) The events A, B, C are pairwise independent. (ii) The events A, B, C are independent. Total marks 6 [6 Marks]arrow_forward2. space Consider the discrete probability space (N, F, P) with the sample N = {W1 W2 W3 W4 W5, W6, W7, W8, W9, W10, W11, W12}, is the power of 2, and the probability measure P is given by 1 P(wi) for each i = 1, 12. 12 Consider the following events: A = {W1, W3, W5, W7, W9, W11}, C = B = {W1, WA, W7, W8, W9, W12}, = {W3, WA, W5, W6, W9, W12}. Decide whether the statements bellow are true or false. Justify your answer! (i) The events A, B, C are pairwise independent. [5 Marks] Total marks 8 (ii) The events A, B, C are independent. [3 Marks]arrow_forward
- should my answer be 2.632 or -2.632?arrow_forward2. Alice has three unfair coins. The first coin shows heads with proba- bility 0.3 and tails with probability 0.7. The second coin shows heads with probability 0.9 and tails with probability 0.1. The third coin shows heads with probability 0.4 and tails with probability 0.6. First, Alice throws a dice. If the dice yields a 1 or 2, Alice tosses the first coin. If the dice yields a 3, Alice tosses the second coin. If the dice yields a 4 or 5, or 6, Alice tosses the third coin. (i) What is the probability of the following event: as a result of throwing the dice and then tossing a coin, tails appear. [7 Marks] Assume a coin shows tails. What is the probability that Alice (ii) tossed (a) the first coin; (b) the second coin; Total marks 11 (c) the third coin? [4 Marks]arrow_forwardIn a Poisson process with A = 500 arrivals per day, find the approximate probability that the thousandth arrival comes between 47.5 and 48.5 hours after the start of observations.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Bayes' Theorem 1: Introduction and conditional probability; Author: Dr Nic's Maths and Stats;https://www.youtube.com/watch?v=lQVkXfJ-rpU;License: Standard YouTube License, CC-BY
What is Conditional Probability | Bayes Theorem | Conditional Probability Examples & Problems; Author: ACADGILD;https://www.youtube.com/watch?v=MxOny_1y2Q4;License: Standard YouTube License, CC-BY
Bayes' Theorem of Probability With Tree Diagrams & Venn Diagrams; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=OByl4RJxnKA;License: Standard YouTube License, CC-BY
Bayes' Theorem - The Simplest Case; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=XQoLVl31ZfQ;License: Standard Youtube License