A First Course in Probability (10th Edi...10th EditionSheldon Ross Publisher: PEARSONISBN: 9780134753119
A First Course in Probability (10th Edi...
Solutions for A First Course in Probability (10th Edition)
Problem 2.1P:
A box contains 3 marbles: 1 red, 1 green, and 1 blue. Consider an experiment that consists of taking...Problem 2.2P:
In an experiment, die is rolled continually until a 6 appears, at which point the experiment stops....Problem 2.3P:
Two dice are thrown. Let E be the event that the sum of the dice is odd, let F be the event that at...Problem 2.4P:
A, B, and C take turns flipping a coin. The first one to get a head wins. The sample space of this...Problem 2.5P:
A system is composed of 5 components, each of which is either working or failed. Consider an...Problem 2.6P:
A hospital administrator codes incoming patients suffering gunshot wounds according to whether they...Problem 2.7P:
Consider an experiment that consists of determining the type of job-either blue collar or white...Problem 2.8P:
Suppose that A and B are mutually exclusive events for which P(A) = .3 and P(B) = .5. What is the...Problem 2.9P:
A retail establishment accepts either the American Express or the VISA credit card. A total of 24...Problem 2.10P:
Sixty percent of the students at a certain school wear neither a ring nor a necklace. Twenty percent...Problem 2.11P:
A total of 28 percent of American males smoke cigarettes. 7 percent smoke cigars, and 5 percent...Problem 2.12P:
An elementary school is offering 3 language classes: one in Spanish. one In French. and one in...Problem 2.13P:
A certain town with a population of 100.000 has 3 newspapers: I, II, and Ill. The proportions of...Problem 2.14P:
The following data were given in a study of a group of 1000 subscribers to a certain magazine: In...Problem 2.15P:
If it is assumed that all (525) poker hands are equally likely, what is the probability of being...Problem 2.16P:
Poker dice is played by simultaneously rolling 5 dice. Show that a. P{no two alike} = .0926; b....Problem 2.17P:
Twenty five people, consisting of 15 women and 10 men are lined up in a random order. Find the...Problem 2.18P:
Two cards are randomly selected from an ordinary playing deck. What is the probability that they...Problem 2.19P:
Two symmetric dice have had two of their sides painted red, two painted black, one painted yellow,...Problem 2.20P:
Suppose that you are playing blackjack against a dealer. In a freshly shuffled deck, what is the...Problem 2.21P:
A small community organization consists of 20 families, of which 4 have one child. 8 have two...Problem 2.22P:
Consider the following technique for shuffling a deck of n cards: F of any initial ordering of the...Problem 2.23P:
A pair of fair dice is rolled. What is the probability that the second die lands on a higher value...Problem 2.24P:
It two dice are rolled, what is the probability that the sum of the upturned faces equals 1? Find it...Problem 2.25P:
A pair of dice is rolled until a sum of either 5 or 7 appears. Find the probability that a 5 occurs...Problem 2.26P:
The game of craps is played as follows: A player rolls two dice. If the sum of the dice is either a...Problem 2.27P:
An urn contains 3 red and 7 black balls. Players A and B withdraw balls from the urn consecutively...Problem 2.28P:
An urn contains 5 red, 6 blue, and 8 green balls. If a set of 3 balls is randomly selected, what is...Problem 2.29P:
An urn contains n white and m black balls, where n and m are positive numbers. a. If two balls are...Problem 2.30P:
The chess clubs of two schools consist of, respectively, 8 and 9 players. Four members from each...Problem 2.31P:
A 3-person basketball team consists of a guard, a forward, and a center. a. If a person is chosen at...Problem 2.32P:
A group of individuals containing b boys and g girls is lined up in random order: that is, each of...Problem 2.33P:
A forest contains 20 elk, of which 5 are captured, tagged, and then released. A certain time later,...Problem 2.34P:
The second Earl of Yarborough is reported to have bet at odds of 1000 to 1 that a bridge hand of 13...Problem 2.35P:
Seven balls are randomly withdrawn from an urn that contains 12 red, 16 blue, and 18 green balls....Problem 2.36P:
Two cards are chosen at random from a deck of 52 playing cards. What is the probability that they a....Problem 2.37P:
An instructor gives her class a set of 10 problems with the Information that the final exam will...Problem 2.38P:
There are n socks. 3 of which are red, in a drawer. What is the value of n if, when 2 of the socks...Problem 2.39P:
There are 5 hotels in a certain town. If 3 people check into hotels in a day, what is the...Problem 2.40P:
If 4 balls are randomly chosen from an urn containing 4 red, 5 white, 6 blue, and 7 green balls,...Problem 2.42P:
Two dice are thrown n times in succession. Compute the probability that double 6 appears at least...Problem 2.43P:
a. If N people, including A and B, are randomly arranged in a line, what is the probability that A...Problem 2.44P:
Five people, designated as A, B, C, D, E, are arranged in linear order. Assuming that each possible...Problem 2.45P:
A woman has n keys, of which one will open her door. a. If she tries the keys at random, discarding...Problem 2.46P:
How many people have to be in a room in order that the probability that at least two of them...Problem 2.47P:
Suppose that 5 of the numbers 1, 2,..., 14 are chosen. Find the probability that 9 is the third...Problem 2.48P:
Given 20 people, what is the probability that among the 12 months in the year, there are 4 months...Problem 2.49P:
A group of 6 men and 6 women is randomly divided into 2 groups of size 6 each. What is the...Problem 2.50P:
In a hand of bridge, find the probability that you have 5 spades and your partner has the remaining...Problem 2.51P:
Suppose that n balls are randomly distributed into N compartments. Find the probability that m balls...Problem 2.52P:
A closet contains 10 pairs of shoes. If 8 shoes are randomly selected, what is the probability that...Problem 2.53P:
If 8 people, consisting of 4 couples, are randomly arranged In a row, find the probability that no...Problem 2.54P:
Compute the probability that a bridge hand is void in at least one suit. Note that the answer is not...Problem 2.55P:
Compute the probability that a hand of 13 cards contains a. the ace and king of at least one suit:...Problem 2.56P:
Two players play the following game: Player A chooses one of the three spinners pictured in Figure...Problem 2.1TE:
Prove the following relations: EFEEFProblem 2.2TE:
Prove the following relations: If EF, then FCEC.Problem 2.3TE:
Prove the following relations: 3. F=FEFEC and EF=EECF ,Problem 2.5TE:
For any sequence of events E1,E2,..., define a new sequence F1,F2,... of disjoint events (that is....Problem 2.6TE:
Let E, F, and C be three events. Find expressions for the events so that. of E, F, and C, a. only E...Problem 2.7TE:
Use Venn diagrams a. to simplify the expression (EF)(EFC); b. to prove DeMorgans laws for events E...Problem 2.9TE:
Suppose that an experiment is performed n times For any event E of the sample space. let n(E) denote...Problem 2.11TE:
If P(E)=.9 and P(F)=.8, show that P(EF).7. In general, prove Bonferronis inequality,...Problem 2.12TE:
Show that the probability that exactly one of the events E or F occurs equalsP(E)+P(F)2P(EF).Problem 2.13TE:
Prove that P(EF)=P(E)P(EF).Problem 2.14TE:
Prove Proposition 4.4 by mathematical induction.Problem 2.15TE:
An urn contains M white and N black balls. If a random sample of size r is chosen, what is the...Problem 2.17TE:
Consider the matching problem. Example 5m, and define AN to be the number of ways in which the N men...Problem 2.18TE:
Let fn, denote the number of ways of tossing a coin n times such that successive heads never appear....Problem 2.19TE:
An urn contains n red and m blue balls. They are withdrawn one at a time until a total of r, rn red...Problem 2.20TE:
Consider an experiment whose sample space consists of a countably infinite number of points. Show...Problem 2.21TE:
Consider Example 50, which is concerned with the number of runs of wins obtained when n wins and m...Problem 2.1STPE:
A cafeteria offers a three-course meal consisting of an entree. a starch, and a dessert. The...Problem 2.2STPE:
A customer visiting the suit department of a certain store will purchase a suit with probability...Problem 2.3STPE:
A deck of cards is dealt out. What is the probability that the 14th card dealt is an ace? What is...Problem 2.4STPE:
Let A denote the event that the midtown temperature in Los Angeles is 70F, and let B denote the...Problem 2.5STPE:
An ordinary deck of 52 cards is shuffled. What is the probability that the top four cards have a....Problem 2.6STPE:
Urn A contains 3 red and 3 black balls, whereas urn B contains 4 red and 6 black balls. If a ball is...Problem 2.7STPE:
In a state lottery, a player must choose 8 of the numbers from 1 to 40. The lottery commission then...Problem 2.8STPE:
From a group of 3 first-year students, 4 sophomores, 4 juniors, and 3 seniors, a committee of size 4...Problem 2.9STPE:
For a finite set A, let N(A) denote the number of elements in A. a. Show that N(AB)=N(A)+N(B)N(AB)...Problem 2.10STPE:
Consider an experiment that consists of 6 horses, numbered 1 through 6, running a race, and suppose...Problem 2.11STPE:
A 5-card hand is dealt from a well-shuffled deck of 52 playing cards. What is the probability that...Problem 2.12STPE:
A basketball team consists of 6 frontcourt and 4 backcourt players. If players are divided into...Problem 2.13STPE:
Suppose that a person chooses a letter at random from R E S E R V E and then chooses one at random...Problem 2.14STPE:
Prove Booles inequality P(i=1Ai)i=1P(Ai)Problem 2.15STPE:
Show that if P(Ai)=1 for all i1, then P(i=1Ai)=1.Problem 2.16STPE:
Let Tk(n) denote the number of partitions of the set {1,...,n} into k nonempty subsets, where 1kn....Problem 2.17STPE:
Five balls are randomly chosen, without replacement, from an urn that contains 5 red, 6 white, and 7...Problem 2.18STPE:
Four red, 8 blue, and 5 green balls are randomly arranged in a line. a. What is the probability that...Browse All Chapters of This Textbook
Chapter 1 - Combinatorial AnalysisChapter 2 - Axioms Of ProbabilityChapter 3 - Conditional Probability And IndependenceChapter 4 - Random VariablesChapter 5 - Continuous Random VariablesChapter 6 - Jointly Distributed Random VariablesChapter 7 - Properties Of ExpectationChapter 8 - Limit TheoremsChapter 9 - Additional Topics In ProbabilityChapter 10 - Simulation
Sample Solutions for this Textbook
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More Editions of This Book
Corresponding editions of this textbook are also available below:
EBK A FIRST COURSE IN PROBABILITY
9th Edition
ISBN: 9780321926678
A First Course In Probability
9th Edition
ISBN: 9789332519077
EBK A FIRST COURSE IN PROBABILITY
9th Edition
ISBN: 8220101467447
A First Course in Probability
9th Edition
ISBN: 9780321794772
A First Course In Probability
5th Edition
ISBN: 9780137463145
A First Course in Probability
8th Edition
ISBN: 9780136033134
A First Course In Probability, Global Edition
10th Edition
ISBN: 9781292269207
FIRST COURSE IN PROBABILITY (LOOSELEAF)
10th Edition
ISBN: 9780134753751
EBK FIRST COURSE IN PROBABILITY, A
10th Edition
ISBN: 9780134753676
EBK FIRST COURSE IN PROBABILITY, A
10th Edition
ISBN: 9780134753683
A Second Course in Probability
7th Edition
ISBN: 9780979570407
First Course In Probability, A (7th Edition)
7th Edition
ISBN: 9780131856622
A First Course In Probability (6th Edition)
6th Edition
ISBN: 9780130338518
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