Skip to main content
close
Homework Help is Here – Start Your Trial Now!
arrow_forward
Literature guides
Concept explainers
Writing guide
Popular textbooks
Popular high school textbooks
Popular Q&A
Business
Accounting
Business Law
Economics
Finance
Leadership
Management
Marketing
Operations Management
Engineering
AI and Machine Learning
Bioengineering
Chemical Engineering
Civil Engineering
Computer Engineering
Computer Science
Cybersecurity
Data Structures and Algorithms
Electrical Engineering
Mechanical Engineering
Language
Spanish
Math
Advanced Math
Algebra
Calculus
Geometry
Probability
Statistics
Trigonometry
Science
Advanced Physics
Anatomy and Physiology
Biochemistry
Biology
Chemistry
Earth Science
Health & Nutrition
Health Science
Nursing
Physics
Social Science
Anthropology
Geography
History
Political Science
Psychology
Sociology
learn
writing tools
expand_more
plus
study resources
expand_more
Log In
Sign Up
expand_more
menu
SEARCH
Homework help starts here!
ASK AN EXPERT
ASK
Math
Probability
could u answer the second one please
could u answer the second one please
BUY
A First Course in Probability (10th Edition)
10th Edition
ISBN:
9780134753119
Author: Sheldon Ross
Publisher:
PEARSON
expand_less
1 Combinatorial Analysis
2 Axioms Of Probability
3 Conditional Probability And Independence
4 Random Variables
5 Continuous Random Variables
6 Jointly Distributed Random Variables
7 Properties Of Expectation
8 Limit Theorems
9 Additional Topics In Probability
10 Simulation
expand_more
Chapter Questions
expand_more
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Problem 1.2P: How many outcome sequences are possible ten a die is rolled four times, where we say, for instance,...
Problem 1.3P: Twenty workers are to be assigned to 20 different jobs, one to each job. How many different...
Problem 1.4P: John, Jim, Jay, and Jack have formed a band consisting of 4 instruments if each of the boys can play...
Problem 1.5P: For years, telephone area codes in the United States and Canada consisted of a sequence of three...
Problem 1.6P: A well-known nursery rhyme starts as follows: As I was going to St. Ives I met a man with 7 wives....
Problem 1.7P: a. In how many ways can 3 boys and 3 girls sit in a row? b. In how many ways can 3 boys and 3 girls...
Problem 1.8P: When all letters are used, how many different letter arrangements can be made from the letters a....
Problem 1.9P: A child has 12 blocks, of which 6 are black, 4 are red, 1 is white, and 1 is blue. If the child puts...
Problem 1.10P: In how many ways can 8 people be seated in a row if a. there are no restrictions on the seating...
Problem 1.11P: In how many ways can 3 novels. 2 mathematics books, and 1 chemistry book be arranged on a bookshelf...
Problem 1.12P: How many 3 digit numbers zyz, with x, y, z all ranging from 0 to9 have at least 2 of their digits...
Problem 1.13P: How many different letter permutations, of any length, can be made using the letters M 0 T T 0. (For...
Problem 1.14P: Five separate awards (best scholarship, best leadership qualities, and so on) are to be presented to...
Problem 1.15P: Consider a group of 20 people. If everyone shakes hands with everyone else, how many handshakes take...
Problem 1.16P: How many 5-card poker hands are there?
Problem 1.17P: A dance class consists of 22 students, of which 10 are women and 12 are men. If 5 men and 5 women...
Problem 1.18P: A student has to sell 2 books from a collection of 6 math, 7 science, and 4 economics books. How...
Problem 1.19P: Seven different gifts are to be distributed among 10 children. How many distinct results are...
Problem 1.20P: A committee of 7, consisting of 2 Republicans, 2 Democrats, and 3 Independents, is to be chosen from...
Problem 1.21P: From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How...
Problem 1.22P: A person has 8 friends, of whom S will be invited to a party. a. How many choices are there if 2 of...
Problem 1.23P: Consider the grid of points shown at the top of the next column. Suppose that, starting at the point...
Problem 1.24P: In Problem 23, how many different paths are there from A to B that go through the point circled in...
Problem 1.25P: A psychology laboratory conducting dream research contains 3 rooms, with 2 beds in each room. If 3...
Problem 1.26P: Show k=0n(nk)2k=3n Simplify k=0n(nk)xk
Problem 1.27P: Expand (3x2+y)5.
Problem 1.28P: The game of bridge is played by 4 players, each of w1om is dealt 13 cards. How many bridge deals are...
Problem 1.29P: Expand (x1+2x2+3x3)4.
Problem 1.30P: If 12 people are to be divided into 3 committees of respective sizes 3, 4, and 5, how many divisions...
Problem 1.31P: If 8 new teachers are to be divided among 4 schools, how many divisions are possible? What if each...
Problem 1.32P: Ten weight lifters are competing in a team weight-lifting contest. Of the lifters, 3 are from the...
Problem 1.33P: Delegates from 10 countries, including Russia, France, England, and the United States, are to be...
Problem 1.34P: If 8 identical blackboards are to be divided among 4 schools, how many divisions are possible? How...
Problem 1.35P: An elevator starts at the basement with 8 people (not including the elevator operator) and...
Problem 1.36P: We have 520.000 that must be invested among 4 possible opportunities. Each investment must be...
Problem 1.37P: Suppose that 10 fish are caught at a lake that contains 5 distinct types of fish. a. How many...
Problem 1.1TE: Prove the generalized version of the basic counting principle.
Problem 1.2TE: Two experiments are to be performed. The first can result in any one of m possible outcomes. If the...
Problem 1.3TE: In how many ways can r objects be selected from a set of n objects if the order of selection is...
Problem 1.4TE: There are (nr) different linear arrangements of n balls of which r are black and nr are white. Give...
Problem 1.5TE: Determine the number of vectors (x1,...,xn), such that each x1 is either 0 or 1 andi=1nxiK
Problem 1.6TE: How many vectors x1,...,xk are there for which each xi is a positive integer such that1xin and...
Problem 1.7TE: Give an analytic proof of Equation (4.1).
Problem 1.8TE: Prove that (n+mr)=(n0)(mr)+(n1)(mr1)+...+(nr)(m0) Hint: Consider a group of n men and m women. How...
Problem 1.9TE: Use Theoretical Exercise 8 I to prove that (2nn)=k=0n(nk)2
Problem 1.10TE: From a group of n people, suppose that we want to choose a committee of k,kn, one of whom is to be...
Problem 1.11TE: The following identity is known as Fermats combinatorial identity:(nk)=i=kn(i1k1)nk Give a...
Problem 1.12TE: Consider the following combinatorial identity: k=0nk(nk)=n2n1 a. Present a combinatorial argument...
Problem 1.13TE: Show that, for n0 ,i=0n(1)i(ni)=0 Hint: Use the binomial theorem.
Problem 1.14TE: From a set of n people, a committee of size j is to be chosen, and from this committee, a...
Problem 1.15TE: Let Hn(n) be the number of vectors x1,...,xk for which each xi is a positive integer satisfying 1xin...
Problem 1.16TE: Consider a tournament of n contestants in which the outcome is an ordering of these contestants,...
Problem 1.17TE: Present a combinatorial explanation of why (nr)=(nr,nr)
Problem 1.18TE: Argue that(nn1,n2,...,nr)=(n1n11,n2,...,nr)+(nn1,n21,...,nr)+...+(nn1,n2,...,nr1) Hint: Use an...
Problem 1.19TE: Prove the multinomial theorem.
Problem 1.20TE: In how many ways can n identical balls be distributed into r urns so that the ith urn contains at...
Problem 1.21TE: Argue that there are exactly (rk)(n1nr+k) solutions of x1+x2+...+xr=n for which exactly k of the xi...
Problem 1.22TE
Problem 1.23TE: Determine the number of vectors (xi,...,xn) such that each xi, is a nonnegative integer and i=1nxik.
Problem 1.1STPE: How many different linear arrangements are there of the letters A, B, C, D, E, F for which a. A and...
Problem 1.2STPE: If 4 Americans, 3 French people, and 3 British people are to be seated in a row, how many seating...
Problem 1.3STPE: A president. treasurer, and secretary. all different, are to be chosen from a club onsisting of 10...
Problem 1.4STPE: A student is to answer 7 out of 10 questions in an examination. How many choices has she? How many...
Problem 1.5STPE: In how many ways can a man divide 7 gifts among his 3 children if the eldest is to receive 3 gifts...
Problem 1.6STPE: How many different 7-place license plates are possible mien 3 of the entries are letters and 4 are...
Problem 1.7STPE: Give a combinatorial explanation of the identity(nr)=(nnr)
Problem 1.8STPE: Consider n-digit numbers where each digit is one of the 10 integers 0,1, ... ,9. How many such...
Problem 1.9STPE: Consider three classes, each consisting of n students. From this group of 3n students, a group of 3...
Problem 1.10STPE: How many 5-digit numbers can be formed from the integers 1,2,... ,9 if no digit can appear more than...
Problem 1.11STPE: From 10 married couples, we want to select a group of 6 people that is not allowed to contain a...
Problem 1.12STPE: A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. If the...
Problem 1.13STPE: An art collection on auction consisted of 4 Dalis, 5 van Goghs. and 6 Picassos, At the auction were...
Problem 1.14STPE
Problem 1.15STPE: A total of n students are enrolled in a review course for the actuarial examination in probability....
Problem 1.16STPE
Problem 1.17STPE: Give an analytic verification of (n2)=(k2)+k(nk)+(n+k2),1kn. Now, give a combinatorial argument for...
Problem 1.18STPE: In a certain community, there are 3 families consisting of a single parent and 1 child, 3 families...
Problem 1.19STPE: If there are no restrictions on where the digits and letters are placed, how many 8-place license...
Problem 1.20STPE: Verify the identityx1+...+xr=n,xi0n!x1!x2!...xr!=rn a. by a combinatorial argument that first notes...
Problem 1.21STPE: Simplify n(n2)+(n3)...+(1)n+1(nn)
format_list_bulleted
See similar textbooks
Related questions
Q: Use the sum-to-product identity to find an expression that is equivelentto cust 15)- cos(5ØL Frovide…
A: Use sum product identity to find the expression.
Q: I need help with number 19
A: please stop posting these king of questions and misleading others Explanation:Step 1:post your…
Q: Pls help ASAP on all asked questions
A: Recall the following form of sinusoidal function:f(x)=Asin(T2πx) Where:A is the amplitudeT is the…
Q: could you type the answer out
A: Find the velocity and acceleration vectors in terms of and and where is costant. We know that…
Q: find the value of x 96 to
A:
Q: Find x. * 15 6,
A:
Q: answer the ones with an x please
A: given that n=1000 p=0.02
Q: Find aly if and of to
A: Differentiation
Q: Find
A:
Q: only one answer is correct
A:
Q: Pls help ASAP on all asked questions
A:
Q: de de
A:
Q: Evaluate. xp
A:
Q: Pls help ASAP on all asked questions
A: Step 1:Step 2:
Q: Pls help ASAP on all asked questions
A: To determine the solutions to the equation cot2x=5−3cotx for 0≤x≤2π, we first let u=cotx.…
Q: Pls help ASAP on all asked questions
A: To sketch the graph of (y=4sin(2x+π)−3) and list five points within one cycle, we need to understand…
Question
could u answer the second one please
Expert Solution
arrow_forward
Step 1: Probability axiom is proved.
Step by step
Solved in 3 steps with 2 images
See solution
Check out a sample Q&A here
Knowledge Booster
Similar questions
arrow_back_ios
arrow_forward_ios
Pls help ASAP on all asked questions
arrow_forward
Please have someone else check if this answer is right
arrow_forward
Pls help ASAP on all asked questions
arrow_forward
fire³ dr = [
arrow_forward
Please explain
arrow_forward
can you answer f and h please
arrow_forward
Pls help ASAP on all asked questions
arrow_forward
Both please
arrow_forward
I need help with j through p please
arrow_forward
I need help with 11
arrow_forward
Show all the work please.
arrow_forward
write only using pusitive cxponcnts X-3 My dung -5
arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON
SEE MORE TEXTBOOKS
