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
etermine the probability of drawing a black card (clubs or spades) or and ace from a standard deck of card
etermine the probability of drawing a black card (clubs or spades) or and ace from a standard deck of card
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: What is the probability of rolling a 3 on a number cube and choosing a heart from a deck of cards?
A: Recall: P(A and B)=P(A∩B)=P(A)×P(B)
Q: card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace…
A: Total cards (T)= 52Heart cards (H)= 13Ace cards (A)= 4Heart and Ace cards (H and A)= 1
Q: William is playing cards. What is probability of pulling an 8 of spades, 10 of diamonds, or heart?
A: given data william play a card game select card at random. P(8 of spades,10of diamonds or heart…
Q: A box contains 5 red marbles, 6 white marbles, and 8 blue marbles. If a marble randomly selected…
A: Given that Red marble = 5 White marble = 6 Blue marble = 8 Total marble = 6 + 5 + 8 = 19
Q: Assume that 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with…
A: 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with replacement We have…
Q: One card is randomly selected from a deck of cards. Find the odds against drawing a black four.
A: There are 52 cards in the standard deck card. There are 26 black cards out of 52 cards that are from…
Q: A bag contains 9 metal balls, 10 hollow balls, 4 glass balls and 18 plastic balls. What is the…
A:
Q: what are the odds of getting 3 joker out of 6 cards in 2 decks of cards
A: Odds can be obtained using this formula:Odds = P/(1-P) where:P = probability Probability can be…
Q: what are the odds of getting 3 jacks out of 6 cards in 2 decks of cards
A: The objective of this question is to calculate the odds of drawing 3 jacks out of 6 cards from 2…
Q: From a set of bridge cards, 2 cards are drawn at random. What are the chances of getting an ace and…
A:
Q: A poker hand, consisting of 4 cards, is dealt from a standard deck of 52 cards. Find the probability…
A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…
Q: A five-card poker hand is dealt from a standard deck of cards. Find the probability of getting 2,…
A: There are 52 cards in a standard deck of cards. We can pick 5 cards from 52 cards in 52C5 ways.…
Q: what are the odds of getting 3 jokers out of 6 cards in 2 decks of cards
A: The objective of this question is to calculate the odds of drawing 3 jokers out of 6 cards from 2…
Q: Find the probability of pulling a king in a deck of cards (poker cards)?
A: Obtain the probability of pulling a king in a deck of cards. The probability of pulling a king in a…
Q: Billy selects some cards from a standard 52 card deck. What is the probability that he selects 1…
A: Given data: The total numbers of cards in the playing deck are n=52. The numbers of hearts are h=13.…
Q: A card is randomly selected from a standard deck of 52 playing cards. Find the probability that the…
A: The union probability for any two events A and B is defined as P(A ∪ B) = P(A) + P(B) – P(A ∩ B).
Q: A card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a King or…
A: Given: Number of cards in a deck= 52 Number of Kings = 4 Number of Queens = 4 Number of Jacks = 4
Q: Compute the probability of drawing the King of hearts or a Queen from a deck of cards.
A: Given information: Total numbers of cards in the deck = 52 cards Number of kings of hearts in the…
Q: Find the probability of drawing a spade, then a heart, then a diamond, and then a heart from a…
A: Total no. of cards in a deck=52No. of spade cards=13No. of heart cards=13No. of diamond cards=13
Q: What would the probability of selecting all 5 cards to be a Diamond or a Club
A: Combination Rule:The arrangement of r objects from n different objects is given by:
Q: Determine the probability of being dealt 4 of a kind in 5-card poker. With an explanation please.
A: Here we have to find the probability of being dealt 4 of a kind in 5 card…
Q: what is the probability of getting a 6 from one draw on a standard deck of cards
A: We know that Total number of cards = 52 Number of cards with 6 = 4
Q: dealt a club from a 52 card deck
A:
Q: In a poker hand consisting of 5 cards, find the probability of holding (a) 3 jacks; (b) 3 clubs and…
A: Given that ,In a poker hand consisting of 5 cards .We have to find the probability of holding(a) 3…
Q: Determine the probability of selecting all faculty and no administrators
A: Total=18 Faculty=10 Administration=8 Committee of 8 members P=? (All from faculty and no from…
Q: What is the probability of having 2 spades and 3 hearts from the deck of cards?
A: Given data2 spades3 heartsTotal spades in a deck of card = 13Total hearts in a deck of card =…
Q: A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor…
A:
Q: What is the probability of drawing a black card or an Ace from a standard deck of cards?
A: We know that There are 52 cards in the deck divided into two colour i.e red(26) and black (26).…
Question
Determine the
probability
of drawing a black card (clubs or spades) or and ace from a standard deck of cards
Transcribed Image Text:
P(black or ace)- 7/13 P(black or ace) - 1/2 P(black or ace) = 15/26 P(black or ace) = 3/4
Video Video
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
See solution
Check out a sample Q&A here
Step 1: Given Information:
VIEW
Step 2: Determine the required probability:
VIEW
Solution
VIEW
Step by step
Solved in 3 steps with 4 images
See solution
Check out a sample Q&A here
Knowledge Booster
Similar questions
arrow_back_ios
arrow_forward_ios
What is the probability of getting either a four or a five when drawing a single card from a deck of 52 cards?
arrow_forward
Compute the probability of drawing a King from a deck of cards, replacing the card, and then drawing a Queen.
arrow_forward
A card is drawn at random out of a well-shuffled deck of 52 cards. Find the probability of drawing a face card or ace.
arrow_forward
What is the probability of picking a face card given that the card is a Queen?
arrow_forward
A card is drawn and replaced four times from a deck of 52 cards. What is the probability of drawing 4 spades? (Enter your probability as a fraction.)
arrow_forward
Compute the probability of drawing a King or a heart from a deck of cards.
arrow_forward
A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting an ace.
arrow_forward
Find the probability that a card drawn at random from a well-shuffled deck is ace or jack?
arrow_forward
arrow_back_ios
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
