10 people at a concert are seated in row 2 and randomly assigned numbers 1-10. (a) What is the probability that Sarah, Miriam, and Esther have consecutive numbers? (b) What is the probability that David and Daniel do not have consecutive numbers?

10 people at a concert are seated in row 2 and randomly assigned numbers 1-10. (a) What is the probability that Sarah, Miriam, and Esther have consecutive numbers? (b) What is the probability that David and Daniel do not have consecutive numbers?

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

Related questions

Q: A bag contains 9 pennies, 6 nickels, and 5 dimes. If a coin is randomly selected from the bag, then…

A: We have given that, A bag contains, Pennies = 9 Nickels = 6 Dimes = 5 Total = 9+6+5 = 20 Then, We…

Q: how do I write the answer between 0 and 1? In a large school, it was found that 64% of students…

A: The objective of this question is to find the probability that a randomly selected student is taking…

Q: You own 17 CDs. You want to randomly arrange 6 of them in a CD rack. What is the probability that…

A: The total number of CDs. are n=17. The number of CDs. needs to arrange r=6

Q: I am baking brownies in a 9in x 9in square baking pan. When it comes time to decorate, I throw on…

A: We have to find given probability.

Q: A box has 34 orange hats and 13 yellow hats. If you pick 3 hats without replacemen

A: Given Data population size, N = 34+13 = 43 number of successes, m = 34 sample…

Q: You have 10 hats: 3 baseball hats, 2 cowboy hats, and the remaining are beach hats. You also have 3…

A: The objective of this question is to find the probability of choosing a beach hat and a white shirt…

Q: An urn contains 5 red, 6 blue, and 8 green balls. If a set of 3 balls is randomly selected, what is…

A: Farmula used nCr=n!/(r!(n-r)!) r!=r(r-1)(r-2)x...x3x2x1

Q: The glee club has 14 members. A quartet of four members must be chosen to sing at the university…

A: There are total 14 members We can pick any 4 members from 14 members in 14C4=1001 waysa) If Hannah…

Q: Suppose that you flip a fair coin 6 times in a row and record each results. We want to find the…

A: Here, the coin is tossed 6 times. Number of outcomes=2^6=64. a) The different number of outcomes is…

Q: A bag contains 4 Milky Way bars and 5 Snickers bars. Jerod picks a bar at random from the bag and…

A: Given information: A bag contains 4 Milky Way bars and 5 snickers bars. Total number of bars is…

Q: In a parking lot there are only white cars, green cars, and red cars. If one car is selected at…

A: in parking lot there are only white,green and red cars. select one car at random P(green) = 1/6…

Q: Haroldo, Xerxes, Regina, Shaindel, Murray, and Georgia are invited to a dinner party. They arrive…

A: Given data: The total number of guests invited to the party is n=6. The expression for the…

Q: In a statistics class of 35 students, there were 10 men and 25 women. Six of the men and seven of…

A: Note:Thank you for the question. As your question has more than 3 parts, according to our policy, we…

Q: Suppose you are going to form a committee of students and faculty. You have 12 total students and 24…

Q: Job interview: Eight people, named Anna, Bob, Chandra, Darlene, Ed, Frank, Gina, and Hank, will be…

A: Total number of people= 8 The probability of selecting a Gina for the interview can be calculated…

Q: n a certain college, 35% of the boys and 20% of the girls are studying mathematics. The girls…

Q: 7 total students and 20 total faculty to pick from. You want to have 10 total people on the…

A: Given data: Total number of students = 7 Total number of faculty = 20 Number of people to be…

Q: Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, and Georgia are invited to a dinner party. They…

A: Total number of members invited to a dinner party = 7So, the total possible number of ways of…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: peope probac ebrate their birthdays on the same month of th 0.23 0.57 0 64

A: As there exist 12 months in a year and there are 3 people in the room- all possible cases = 123 =…

Q: An opaque bag contains two types of marbles: blue and red. We draw two marbles from the bag without…

A: Answer:0.21 Explanation:The probability of getting a blue marble in the first draw is 64/138. Now, a…

Q: basket contains 7 yellow apples and 4 red apples. Margo picks two apples without looking. a. What…

Q: A senate committee consists of 5 Republicans, 6 Democrats, and 2 Independents. A subcommittee of 3…

A: a) There are 5 Republicans, 6 Democrats, and 2 Independents.

Q: Tickets are numbered from 1 to100. They are well shuffled and a ticket is drawn at random. Find the…

A: Given: The number of tickets is from 1 to 100.

Q: What is the probability if you randomly select a handful of 4 candy pieces you will pick one of each…

A: Solution: From the given information, there are 5 brown candy pieces, 7 blue candy pieces, 3 red…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 6 black balls, 7 orange…

A: There are 6 black balls, 7 orange balls are 7 red balls in the bag.

Q: Statistics grades: In a statistics class of 39 students, there were 11 men and 28 women. Three of…

Q: 100 Tickets are sold for a drawing and put into a hat. There are four prizes of $5000 each, and once…

A: The total number of ways in which the prizes can be awarded is the number of ways to choose 4…

Q: In the game of euchre, the deck consists of the 9, 10, jack, queen, king and ace of each suit.…

A: Given information- We have given a deck of cards. In a deck consist of 52 cards. It has 4 suits…

Q: A football team consists of 19 each freshmen and sophomores, 15 juniors, and 18 seniors. Four…

A: 19 freshmen, 19 sophomores, 15 juniors, 18 seniorsTotal=71

Q: In a certain college, 35% of the boys and 20% of the girls are studying mathematics. The girls…

Q: Each night in a family of four siblings, the parents randomly assign the order for the siblings to…

A: There are 4 siblings, so there are 4 factorial (4!) ways to arrange them in different orders.…

Q: You own 21 CDs. You want to randomly arrange 8 of them in a CD rack. What is the probability that…

A: @

Q: In the game of euchre, the deck consists of 9 , 10 , jack , queen , king and ace of each suit .…

A: Since there are 6 cards of each type, the total number of cards are 6x4=24Each player is dealt 5…

Question

10 people at a concert are seated in row 2 and randomly assigned numbers 1-10.

(a) What is the probability that Sarah, Miriam, and Esther have consecutive numbers?

(b) What is the probability that David and Daniel do not have consecutive numbers?

Video Video

Expert Solution

Step 1: Given information

10 people at a concert are seated in row 2 and randomly assigned numbers 1-10.

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A football team consists of 19 each freshmen and sophomores, 15 juniors, and 18 seniors. Four players are selected at random to serve as captains. Find the probability of the following. Enter your answers as fractions or as decimals rounded to 4 decimal places. (a)All 4 are seniors. P(4 seniors)=
Jason flips a coin and it lands on head. He flips the coin again. What is the probability that it will land on heads?
Harold,xerxes, Regina,shaindel,Murray,Norah and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that xeres arrives first and Regina arrives last?
40 Jennie's teacher told her to select two problems from a list of two C-level problems, five B-level problems, and one A-level problem. If she selected at random, what is the probability that she se- lected two B-level problems?
Create your own probability problem using a number cube. Classify your event and its compliment. Are the events mutually exclusive? Find the probability of the event occurring, its complement occurring, the event and its compliment occurring, and the event or its complement occurring.
n persons are seated on n chairs at a round table. Find the probability that two specified persons are sitting next to each other.
A jar contains 6 red marbles, 7 green marbles, and 7 blue marbles. What is the probability that you draw 3 green marbles in a row if you do replace the marbles after each draw? = What is the probability that you draw 8 blue marbles in a row if you don't replace the marbles after each draw? :
The digits 2, 3, 4, 5, 6, 7, and 8 are randomly arranged to form a three-digit number. (Digits are not repeated.) Find the probability that the number is even and greater than 800.
Suppose that you flip a fair coin 6 times in a row and record each results. We want to find the probability that you get both heads and tails.(a) How many different outcomes can you get?(b) How many different outcomes contain both heads and tails?(c) What is the probability that you got both heads and tails?
A quiz has five "Yes-No" questions. A student decided to randomly guess the answer to each question. (a) What is the probability that the students get exactly three questions correct? (b) Each question in the quiz is worth one point and the passing score of the quiz is three. What is the probability that the student passes the quiz?
n a large population, 60 % of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?Give your answer as a decimal (to at least 3 places) or fraction.