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: Assume that you select 4 coins at random from 11 coins: 5 dimes and 6 quarters. What is the…

A: It is been asked to find the probability that all of the coins selected are dimes using the given…

Q: In a large population, 66 % of the people have been vaccinated. If 3 people are randomly selected,…

Q: aster randomly selects four singers from the choir to be interviewed by a newspaper. Find the…

A: Given: Number of boys=9Number of girls=15Total number of singers=15+9=24 The given probability can…

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: You want to randomly arrange 4 discs in a CD rack. What is the probability that the rack ends up in…

A: We can arrange 4 CDs in a rack in 4!=24 waysWe can arrange them in alphabetical order in only one…

Q: In a large population, 61 % of the people have been vaccinated. If 3 people are randomly selected,…

A: p(vaccinated) = p = 0.61 ∴ p(not vaccinated) = 1 - 0.61 = 0.39 select 3 people at random p(atleast…

Q: In a large population, 56 % of the people have been vaccinated. If 5 people are randomly selected,…

A: given data, p( vaccinated)=p =0.56n=5q=1-p=1-0.56=0.44x= no. of vaccinated

Q: A bag contains 3 gold marbles, 10 silver marbles, and 25 black marbles. You randomly select one…

A: There are 3 gold marbles, 10 silver marbles, and 25 black marbles in the bag.

Q: At a hot air balloon festival, Brooke made note of how many passengers were in each balloon and the…

A: Given, Blue Yellow TOTALS 1 passenger 2 1 3 2 passenger 4 6 10 TOTALS 6 7 13

Q: What is the probability that at least four of the next 5 cars get a green light

A: It is given that Green light = 40 seconds Red light = 15 seconds Yellow light = 5 seconds

Q: At a hot air balloon festival, Chandler made note of how many passengers were in each balloon and…

Q: Suppose that you have 9 coins: 3 dimes, 4 quarters, and 2 nickels. Two coins are selected at random.…

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: A game show has 5 doors concealing prizes. There are new cars behind 2 doors and consolation prizes…

Q: In a large population, 51 % of the people have been vaccinated. If 4 people are randomly selected,…

Q: An experiment consists of randomly drawing one marble from a bag containing 7 purple, 4 blue, and 3…

A: Given: The bag contains: 7 purple marbles. 4 blue marbles. 3 green marbles.

Q: In a large population, 52 % of the people have been vaccinated. If 3 people are randomly selected,…

A: P(vaccinated) =p = 0.52 P(not vaccinated) = 1-0.52 = 0.48

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: suppose you have 6 tennis balls and you randomly pick some number of them. What is the probability…

A: Given: There are 6 tennis balls. You randomly select some number of balls. Required: To find the…

Q: 322 chickens on a farm lay brown eggs and 326 chickens on the farm lay white eggs. If a chicken is…

A: The total number of outcomes is 322+326 =648. The number of favourable outcomes is 326.

Q: nd color. Three are jelly-filled, 6 are lemon-filled, and 15 are custard-filled. You randomly select…

A: It is given that Jelly-filled = 3Lemon-filled = 6Custard-filled = 15Total donut = 24

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: 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: In a large population, 70% of the people have been vaccinated. If 4 people are randomly selected,…

Q: sea has five nickels, three dimes, and seven pennies in his pocket. If he randomly Ks 2 coins…

A: To find the probability of Hosea choosing a nickel then a penny.

Q: Teed Off When four golfers are about to begin a game, they often toss a tee to randomly select the…

A: Factorial Rule:The total number of ways n different objects can be arranged where order of the…

Q: A bag contains 1 gold marbles, 6 silver marbles, and 30 black marbles. You randomly select one…

Q: What's the probability that his 10th roll will not be a six?

A: Tom is playing a board game. He has rolled a six nine times in a row Here probability of getting…

Q: A chest of pirate treasure has 8 fake coins, 6 plastic jewels, 5 painted stink bombs, and 2…

A: Here we have to find the probability.

Q: To perform during the improvisation section of their concert, the director of the school jazz band…

Q: A box contains 5 apples and 6 oranges. Four children each receive a fruit from the box, one after…

A: Given: Number of apples=5 Number of oranges=6 Total number of fruits=11 The objective is to find the…

Q: Suppose that you have 7 coins: 3 dimes, 3 quarters, and 1 nickels. Two coins are selected at random.…

Q: Pamela has a box that contains five books of fiction, eight books of humor, seven books of plays and…

A: Radio frequency identification (RFID) has the potential to have a significant impact on library…

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?

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: Answer and Explanation

VIEW

Solution

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

You own 21 CDs. You want to randomly arrange 8 of them in a CD rack. What is the probability that the rack ends up in alphabetical order? The probability that the CDs are in alphabetical order is
A class consists of 18 boys and 16 girls. The teacher will randomly choose three students to be on a special committee. What is the probability that more girls are on the committee than boys?
You own 17 CDs. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetical order?
In a large population, 68 % of the people have been vaccinated. If 3 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.
You have five 1-cents, two 10-cents, four 25-cents, and three 50-cents coins. What is the probability that those stacked coins are arranged in descending order?
Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color. Four are jelly-filled, 6 are lemon-filled, and 14 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting a lemon-filled donut followed by a custard-filled donut. (Type an integer or a simplified fraction.) www
A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose 3 tiles from the bag without looking. What is the probability that you choose the tiles with the letters A, B, and C? Enter your final answer as a fraction in simplest form.
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?
You own 11 CDs. You want to randomly arrange 10 of them in a CD rack. What is the probability that the rack ends up in alphabetical order? Be sure to leave your answer as a fraction in order to earn credit. There is a up in alphabetical order. probability that the rack ends
Suppose that you have 10 coins: 3 dimes, 3 quarters, and 4 nickels. Two coins are selected at random. What is the probability that you choose exactly 30 coins?
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.