There are eight seats at a rectangular table - three on each of the longer sides and one on each of the shorter sides. Six adults and two children sit around the table, with each seating configuration equally likely. What is the probability that the two children will end up seating next to each other on one of the longer sides of the table?

There are eight seats at a rectangular table - three on each of the longer sides and one on each of the shorter sides. Six adults and two children sit around the table, with each seating configuration equally likely. What is the probability that the two children will end up seating next to each other on one of the longer sides of the table?

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

Similar questions

You are taking a multiple-choice quiz that consists of 10 questions. Each question has 5possible answers, only one of which is correct. To complete the quiz, you randomly guess theanswer to each question. Find the probability of guessing at least three answers correctly.
Richard has been given a 6-question multiple-choice quiz in his history class. Each question has three answers, of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. Assuming that Richard guesses on all 6 questions, find the probability that he will answer all questions incorrectly. Round your answer to the nearest thousandth.
Karey has three movie choices. She can choose between a comedy, a drama, or a thriller. She will want a snack as well. Her choices are popcorn, nachos & cheese, potato chips, or peanuts. What is the probability that she will watch a thriller and eat popcorn?
A group of four women and six men must select a five-person committee. Find the probability of getting a committee of three women and two men. Find the probability of getting a committee of one woman and four men.
A multiple-choice test consists of 5 questions, each question with 4 possible responses(A, B, C, D). A student guesses on each question. Find the probability that the student will guess correctly on at least 1 question.
A student takes a multiple choice test that has 10 questions. Each question has five choices. The student guesses randomly at each answer. Find the probability that more than four of them fail the test.
A bag of marbles contains 4 red, 3 blue, 2 green and 1 yellow marble. Half of the red and green marbles are glass, and all of the other marbles are polished stone. What is the probability of selecting: Add the colors together to determine how many marbles are in the bag. This will become the right side of the answer. Determine how many marbles exactly fit the specified criteria to find the left side. Remember to reduce if necessary. A yellow stone marble: Ratio: ____ : ____ A blue or green stone marble: Ratio: _____ : _____ Two red marbles in a row without replacement: Ratio: _____ : _____ Three glass marbles in a row with replacement: Ratio: _____ : _____
Find the indicated probability. A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly?
You're taking a multiple choice exam. There are 10 questions, and for each question you select exactly one of 2 possible answers. If you choose random answers for each question, what is the probability that you will answer exactly 2 questions correctly?
A student randomly guesses at 7 multiple choice questions. Each question has five possible answers. What is the probability that the student gets exactly 3 correct answers?
A bag of marbles contains 4 red, 3 blue, 2 green and 1 yellow marble. Half of the red and green marbles are glass, and all of the other marbles are polished stone. What is the probability of selecting: Add the colors together to determine how many marbles are in the bag. This will become the right side of the answer. Determine how many marbles exactly fit the specified criteria to find the left side. Remember to reduce if necessary. A yellow stone marble: ____ : ____ A blue or green stone marble: _____ : _____ Two red marbles in a row without replacement: _____ : _____ Three glass marbles in a row with replacement: _____ : _____
You draw one card from a 52 card deck. Find the probability of drawing a queen or a red card.