A director needs 5 students to fill roles in her performance. 8 students, including Justin and Emma, are available to participate. Assuming the roles are filled at random from the available students, find the probability that both Justin and Emma are placed in roles given that at least one of them has a role in the performance. Choose from the following answers: 6/25 3/25 None are correct 4/5 3/250 2/5

A director needs 5 students to fill roles in her performance. 8 students, including Justin and Emma, are available to participate. Assuming the roles are filled at random from the available students, find the probability that both Justin and Emma are placed in roles given that at least one of them has a role in the performance. Choose from the following answers: 6/25 3/25 None are correct 4/5 3/250 2/5

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 committee of 3 people is to be randomly selected from a group of 8 people, including Sarah.…

A: To Determine: The probability that Sarah is selected to be on the three-person committee.

Q: golf ball is selected at random from a golf bag. If the golf bag contains 8 black balls, 11 yellow…

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: A friend shares a new playlist of 14 songs with you. The playlist has 2 rock song, 5 pop songs, 5…

A: From the given information, there are 14 songs. There are, 2 rock songs 5 pop songs 5 rap songs…

Q: If the probability of Ali and Hamad winning in a competition is 0.37 and the probability of losing…

A: It is given that the probability of Ali and Hamad winning in a competition is 0.37 i.e. P(Ali and…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: A quiz consists of 2 true-false questions and 4 multiple-choice questions (each with 4 choices with…

A: Given data Quiz consists of 2 true-false questions 4 multiple-choice questions Total question = 2+4…

Q: Three people are selected randomly from a group consisting of 5 parents and 9 children. Find the…

A: Ans# - Given three people are selected randomly from a group consisting of 5 parents and 9 children.…

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

Q: yellow Labrador retrievers. If 8 puppies are selected at random, determine the probability they are…

A: Given Total number of puppies=20

Q: The probability that a person in the United States has type B+ blood is 8%. Five unrelated people…

Q: In a large population, 59% of the people have been vaccinated. If 3 people are randomly selected,…

A: n=3,p=59%=0.59X~Binomial(n=3,p=0.59)Let X be the number of person have been vaccinated.p be the…

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: The actual cards “Will Bill” Hickok was holding when he was shot were the aces of spades and clubs,…

A: Introduction: A standard deck has 52 cards.

Q: You have a homework assignment that contains 12 questions. Your instructor will grade a set of 5…

A: Given: Total number of questions, n = 12 5 questions would be graded Part 1: The total…

Q: A grocery store had 10 cartons of milk, 2 of which are strawberry flavored. If you are going to buy…

A: Given A grocery store had 10 cartons of milk, 2 of which are strawberry flavored. If you are going…

Q: A group of people were asked if Marilyn Monroe had an affair with JFK. 316 responded "yes", and 366…

Q: Eric teaches ceramics in his studio. He estimates that one 20% people who call for information about…

A: Here we need to find the required probability using the binomial distribution.

Q: The probability that a person in the US has type B positive blood is 10%. Three unrelated people in…

A: Given that the probability that a person in the US has type B positive blood is 10% = 0.10 So…

Question

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: INTRODUCTION

VIEW

Step 2: CALCULATION

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A cooler contains 100 ice cream bars. There are 30 Vanilla bars, 20 Mint Chocolate Chip bars,10 Chocolate bars, and 40 Rocky Road bars. If one bar is selected at random from the cooler, determine the probability that the bar selected is Vanilla, Chocolate, or Rocky Road.
A golf ball is selected at random from a golf bag. If the golf bag contains 8 yellow balls, 6 brown balls, and 6 black balls, find the probability of the following event. The golf ball is yellow or brown.
In a group of 78 people; 24 drink tea and 31 drink coffee. Find the probability that a person picked from this group at random is either tea or coffee drinker?
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?
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.
The probability that Gene will win quiz bee contest is 36% and the probability that Jem will win in the same contest is 29%. Find the probability that,a. either Gene or Jem will win.b. Neither gene nor Jem will win. (complement of letter a)
At bedtime, you read three books to your kids, Walker, Michael, and Luke. Together, they have 32 books. If you decide to randomly choose three books, what is the probability that the three you choose will consist of each of their favorite books? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
A golf ball is selected at random from a golf bag. If the golf bag contains 8 yellow balls, 13 red balls, and 3 green balls, find the probability of the following event. The golf ball is yellow or red.
A golf ball is selected at random from a golf bag. If the golf bag contains 12 brown balls, 9 yellow balls, and 3 orange balls, find the probability of the following event. The golf ball is brown or yellow.
Larry and Curly decide to have a chess match. The probability of Larry winning is 0.4. Each time Larry wins, he gains confidence and the probability of winning the next game increases by 0.1. Each time he loses, his confidence goes down and his probability of winning the next game decreases by 0.05. Determine the probability that in a three game match Larry wins at least two games. please write clearly thank you.