Answered: What is the probability that the first…

What is the probability that the first pencil case in this permutation is the blue one, given that the last pencil case in the permutation is the orange one?

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: In one of the games in the Statistics Games, a team of students is chosen from each instructor’s…

A: The number of students in blue section is 30.

Q: An undergraduate math course gives all the usual letter grades of A, B, C, D, or F. The department…

A: An undergraduate math course gives all the usual letter grades of A, B, C, D or F.

Q: third step. How many experimental outcomes exist for the entire experiment? How many ways can…

A: Answer:- Given, An experiment has three steps. Total possible outcomes for first step= 4 Total…

Q: A volleyball team has ten players. To play a game, 6 players are needed to play positions numbered…

A: No. of players in the volleyball teamNo. of players needed to playThe positions are numbered from…

Q: To go to the math department, a student takes the 49 bus, then the 68, or can decide for each bus…

A: ANSWER: a. The transition diagram associated with this process is as follows: yaml Copy code 4 -…

Q: There are 7 seniors on the high school soccer team. Two of them will be chosen to be co-captains.…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: Five friends have tickets next to each other in one row. If two of the friends must sit next to each…

A: Five friends have tickets next to each other in one row. Two of the friends must sit next to each…

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given, Number of males = 8 Number of females = 11 The objective is to find how many different…

Q: Suppose we want to choose 3 colors, without replacement, from the 4 colors red, blue, green, and…

A: It is given that there 4 colors red,blue,green and purple. and we need to choose 3 colors without…

Q: A take-out restaurant offers 6 different kinds of sushi. If they have exactly 4 pieces of eachkind…

A: Given: There are 6 different kinds of sushi, with exacctly 4 pieces of eachkind. To determine:…

Q: In a class consists of 18 students. An urn contains 1 blue and 17 red balls. Without replacement,…

A: Given: There are 18 students in the class and each students randomly pick up a ball from an urn…

Q: Draw an ordered stemplot of these scores: 22, 32, 34, 30, 28, 19, 26, 18, 19, 20. List the 'leaves'…

A: Ordered data x 18 19 19 20 22 26 28 30 32 34

Q: A die is rolled four times consecutively. Find the number of possible outcomes if the order of the…

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: There are 12 players on a basketball team. A starting line up consists of a selec ive players to…

Q: In a shipment of 59 vials, only 14 do not have hairline cracks. If you randomly select 2 vials from…

A: Given that Number of vials (n) = 59 Vials do not have hairline cracks = 14 Vials having hairline…

Q: For the purposes of this problem, suppose that the Bingo master chooses numbers with replacement. a.…

A: BINGO4273255731525415875826059707223354621317434867

Q: At an awards ceremony, ten women and eight men are each to receive an award and are to be presented…

A: Women=10Men=8Total=18

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

Q: An addictions researcher wants to see if male and female alcoholics differ in the type of alcohol…

A: Part a: We have two independent categorical variables gender (Male and Female) and the beverages…

Q: A box contains 10,000 tickets: 4,000 zeros and 6,000 ones. And 10,000 draws will be made at random…

A: As the draws are obtained without replacement, the population size decreases with each additional…

Q: A computer user has downloaded 23 songs using an online file-sharing program and wants to create a…

A: GivenNo.of downloaded songs(n)=23no.of songs to use in CD player(r)=8

Q: The numbers on a dice (a single dice) are covered by 6 different letters of the alphabet. Four of…

Q: There are 6 numbered balls in a bag. Each ball has a distinct number and the numbers are in {1,2, 3,…

A: Here given that there are 6 numbered balls in a bag. Each ball has a distinct number and the numbers…

Q: What is the probability that there will be at least 2 N's and exactly 4 B's in the first 12 numbers?…

A: BINGO4273255731525415875826O59707223354621317434867

Q: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…

A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…

Q: You are a professor of journalism and have 14 students in your class. How many ways can you line up…

A: Given,total no.of students=14

Q: A man just bought 6 suits, 11 shirts, and 15 ties. All of these suits, shirts, and ties coordinate…

A: Theory of Combination:

Q: a. The Bingo master starts a new round. What is the probability that the first 3 numbers will be…

A: BINGO4273255731525415875826059707223354621317434867

Q: A lottery will randomly choose a four digit number with the following procedure: 10 tiles each with…

A: Ten tiles numbered 0 to 9 are placed in a box. Four tiles are picked one by one to form a 4-digit…

Question

Ananya has 7 pencil cases, one for each day of the week. Each pencil case has a different color (blue, red, green, white, black, orange, purple), and thus the pencil cases are all distinguishable.

Ananya begins each week by choosing a permutation of the 7 pencil cases, uniformly at random, in order to decide the order in which she will use the pencil cases throughout the week (first pencil case on Sunday, second on Monday, ..., seventh on Saturday).

What is the probability that the first pencil case in this permutation is the blue one, given that the last pencil case in the permutation is the orange one?

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

An experiment is designed to see whether 3rd graders can write faster with a pen or pencil. Four third graders participate, 2 boys and 2 girls. For each child, a marble is drawn without replacement from a bucket containing 2 red marbles and 2 blue marbles. If a red marble is selected, the child gets a pen and if blue, the child gets a pencil. The children are assigned in this order: boy 1, girl 1, boy 2, girl 2. LetX be the number of boys assigned to a pen. Find E (X). Find SD(X). а. b.
A teacher had chooses 3 of 22 students to help clean the room after school. In How many ways can the students be selected?
You have one pile of 11 building blocks, each one a different color, and you also have another pile of 7 blocks, again each one a different color. How many ways are there to build a tower 4 blocks high from the first pile and another tower 3 blocks high from the second pile? Assume that the colors at each level of a tower matter.
You are burning a CD for your assignments. You have assignments of 15 different However, you want to put only 7 assignments on the CD. In how many orders can you 7 of the 15 assignments onto the CD?
Typed plzz Asap
A certain car dealership sells two models of cars: Model S and Model V. Model S comes in 8 different colors and has 4 types of wheels available. Model V comes in 4 different colors and has 2 types of wheels available. How many different ways could you choose a single car from this dealership?
A shoe company wants to test an updated model of a running shoe on its wear after one month of running. Which of the following describes a matched pairs design? They recruit 50 people who run on a regular basis to participate in their study. They will have the runners wear the shoes when they run for two months. After two O The subjects are numbered 1-50, and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the original model. months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The subjects' names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be…
A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?
Team Jet has 7 members who won a school competition. Of these 7, 4 members are randomly picked to receive prizes for winning. The 1st member selected wins a $50 gift card; the 2nd person selected wins a $25 gift card; the 3rd person selected wins a $10 gift card; the 4th person selected wins a $5 gift card.The names of Team Jet's members are represented by the first letter of their first names, as displayed in the following table: Name Frank Gina Harriet Inez Jakob Keven Liu Letter F G H I J K L In the box below, complete the remaining three rows of the list that models how to calculate the number of possible ways 4 team members can be selected to win the prizes.1) F G H I J K L Let Lui win the 1st prize, so select L.2) _________ _____________________________3) _________ _____________________________ 4) _________ _____________________________