You are given the set of letters {A, B, C, D, E}. What is the probability that in a randomfive-letter string (in which each letter appears exactly once, and with all such stringsequally likely) the letters A and B are next to each other?

here given that there are total 5 letters in set. so here total possible string of length 5 = 5!

Answered: You are given the set of letters {A, B,…

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

There are 7 councilors in the Ames City council. Three of them are female. Suppose they need to select two councilors for a committee. Which expression is computing the probability that if both councilors are selected at random, both will be female? a. None of the other answers is correct. b. 2C3 / 2C7 c. 3/7 d. None of the other answers is correct. e. 3C2 / 7C2 f. 3C2 / 7C3
Eli has a jar full of marbles. In the jar there are 1818 blue marbles, 1010 red marbles and 1111 purple marbles. a. She selects a marble at random from the jar. She does not replace the marble. She selects a second marble from the jar. What is the probability that the second marble is red given that the 1st marble was also red? What is the correct interpretation of this question?
A person has two drawers that contain socks. One drawer only has one blue sock, one red sock and one white sock in it. The other drawer only has one blue sock, one black sock, one white sock, one green sock and one yellow sock in it. (no drawer has a pair of matching socks.) One day the person decided to randomly pick one sock out of each drawer. a. List the possible selectons they can get. b. Find the probability that they will select a a pair of matching socks. c. Find the probability that their selection will contain a red sock or a green sock.
Fred has 4 place settings consisting of a dinner plate, a salad plate, and a bowl. Each setting is a different color. If Fred randomly selects a dinner plate, a salad plate, and a bowl, what is the probability that they all have different colors? The probability is
Tom has a standard set of pool balls. If he were to draw one ball at random, what is the probability that it will be red or yellow? Give your answer in its simplest form.
two hundred people apply for two jobs. 60 of the applicants Are women. If two persons are selected at random, what is the probability that only one is a man
An hat contains 169 slips of paper. 27 of these are Blue; the rest are Pink. Two slips are selected at random from the hat. If the selection is made with replacement (the first slip is put back into the hat before drawing the second slip), the probability that both slips are Blue is
Ernie has a bag of candy that contains 8 peppermint patties and 12 caramels. If he reaches into the bag and pulls out one bar and then a second bar at random, what is the probability that they will both be peppermint patties? O 2/3 2/5 7/19 O 14/95
There are 40 pairs of gloves in Bills’ glove basket, but the 80 individual gloves are completely mixed up.a. If 20 gloves are randomly selected, find the probability they include Bills’ favorite pair of gloves.b. If 20 gloves are randomly selected, what is the probability that at most one glove from each of the40 pairs will be picked? (Remember, a left glove is different from a right glove.)
b and c
Five people, designated as A,AB,C,D,E are arranged in linear order. Assuming that each possible order is equally likely, what is the probability that there are exactly two people between A and B?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

You are given the set of letters {A, B, C, D, E}. What is the probability that in a random five-letter string (in which each letter appears exactly once, and with all such strings equally likely) the letters A and B are next to each other?