(iv)Consider the arrangements in a line of all the letters of the word ISOLATION .(a)Calculate how many different arrangements are possible.(b)If one of these arrangements is chosen at random, find the probability that thechosen arrangement does not have the two letters O next to each other.

Here, the given word is ISOLATION which has 2 Is and 2 Os.

Answered: (iv) Consider the arrangements in a…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Suppose you have four (4) boxes each of which contains six (6) balls: a red ball, a blue ball, a green ball, a purple ball, a yellow ball and a pink ball. If you draw a ball at random from each box what is the probability that: there are no balls of the same colour either the first ball or last ball or both are green the colour of the first ball is the same as the fourth ball AND the colour of the second ball is the same as the third ball e.g. red, green, green, red. For each of these questions explain your answer i.e., show your reasoning.
From a group of 11 people, you randomly select 5 of them.What is the probability that they are the 5 oldest people in the group?
A deck consists of playing cards that can have one of 16 suits and one of 5 ranks. A hand is a set of five cards randomly selected from the deck. How many hands are a four of a kind (four cards with the same rank but different suits, and a fifth card that is a different rank from the other four)? What is the probability of the hand being a four of a kind?
A shipment contains 12 igneous, 10 sedimentary, and 10 metamorphic rocks. If 5 rocks are selected at random, find the probability that exactly 3 are sedimentary. The probability that exactly 3 of the rocks are sedimentary is (Round to four decimal places as needed.)
A math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment. Compute the probability that three females are selected. Probability of first student being a female = (as a fraction) Probability of second student being a female = (as a fraction) Probability of third student being a female = (as a fraction) Probability that three females are selected = (as a decimal rounded to the nearest thousandth)
A subcommittee is to be selected from a committee of men and women. For this problem, assume that there are 8 men and 5 women on the committee, and that a subcommittee of 3 is selected at random. What is the probability that all are male given that all are the same sex?

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

(iv) Consider the arrangements in a line of all the letters of the word ISOLATION (a) Calculate how many different arrangements are possible. (b) If one of these arrangements is chosen at random, find the probability that the chosen arrangement does not have the two letters O next to each other.