10 students are in a row and randomly assigned numbers 1-10. (a) What is the probability that Anna, Nana, and Hannah have consecutive numbers? (b) What is the probability that Lily and Lola do NOT have consecutive numbers?

10 students are in a row and randomly assigned numbers 1-10. (a) What is the probability that Anna, Nana, and Hannah have consecutive numbers? (b) What is the probability that Lily and Lola do NOT have consecutive numbers?

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...

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Question

10 students are in a row and randomly assigned numbers 1-10.

(a) What is the probability that Anna, Nana, and Hannah have consecutive numbers?

(b) What is the probability that Lily and Lola do NOT have consecutive numbers?

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Expert Solution

Step 1: Introduction to the given problem

10 students are in a row and randomly assigned numbers 1 - 10.

We are asked to find,

(a) the probability that Anna, Nana, and Hannah have consecutive numbers.

(b) the probability that Lily and Lola do NOT have consecutive numbers

We know the number of ways to arrange 10 students in a row is 10!

Step by step

Solved in 4 steps with 2 images

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