Question: (a) If N people, including A and B, are randomly arranged in a line, what is the probability that A and B are next to

(a) If N people, including A and B, are randomly arranged in a line, what is the probability that A and B are next to each other?
(b) What would the probability be if the people were randomly arranged in a circle?

Step by Step Solution

★★★★★

3.45 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a 2n 1n 2 n 2 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

588-M-S-P (3743).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

A total of 30 bears-consisting of 10 red bears, 10yellow bears, and 10 blue bears-are randomly arranged in a bucket. A child begins grabbing the bears at random, with all selections equally likely....

If n people are seated in a random manner in a row containing 2n seats, what is the probability that no two people will occupy adjacent seats?

If n people enter a room, find these probabilities: A: None of the people have the same birthday B: At least two of the people have the same birthday Solve for a. n = 3 b. n = 4

The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of I" ounces. 31 randomly selected people are surveyed. Round all answers to 4...

Need help answering the question below: g) 35 % of people is blood tyre A .) Suppose 250 people selected from large population randomly . fine mean and standard deviation of this binomial...

Us Question 2 les [ 0.71/1 pt 9 2 99 Score on last try: 0.71 of 1 pts. See Details for more. oom > Next question Get a similar question |You can retry this question below The average amount of money...

Can you help me under the C. and D. Formula? I am not sure what I am doing wrong. Thank you ! > Next question Get a similar question You can retry this question below A company produces steel rods....

1 2.3 Definition of a Discrete Probability Function Definition: Let S be a discrete sample space from some experiment. A function P, defined on all events in S, is said to be a probability function...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Math 533. Question 1: A national standard requires that public bridge over 200 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0 (poorest rating to 0 (highest...

A sample of cloth from each of 10 rolls was taken and the number of defects was counted. The table below shows the data. Draw an appropriate control chart and interpret the result. Sample Square...

What are the pros and cons of change? Does it help or hurt organizational performance? Do you like change? Why or why not?

The unauthorized modification of information is also known as: Group of answer choices Eavesdropping Alteration Repudiation Aggregation

A planner in a small, open economy has a utility function and production takes place according to the production functions The world prices of the goods are p1 = $10 and p2 = $5. The total amount of...

A coin having probability p = 2/3 of coming up heads is flipped 6 times. Compute the entropy of the outcome of this experiment.

A pair of fair dice is rolled. Let and let equal the value of the first die. Compute (a) H(Y), (b) H Y (X). and (c) H(X, Y). (1 if the sum of the dice is 6 X = 0 otherwise

Prove that if can take on any of possible values with respective probabilities P 1 , ..., P n , then H(X) is maximized when Pi = 1/n, i = 1, ... , n. What is H(X) equal to in this case?

At expiry of a 7-year 2% Payer swaption on $100mln, with 6-mo LIBOR as the floating rate leg, the actual (prevailing) 7-yr swap rate is 2.80% and the yield curve is flat. What is the intrinsic value...

Discuss and explain the difference between procedural and object oriented programming languages.

1 V 2 v 3 4 5 6 8 9 10 11 12 13 14 Motor Vehicle Accidents During a recent year, there were 12.2 million automobile accidents, 6.8 million truck accidents, and 172,000 motorcycle accidents. Find the...