Question: Five balls are arranged around a circle. Chris chooses two adjacent balls at random and interchanges them. Then Silva does the same, with her choice

Five balls are arranged around a circle. Chris chooses two adjacent balls at random and interchanges them. Then Silva does the same, with her choice of adjacent balls to interchange being independent of Chris's. What is the expected number of balls that occupy their original positions after these two successive transpositions? (A) 1.6 (B) 1.8 (C) 2.0 (D) 2.2 (E) 2.4

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

D. If two sides of one triangle are congruent to two sides of another triangle, but the third side of the first triangle is longer than the third side of the second, then the included angle of the...

Consider the following puzzle. Five coins are arranged around the vertices of a pentagon. The goal for this puzzle is to go from the starting configuration below E D to a goal configuration that is a...

What are the exact configurations required for (a) and (b)? Consider the following puzzle. Five coins are arranged around the vertices of a pentagon. The goal for this puzzle is to go from the...

How do we solve questions (a) and (b)? Consider the following puzzle. Five coins are arranged around the vertices of a pentagon. The goal for this puzzle is to go from the starting configuration...

Probability theory and statistics Academic year 2010/11, II. semester 1 Combinatorics 1.1 You are eating at Emile's restaurant and the waiter informs you that you have (a) two choices for appetizers:...

Permutation Combination Prof:- Jimmy Sethna 1. In how many ways can 5 rings be worn on the four fingers of your left hand? 2. Mary has 7 roses, 8 lilies and 10 carnations. In how many ways can a...

1. A jar contains 8 differently coloured balls. If you remove two balls, one at a time, how many different colour sequences are possible? A) (82)! B) 6! C) 87 D) 8! E) None of the above. 2. In...

or 16. What is the factorial notation of C(9, 7)? a. C=2 b. C= M 91-71 c. C= 71 7109-701 d. C= _ (9-7) 17. Which of the following situations does NOT illustrate d. 720 combination? a. Answering 2...

\fSwitch: How to Change Things When Change Is Hard Listen in as co-author Chip Heath explains why some attempts to change are more successful than others. Listen to comprehensive interview with the...

1) Record all week 2-5 transactions in the relevant journals. (sales journal, purchasing journal, cash reciepts journal, cash payments journal) Note that special journals must be used where...

Hydrogen peroxide undergoes a first-order decomposition to water and O2 in aqueous solution. The rate constant at 25oC is 7.40 104/s. Calculate the volume of O2 obtained from the decomposition...

Leaf Private College is sponsored by a religious group. Volunteers from this religious group regularly contribute their skilled services to Leaf and are paid nominal amounts to cover their commuting...

As the hrd manager at afristyle,you have been talked with improving the performance of customer service division specifically focusing on customer sales assistant who are perceived as untrained...

Heating and cooling of a building can be modeled by the ODE T' = k1(T Ta) + k2(T Tw) + P, where T = T (t) is the temperature in the building at time t, Ta the outside temperature, Tw the...

Varner Inc. and King Inc. have the following operating data: a. Compute the operating leverage for Varner Inc. and King Inc.b. How much would income from operations increase for each company if the...

Two disks sliding on a frictionless horizontal plane with opposite velocities of the same magnitude e v0 hit each other squarely. Disk A is known to have a mass of 6 kg and is observed to have zero...

Magna Charter has been asked to operate a Beaver bush plane for a mining company exploring north and west of Fort Liard. Magna will have a firm one-year contract with the mining company and expects...

hey tutor I want you to write me 15 benefits about the principles of business administration in the form of 15 points in a scientific and academic way. I will attach to you the name of the course in...

1. Identify your reference point when making a decision based on an element of risk.

3. If there are reasonable alternatives, think about your decisions based on the different reference points and see if there are any contradictions in the decisions.

4. It is only at this point that you can give the problem your full attention in relation to the various ways you have framed the problem.