6. There are four medals (Gold, Silver, Bronze and Wood) on a table, but they are...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
6. There are four medals (Gold, Silver, Bronze and Wood) on a table, but they are all wrapped with dark wrapping paper, such that it is impossible to distinguish them. You would like to find the gold medal. The game starts as follows. You pick one medal without unwrapping it, and then the game host unwraps one of the remaining medals and reveals that it is a silver medal. (Assume here that the host unwraps a medal with equal probability, but knowing where the gold medal was and avoiding unwrapping the gold medal if still on the table, to keep the game interesting to watch until the end.) You have now three medals left to unwrap (one in your hand, two on the table). At this point, the host gives you the option to change your mind and swap your medal for one of the two left on the table. What would you do at this point? Would you keep your medal, or swap it with one of the two medals left on the table? If so, which one? Hints: Find the solution by using Bayes' theorem, calculating all the conditional probabilities involved. Start calculating the probability of having Gold in our hands Page 4 of 7 given that we know that the host unwraps Silver, P(G|Hs) = .... Then compare with the probability of having Bronze or Wood in our hands given that we know that the host unwraps Silver, P(B|HS) =...., P(W|Hs) = .... 6. There are four medals (Gold, Silver, Bronze and Wood) on a table, but they are all wrapped with dark wrapping paper, such that it is impossible to distinguish them. You would like to find the gold medal. The game starts as follows. You pick one medal without unwrapping it, and then the game host unwraps one of the remaining medals and reveals that it is a silver medal. (Assume here that the host unwraps a medal with equal probability, but knowing where the gold medal was and avoiding unwrapping the gold medal if still on the table, to keep the game interesting to watch until the end.) You have now three medals left to unwrap (one in your hand, two on the table). At this point, the host gives you the option to change your mind and swap your medal for one of the two left on the table. What would you do at this point? Would you keep your medal, or swap it with one of the two medals left on the table? If so, which one? Hints: Find the solution by using Bayes' theorem, calculating all the conditional probabilities involved. Start calculating the probability of having Gold in our hands Page 4 of 7 given that we know that the host unwraps Silver, P(G|Hs) = .... Then compare with the probability of having Bronze or Wood in our hands given that we know that the host unwraps Silver, P(B|HS) =...., P(W|Hs) = ....
Expert Answer:
Answer rating: 100% (QA)
Ans Thu problem is the variation uring Bayes Theorem 61 Br BR1 83 PGHS We have Universe Sel host u... View the full answer
Related Book For
Molecular Biology Of The Cell
ISBN: 9780815344322
6th Edition
Authors: Bruce Alberts, Alexander D. Johnson, Julian Lewis, David Morgan, Martin Raff, Keith Roberts, Peter Walter
Posted Date:
Students also viewed these mathematics questions
-
The chapter states that it is impossible to know whether a particular nominal interest rate is "high" or "low." Briefly explain why.
-
You would like to find the proportion of bills passed by Congress that were vetoed by the president in the last congressional session. After checking congressional records, you see that for the...
-
Explain this statement: It is impossible to distinguish the point at which financial accounting ends and management accounting begins.
-
Discuss the two-pipe system, how it works, and its advantages and disadvantages.
-
1. The 6 percent annual coupon bonds of Greentree, Inc. are selling for $1,020, have a face value of $1,000, and have a yield to maturity of 5.43 percent. How many years will it be until these bonds...
-
Insert a dummy activity and event to correct the following AOA network: T 3 days 5 days 2 3 5
-
What are the differentiating characteristics of bands and tribes?
-
Dont tell me weve lost another bid! exclaimed Sandy Kovallas, president of Lenko Products, Inc. Im afraid so, replied Doug Martin, the operations vice president. One of our competitors underbid us by...
-
Find an example of a company's aggregate planning strategy. Analyze the company's aggregate planning strategy and then provide the following. Background on the company processes Outline their...
-
BCE has included service revenue of $22,100 as a result of a number of one year service policies sold late in December as an experiment. These service policies became effective on January 1, 20X4, or...
-
Burke Tires just paid a dividend of Do=$1.3. Analysts expect the company's dividend to grow by 30% this year, by 10% in Year 2, and at a constant rate of 5% in Year 3 and thereafter. The required...
-
Fill in the blanks for the missing terms in the sequence below. 3, 3, 6, 9, 15, 24, , 63, 165, ...
-
The record for the longest migration is held by arctic tern, which flies a around trip that can be as long as 20,000 miles per year, from the arctic to the Antarctic and back. If the bird files an...
-
Mackenzie received a 4.25% nonsubsidized 15-year student loan for $22,000. Assuming she graduates in 4 years, determine Mackenzie's monthly payment on the loan. (See Example 3 in this section. Round...
-
Kubin Company's relevant range of production is 14,000 to 20,500 units. When it produces and sells 17,250 units, its average costs per unit are as follows: Average Cost per Unit Direct materials $...
-
Waterway Corporation is considering purchasing a new delivery truck. The truck has many advantages over the company's current truck (not the least of which is that it runs). The new truck would cost...
-
Jenny purchased a home that was built on land that used to be used for the storage of contaminated materials. The land was cleaned up and tested, as required by law, and passed safety tests prior to...
-
Prove the result that the R 2 associated with a restricted least squares estimator is never larger than that associated with the unrestricted least squares estimator. Conclude that imposing...
-
At different stages of embryonic development, the same signals are used over and over again by different cells, but with different biological outcomes. Which statements are true? Explain why or why...
-
One of the earliest assays for hematopoietic stem cells made use of their ability to form colonies in the spleens of heavily irradiated mice. By varying the amounts of transplanted bone marrow cells,...
-
When bidirectional replication forks from adjacent origins meet, a leading strand always runs into a lagging strand. Is the statement true? Explain why or why not.
-
Where do you start developing BOs for any particular EBT? What questions do you need to ask?
-
What are the four characteristics that a BO must satisfy to fully qualify as a BO in any particular pattern?
-
What criteria do you use to filter the list of BOs?
Study smarter with the SolutionInn App