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Consider the Following Scenario When Answering the Following Questions

question 47

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Consider the following scenario when answering the following questions:
Imagine a game show on television where one lucky contestant is presented with three upside-down buckets that are numbered 1,2,and 3.Under one of the buckets is a five-ounce gold bar.Under each of the other two buckets is a one-ounce gold bar.After the game ends,the contestant receives the gold bar that is under his or her bucket.
The host of the game show asks the contestant to choose one of the three buckets.After the contestant makes a choice,the host lifts up one of the remaining two buckets to reveal a one-ounce gold bar under it.At this point,only two buckets remain uncovered: the bucket that the contestant originally chose and the bucket that was not uncovered by the host.
The host subsequently asks the contestant if he or she would like to keep the original bucket or change buckets to the only other bucket remaining.
-If the contestant changes buckets from the original bucket to the other bucket remaining,the expected value of the game is ________; if the contestant does not change buckets and sticks with the original bucket chosen,the expected value of the game is ________.Assume that the market price of gold is $1,000 per ounce.


Definitions:

Lung Expansion

The process of increasing or maximizing the volume of air in the lungs, crucial for efficient gas exchange and respiratory health.

Venous Thromboembolisms

A condition that includes both deep vein thrombosis (blood clot in the deep veins) and pulmonary embolism (a blood clot that has moved to the lungs).

Low-Molecular-Weight Heparin

A class of anticoagulant medications used to prevent and treat blood clots, offering the advantage of not requiring monitoring of the blood's clotting ability.

Oral Anticoagulant

Medication taken by mouth to prevent or treat blood clots by inhibiting the coagulation of blood.

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