Consider the Following Scenario When Answering the Following Questions

question 136

Multiple Choice

Consider the following scenario when answering the following questions:
Imagine a game show on television where one lucky contestant is presented with four upside-down buckets that are numbered 1,2,3,and 4.Under one of the buckets is exactly one $100 bill.Under each of the other three buckets is exactly one $5 bill.After the game ends,the contestant will receive the amount of money that is under his or her bucket.
The host of the game show asks the contestant to choose one of the four buckets.After the contestant makes a choice,the host lifts up two of the remaining three buckets to reveal a $5 bill under each of them.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,what is the expected value of the game?

• A) $5.00
• B) $95.00
• C) $62.50
• D) $28.75
• E) $76.25

---

Definitions:

White Blood Cells

Cells of the immune system involved in protecting the body against both infectious disease and foreign invaders by responding to pathogens and initiating immune responses.

Vein

(1) A blood vessel that carries blood from the tissues toward a chamber of the heart (compare with artery). (2) A strand of vascular tissue that is part of the network of conducting tissue in a leaf; also called a vascular bundle.

Heart

The heart is a muscular organ in most animals, including humans, which pumps blood through the blood vessels of the circulatory system, supplying oxygen and nutrients to the body while removing carbon dioxide and other wastes.

Oxygen-Rich Blood

Blood that has been oxygenated in the lungs and is being transported to cells throughout the body.