Consider the Following Scenario When Answering the Following Questions

question 139

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 one of the other buckets remaining,what is the expected value of the game?

• A) $32.50
• B) $40.00
• C) $43.75
• D) $66.25
• E) $100.00

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Definitions:

Consumer Surplus

Consumer surplus is the difference between the maximum price consumers are willing to pay for a product or service and the actual price they pay.

Producer Surplus

Producer Surplus is the difference between what producers are willing to accept for a good or service versus what they actually receive, often depicted as the area above the supply curve and below the market price.

Costume Jewelry

Jewelry made from non-precious materials, designed to emulate more valuable pieces.

Acceptable Price

The price at which a consumer is willing to purchase a product or service, often considered fair by both the buyer and the seller.