Consider the Following Scenario to Answer the Questions That Follow

question 63

Multiple Choice

Consider the following scenario to answer the questions that follow.
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 5-oz.gold bar.Under each of the other two buckets is a 1-oz.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 1-oz.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,what is the probability that the contestant will win the 1-oz.gold bar?

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Definitions:

Producer Surplus

The difference between what producers are willing to accept for a good or service and what they actually receive, typically representing the profit or gain from trade.

Total Surplus

The sum of consumer and producer surplus, measuring the overall benefit to society from the production and consumption of a good or service.

World Price

The international market price of a good or service, determined by global supply and demand.

Importer or Exporter

Entities that are involved in the trade of goods across international borders, where importers bring goods into a country and exporters send goods out of a country.