Imagine a Game Show on Television Where One Lucky Contestant $\frac { 1 } { 8 }$

question 63

Multiple Choice

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?

• A) \(\frac { 1 } { 8 }\)
• B) \(\frac { 1 } { 3 }\)
• C) \(\frac { 1 } { 2 }\)
• D) \(\frac { 2 } { 3 }\)
• E) \(\frac { 5 } { 8 }\)

---

Definitions:

Infant Mortality

The number of deaths of infants under one year old per 1,000 live births, a significant indicator of a nation's health and development.

Stigma

The societal disapproval or discrimination attached to a particular condition, status, or characteristic.

Socially Constructed

A concept or perception developed by society through cultural and social practices, rather than existing inherently.

Scientific Community

A group of researchers, academics, and professionals who share knowledge and conduct studies in various fields of science.