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 a $100 bill. Under each of the
other three buckets is a $10 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 one of the remaining three buckets to reveal a $10 bill under
it. At this point, three buckets remain uncovered: the bucket that
the contestant originally chose and the two buckets that were 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 one of the
two other buckets 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?
Want to confirm my answer of $40. Thank you.
Get Answers For Free
Most questions answered within 1 hours.