An Impossible Bet | The 100 Prisoners Problem

How many boxes is each participant allowed to open to find their bill?

• 100

• 75

• 50

• 25

If a participant randomly chooses boxes, what is the probability that they will find their own bill within the allowed number of peeks?

• 1 in 100

• 1 in 2

• 1 in 50

• 1 in 4

What is the outcome if 99 out of 100 participants successfully find their own bill, but one participant fails?

• The 99 successful participants win $101 each, and the one who failed loses $1.

• All 100 participants win $101 each.

• All 100 participants lose their initial $1 bet.

• The game is replayed for the one participant who failed.

When are the participants allowed to communicate with each other to plan their strategy?

• At any point during the game, as long as they don't reveal box contents.

• Only before any participant enters the room to search for their bill.

• After each participant has searched, to share information.

• Communication is strictly forbidden at all times.