20-sided die, 100 rounds: roll, or take the face value in dollars. Each time you take money the casino may reroll the die to cut your winnings. How does the game play out?
Unlock detailed company stats for this questionUpgrade
A casino game uses a 20-sided die with faces numbered 1 to 20. At the start the die is on the table showing 1. You have 100 rounds. In each round you either roll the die, which pays nothing, or take from the casino a number of dollars equal to the face showing. The die stays on the table when you take money, so the same number can be taken again in a later round. Now the casino also plays: each time you take money, it may choose to reroll the die once. Its reroll does not use up one of your rounds, and the casino's aim is to minimise the amount you make. This may be too complicated to solve exactly. How do you think this version will play out?
Community answers
No answers contributed by the community yet.
Related questions
20-sided die, 100 rounds: each round either roll, or take the face value in dollars, after which the die is removed until you spend a round rolling again. How should you play?You have a 20-sided die and 100 actions, each either a reroll or collecting the current face in dollars. Which threshold for starting to collect maximises your payout?You are paid the value of a die roll in dollars and may reroll once, taking the second result. How much would you pay to play?Related courses
Course
Course