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?
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. Taking the money also takes the die off the table, so you must spend a round rolling it again before you can take money again. How would you play to maximise your earnings, and how does this differ from the version in which the die stays on the table after you take money?
Community answers
No answers contributed by the community yet.
Related questions
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?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 and I each roll a 20-sided die and the higher roll wins $100, rerolling ties. How much would you pay for the option to roll a 30-sided die instead?Related courses
Course
Course