Consider the following game: Roll a fair die of n sides. Continue rolling until some number has been rolled twice. You win if it takes 4 or more additional rolls (5 or more total).

What is the least number of sides the die could have if the expected number of additional rolls required is greater than 4?

(In reply to Answers ---spoiler by Ady TZIDON)

What two questions are you answering? I see only one question in the puzzle.

Posted by Charlie on 2012-05-25 14:32:10