Problem:
Two jokers are added to a card deck and the entire stack of cards is shuffled randomly. What is the expected number of cards that will be between the two jokers?
Problem:
Two jokers are added to a card deck and the entire stack of cards is shuffled randomly. What is the expected number of cards that will be between the two jokers?
Solution:
Each card has an equal likelihood of being either on top of the jokers, in between them, or below the jokers. Thus, on average, of them will land between the two jokers.