MathDB

Lennart and Eddy are playing a betting game. Lennart starts with

7

dollars and Eddy starts with

3

dollars. Each round, both Lennart and Eddy bet an amount equal to the amount of the player with the least money. For example, on the first round, both players bet

3

dollars. A fair coin is then tossed. If it lands heads, Lennart wins all the money bet; if it lands tails, Eddy wins all the money bet. They continue playing this game until one person has no money. What is the probability that Eddy ends with

10

dollars?

26

Problems(1)