Y by
Alice and Bob play a game where Alice starts with
MathJuice bottles and Bob starts with
MathJuice bottles. An unfair coin is then flipped, with probability
of landing heads. If the coin lands heads, Alice gives Bob a bottle; otherwise, Bob gives Alice a bottle. This process repeats until someone runs out of bottles.
(a): What is the probability that Bob will lose all of his bottles before Alice does?
(b): What is the expected number of times the coin has been flipped by the time the game ends?
Source: Own



(a): What is the probability that Bob will lose all of his bottles before Alice does?
(b): What is the expected number of times the coin has been flipped by the time the game ends?
Source: Own
This post has been edited 1 time. Last edited by Bummer12345, Today at 1:49 AM