MathDB

Adamand Topher are playing a game in which each of them starts with

2

pickles. Each turn, they flip a fair coin: if it lands heads, Topher takes

1

pickle from Adam; if it lands tails, Adam takes

2

pickles from Topher. (If Topher has only

1

pickle left, Adam will just take it.) What’s the probability that Topher will have all

4

pickles before Adam does?

Problem Statement