MathDB

Crisp All, a basketball player, is dropping dimes and nickels on a number line. Crisp drops a dime on every positive multiple of

10

, and a nickel on every multiple of

5

that is not a multiple of

10

. Crisp then starts at

0

. Every second, he has a

\frac{2}{3}

chance of jumping from his current location

x

x+3

, and a

\frac{1}{3}

chance of jumping from his current location

x

x+7

. When Crisp jumps on either a dime or a nickel, he stops jumping. What is the probability that Crisp stops on a dime?

Problem Statement