MathDB

Oliver is at a carnival. He is offered to play a game where he rolls a fair dice and receives

\$1

if his roll is a

1

2

, receives

\$2

if his roll is a

3

4

, and receives

\$3

if his roll is a

5

6

. Oliver plays the game repeatedly until he has received a total of at least

\$2

. What is the probability that he ends with

\$3

Problem Statement