The Unfinished Game Problem

In the Milk, Beads and Pascal’s Triangle article, we have talked about the Sister’s Dilemma, and how they toss coins and later roll dice to solve their problem.  In this post, we are going to talk more about tossing coins and how they are connected to other mathematical topics.

The Interrupted Game

In a chess tournament in your school, two of your classmates, Sherwin and Carlo, made it to the championship game. The championship game was a race to 6. The score was 5-3, in favor of Sherwin.

Figure 1

Suppose, Carlo got sick, and the school agreed to divide the prize money worth $500 based on the players’ chance of winning the championship, how should the money be divided fairly? » Read more