Question

In 2007, the world rock-paper-scissors Championship was held in Toronto, Ontario, Canada. What is the probability that any two competitors will both have the same combination in a game of rock-paper-scissors, expressed as a fraction?

Answer 1

To answer this, we will need to select 2 of the 3 possible cities in question 3C2:

$\begin{gathered} \frac{3!}{2!1!}=3 \\ \text{Total possibilities = 2}^3=8 \\ \text{Probability = 3/8} \end{gathered}$

So, the probability that any two cities have the same combination in a game is 3/8.