1. What is the name of the mathematical concept that

measures the average payoff of a game over time?

A) Expected value

B) Nash equilibrium

C) Minimax theorem

D) Pareto optimality

Answer: A) Expected value

Rationale: Expected value is the weighted average of all

possible outcomes of a game, where the weights are the

probabilities of each outcome. It represents the long-term

average payoff of a game.

2. What is the name of the game that involves two players

alternately placing Xs and Os in a 3x3 grid, with the goal

of forming a line of three of their own symbols?

A) Dots and boxes

B) Tic-tac-toe

C) Sudoku

D) Connect four

Answer: B) Tic-tac-toe

Rationale: Tic-tac-toe is a simple and well-known game

that can be analyzed using combinatorics and game theory.

It is also known as noughts and crosses or Xs and Os.

3. What is the name of the mathematical technique that can

be used to solve Rubik's cube, a 3D puzzle that involves

rotating faces of a cube with colored stickers?

A) Group theory

B) Graph theory