Fair Game

Definition of Fair Game

Fair Game is a game in which each player is not more likely to win than another. In other words, in a fair game each player is equally likely to win the game.

Video Examples: iCoachMath Works


Example of Fair Game

    The following are examples of a fair game.
  • Roll a number cube. You win if you roll a 1 or 2. Your friend wins if he rolls a 1 or 2.
  • Spinning a spinner with equal sections.

Solved Example on Fair Game

Ques: Which is a fair game?

    Choices:
    A. There are 2 green, 5 black, and 7 blue pebbles in a box. Tom wins if he chooses a blue pebble thrice.
    Mary wins if she chooses a green pebble twice.
    B. Put 5 red and 2 blue crayons in a box. You win if you pick a red crayon. Your friend wins if he picks a blue crayon.
    C. Toss a coin twice. You win if you get head both times and your friend wins if he gets tail both times.
    D. Toss a coin ten times. You win if you get head always and your friend wins if he gets 5 heads and 5 tails.
    Correct Answer: C

Solution:

    Step 1: Out of the games listed, only 'Toss a coin twice. You win if you get head both times and
    your friend wins if he gets tail both times.' is a fair game. Because, when you toss a coin,
    head and tail are equally likely to show up.

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