Fair Game
Definition of Fair Game
In other words, in a fair game each player is equally likely to win the game.
Examples 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
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: Among 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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