A game is said to be fair if your chance of winning is equal to your chance of losing. How many of the following games, involving tossing a regular six-sided die, are fair?

- You win if you roll a 2
- You win if you roll an even number
- You win if you roll a number less than 4
- You win if you roll a number divisible by 3
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
When a die is rolled, there are six equally likely possibilities ( 1 through 6 ).

In order for the game to be fair, half of the six possibilities, or three possibilities, must be winning possibilities.

In the first game, only rolling a 2 gives a win, so this game is not fair.

In the second game, rolling a 2,4 or 6 gives a win, so this game is fair.

In the third game, rolling a 1,2 or 3 gives a win, so this game is fair.

In the fourth game, rolling a 3 or 6 gives a win, so this game is not fair.

Therefore, only two of the four games are fair.

ANSWER: (C)