Margaret and Alice play a game involving two fair-number cubes with faces labeled 1 through 6. If Margaret tosses a sum of 6 on her next turn, she wins the game. Otherwise, the game continues.

What is the probability that Margaret will win on her next turn?

The answer is a fraction

Margaret will toss a sum of 6, if one of the following situations occurs:

1. The first cube is 1, the second cube is 5 : sum 6.

2. The first cube is 2, the second cube is 4: sum 6.

3. The first cube is 3, the second cube is 3: sum 6.

4. The first cube is 4, the second cube is 2 : sum 6.

5. The first cube is 5, the second cube is 1 : sum 6.

So, there are 5 possible situation that suit for Margaret.

The probability that Margaret will win is:

number of "good" situation / number of all possible situations.

There are 24 possible situations, so the probability is: 5/24