Question

You and your friend play a game. You win if you roll a number cube and it lands on a five. Your friend wins if she rolls a number cube and it lands on a factor of 6.

1. what is the probability that you win?

2. what is the probability that your friend wins

3. is the game fair? explain your reasoning.

Answer 1

1. 1/6

2. 4/6 (There are 4 factors of 6, 1, 2, 3 and 6)

3. Therefore, the game in not fair as the friend are quadruple the chance of winning the game compared to you. You can only land on 1 number to win, your friend can land on 4 numbers to win.

Hope this helps :)