STATISTIC:

Before beginning this exercise, consider the following information. A standard set of dice includes two six sided cubes, each called a die. Each face of each die has from 1 to 6 spots.

You and a friend are starting a board game and use one of the dice (called a die) to determine who starts the game. The highest number on a single roll of a die goes first. You roll a four.

1. What is the probability that you will win and get to start the game?
2. What is the probability that will lose and your friend will get to start the game?
3. What is the probability that your friend (independently) will roll a four?
4. What is the combined probability of all three scenarios above?