Let's say I make up a "game" where each player takes a turn by flipping a coin, drawing a card from the deck and noting whether it's red or black, and rolling a die and noting whether it's even or odd.[br]1. List all the possible turns, or [b]events[/b], in this game, or [b]chance experiment[/b]. This is called the [b]sample space [/b]of the chance experiment.[br]2. Find the probabilities of the following events:[br]a. HBO[br]b. TRE[br]c. T(R or B)O

In the game above, all of the events in the sample space are equally likely. [br]a. Make up your own game where the events are not equally likely. Describe the rules in detail, clearly stating which event (or events) are "winners".[br]b.  Calculate the probability of winning your game.This calculated probability is called the [b]theoretical probability[/b].[br]c. Play your game at least 10 times, keeping track of how many times you won and lost. Calculate the [b]experimental probability[/b] of winning based on your experiment.[br]d. Compare your theoretical and experimental probabilities.