IM3.7.1 Probability Basics

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. 1. List all the possible turns, or events, in this game, or chance experiment. This is called the sample space of the chance experiment. 2. Find the probabilities of the following events: a. HBO b. TRE c. T(R or B)O

In the game above, all of the events in the sample space are equally likely. 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". b.  Calculate the probability of winning your game.This calculated probability is called the theoretical probability. c. Play your game at least 10 times, keeping track of how many times you won and lost. Calculate the experimental probability of winning based on your experiment. d. Compare your theoretical and experimental probabilities.