7.6 Tree Diagrams

Focus: investigate outcomes of probability experiments Explore: p. 284 (build a chart that will organize all your information below) List all possible combinations when you spin a five-colour spinner and flip a coin: Calculate the theoretical probability of each combination : Carry out an experiment of 100 spins/flips to determine the experimental probability of each combination you determined previously:

If you determine probability with cards, spinners, coins, dice, etc....you are performing EXPERIMENTAL PROBABILITY. If you calculate probabilities using a mathematical formula...you are performing THEORETICAL PROBABILITY. If you are calculating the probability of two separate events, where the results of one event have nothing to do with the other, the events are...INDEPENDENT EVENTS. We can use a tree diagram to show all possible outcomes for an experiment with two separate events. All the possible outcomes can be listed in what is called a SAMPLE SPACE. Eg. P(Green and Heads) - spinner and penny...

Remember the formula for probability is P(event) = # of favorable outcomes/(divided by) total # of possible outcomes So, the ratio is 1:10, the probabiltiy is 1/10. Practice - pg. 287 #1-6