Write each fraction in simplest form. 1. 2. Warm Up Write each fraction in simplest form. 1. 2. 3. 4. 16 20 4 5 12 36 1 3 8 1 8 39 195 1 5 64

Outcomes and events Experiment: an investigation or a procedure that has varying results Outcomes: the possible results of an experiment Event: Collection of 1 or more outcomes Favorable outcome: outcomes of a specific event

You roll a number cube. What are the possible outcomes You roll a number cube. What are the possible outcomes? What are the favorable outcomes of rolling an even number? What are the favorable outcomes of rolling a number greater than 5?

How many possible outcomes are there? How many ways can spinning red occur? How many ways can spinning NOT orange occur? What are the favorable outcomes of spinning not orange?

Probability Experiment Sample Space flipping a coin heads, tails An experiment is an activity in which results are observed. Each observation is called a trial, and each result is called an outcome. The sample space is the set of all possible outcomes of an experiment. Experiment Sample Space flipping a coin heads, tails rolling a number cube 1, 2, 3, 4, 5, 6

Never Happens about Always happens half the time happens 1 4 1 2 3 4 1 0 0.25 0.5 0.75 1 0% 25% 50% 75% 100%

 

Additional Example 1B: Finding Probabilities of Outcomes in a Sample Space Give the probability for each outcome. P(1) = 3 8 Three of the eight sections of the spinner are labeled 1, so is a reasonable estimate. 3 8

Additional Example 1B Continued Three of the eight sections of the spinner are labeled 2, so is a reasonable estimate. 3 8 P(2) = 3 8 Two of the eight sections of the spinner are labeled 3, so is a reasonable estimate. 2 8 P(3) = 2 8 Check The probabilities of all the outcomes must add to 1. 3 8 2 + = 1 

https://www.youtube.com/watch?v=AY3O_qsSnbE