red yellow First Choice Second Choice red blue yellow red blue yellow red blue yellow With a partner on your board!!! You choose a colored cube and then do not replace it. Finish the tree diagram for the second pull. Get Started!!!

red yellow First Choice Second Choice red blue yellow red blue yellow red blue yellow 3 Dependent Events You choose a colored cube and then do not replace it. Finish the tree diagram for the second pull. What’s the probability of choosing a red then a blue cube?

red First Choice Second Choice red blue red blue red blue Third Choice You choose a colored chip but do not replace it. Finish the tree diagram for the second and third draw.

First Choice Second Choice red blue red blue red blue Third Choice What’s the probability of selecting all three red chips? How do I verify (check) my answer? Add up all my probabilities. They should equal 1.

Population vs. Sample

Vocabulary Population- The entire set of objects in the group of interest This has all the possible information we could want to know about Population Characteristics_ (Parameter) numerical information that is calculated using data from an entire population Census - Collecting data from an entire population Example: the entire population of the United States

Sample- a selection taken from a larger group Sample Statistics- (Statistic) numerical information that is calculated using data from a sample Vocabulary Survey - Collecting data from a sample Example: Just the people who speak French out of all the people in the United States

Statistical questions are used to gather data about a population What if you wanted to know how many texts middle school students sent? It would take a really long time ask every single middle school student there isIt would take a really long time ask every single middle school student there is B y surveying a sample of the group, you can make a generalization about the entire group. This is called inference in statistics.By surveying a sample of the group, you can make a generalization about the entire group. This is called inference in statistics.

For Example: You want to know how many students at Lake Hazel have a swimming pool. It would take too long to ask every single student in the school, so you ask everyone in all of your classes. Population:Sample: All the students at Lake Hazel All the students in your classes

What if we wanted to predict the winner of the upcoming presidential election? Adults walking to work All voters Population: Sample: Another Example:

Types of Samples Unbiased Sample doesn’t favor a particular outcome. Biased Sample favors a particular outcome.

A beverage company wanted to see if people in the United States liked their new logo. Which choice best represents a population? A.A selection of logo artists. B.Every person in the United States. C.A selection of shoppers from different states. D. 189 male and female employees You Try!

Before a nation wide election, a polling place was trying to see who would win. Which choice best represents a sample? A. A selection of voters over age 50. B. A selection of male voters. C. All voters. D. A selection of voters of different ages. You Try!