10.1 Notes Need to grab a packet from the back for notes

Slides:

Advertisements

Similar presentations

Unit 3: Probability 3.1: Introduction to Probability

Advertisements

MAT 103 Probability In this chapter, we will study the topic of probability which is used in many different areas including insurance, science, marketing,

Probability Predictions Ch. 1, Act. 5. Probability The study of random events. Random events are things that happen without predictability – e.g. the.

Unit 4 Sections 4-1 & & 4-2: Sample Spaces and Probability  Probability – the chance of an event occurring.  Probability event – a chance process.

Describing Probability

MAT 103 Probability In this chapter, we will study the topic of probability which is used in many different areas including insurance, science, marketing,

AP Statistics Section 6.2 A Probability Models

Why can I flip a coin 3 times and get heads all three times?

Lesson  In this investigation you will explore the predictability of random outcomes. You will use a familiar random process, the flip of a coin.

PROBABILITY  A fair six-sided die is rolled. What is the probability that the result is even?

PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes.

Aim #10-7: How do we compute probability? Empirical probability applies to situations in which we observe how frequently an event occurs.

Formal Probability. The sum of probabilities for all possible outcomes of a trial must equal 1. Example: Flipping a Coin S = {Heads, Tails} P(H) = 0.5.

What are the chances of that happening?. What is probability? The mathematical expression of the chances that a particular event or outcome will happen.

Refreshing Your Skills for Chapter 10.  If you flip a coin, the probability that it lands with heads up is 1/2.  If you roll a standard die, the probability.

An outcome is a possible result An event is a specific outcome Random means all outcomes are equally likely to occur or happen. random = fair A favorable.

Simple Mathematical Facts for Lecture 1. Conditional Probabilities Given an event has occurred, the conditional probability that another event occurs.

Notes on PROBABILITY What is Probability? Probability is a number from 0 to 1 that tells you how likely something is to happen. Probability can be either.

Target: Find and interpret experimental and theoretical probabilities.

4.1 Probability Distributions. Do you remember? Relative Frequency Histogram.

Dependent and Independent Events. Events are said to be independent if the occurrence of one event has no effect on the occurrence of another. For example,

Tree Diagram Worksheet

Probability THEORETICAL Theoretical probability can be found without doing and experiment. EXPERIMENTAL Experimental probability is found by repeating.

The Wonderful World… of Probability. When do we use Probability?

Review Homework pages Example: Counting the number of heads in 10 coin tosses. 2.2/

WOULD YOU PLAY THIS GAME? Roll a dice, and win $1000 dollars if you roll a 6.

Do Now. Introduction to Probability Objective: find the probability of an event Homework: Probability Worksheet.

Warm-Up Pg. 361 # 2, 3, 4b. Unit 2 Theoretical Probability of Multiple Events Learning Goal: I can determine the theoretical probability of an and represent.

Unit 4 Section 3.1.

Unit 4: Probability Day 2: Basic Probability. Standards and Benchmarks Select and apply counting procedures, such as the multiplication and addition.

Warm Up: Quick Write Which is more likely, flipping exactly 3 heads in 10 coin flips or flipping exactly 4 heads in 5 coin flips ?

No Warm-Up today. You have a Quiz Clear your desk of everything but a calculator and something to write with.

PROBABILITY. What is Probability? Def: The chance of an event occuring. Where is it used? –Lotteries, gambling, weather forecasting, insurance, investments,

Section 3.1: Basic Concepts of Probability. Objective: To be able to understand and apply the basic rules of probability. A probability experiment is.

2-6 Probability Theoretical & Experimental. Probability – how likely it is that something will happen – Has a range from 0 – 1 – 0 means it definitely.

Probability Project Complete assignment on next slide on notebook paper. You need to use the interactive coin and dice on Moodle to complete assignment.

 Students will be able to find theoretical and experimental probabilities.

Conditional Probability 423/what-is-your-favorite-data-analysis-cartoon 1.

Bell Ringer The P(A), you showing up to school on time, is 0.8. The P(B), you completing your homework, is 0.7. Are events A and B independent if the.

Probability Predictions Ch. 1, Act. 5.

Sec. 4-5: Applying Ratios to Probability

Warm up: write the equation of the line described

= Basic Probability Notes Basics of Probability Probability

2. There are 3 red, 7 blue and 6 green marbles in a bag.

History of Probability

Experimental vs. Theoretical Probability

Probability Union Intersection Complement

Warm Up Which of the following are combinations?

10.1 Notes: Theoretical and experimental probability

Applying Ratios to Probability

Section 6.2 Probability Models

Probability Mr. Johnson 2008.

Section 12.2 Theoretical Probability

Investigation 2 Experimental and Theoretical Probability

Probability Notes Please fill in the blanks on your notes to complete them. Please keep all notes throughout the entire week and unit for use on the quizzes.

Experimental vs. Theoretical Probability

Section 12.2 Theoretical Probability

Section 12.2 Theoretical Probability

The Geometric Distribution

Presentation transcript:

10.1 Notes Need to grab a packet from the back for notes Have last nights homework out Don’t forget to check out a book before or after school, or during lunch if you did not get one yesterday

A process where an individual outcome is unpredictable. Examples: Random Process A process where an individual outcome is unpredictable. Examples: Rolling a standard die Drawing a card from a deck

The result of a probability trial Examples: Outcome The result of a probability trial Examples: Hannah has 5 cards, and has a pair of kings Ryan flips a quarter and gets heads side up

Event Consists of one or more probability outcomes. Simple Event: only one outcome Compound Event: more than one outcomes are combined

Experimental Probability Probabilities based on trials and observations

Theoretical Probability Probabilities based on calculating the total possible outcomes and the outcomes of the desired event.

Example 1 2 3 4 5 6 2 7 3 8 4 8 9 5 9 10 6 10 11 7 11 12 Find the number of equally likely outcomes of each event described for a roll of two fair dice. Then write the probability of each event. The dice sum to 9. The dice sum to 6. The dice have a difference of 1. The sum of the dice is 6, and their difference is 2. The sum of the dice is at most 5.

Homework Pg. 553 #1-5,9,10