By Trip Lenahan by Trip Lenahan2007-2008. What is Probability? ► Probability is the likelihood of something happening. ► Probability is expressed as a.

Slides:

Advertisements

Similar presentations

Probability Chances Are… You can do it! Activity #3.

Advertisements

Probability: Mutually Exclusive Events 1. There are 3 red, 4 black and 5 blue cubes in a bag. A cube is selected at random. What is the probability of.

The Law of Total Probability

Whiteboardmaths.com © 2004 All rights reserved

Example for calculating your final grade for this course

Probability Three basic types of probability: Probability as counting

What is Probability Learning Intention Success Criteria

Lesson 7.4B M.3.G.1 Calculate probabilities arising in geometric contexts (Ex. Find the probability of hitting a particular ring on a dartboard.) M.3.G.2.

Copyright © Cengage Learning. All rights reserved. 7 Probability.

Probability Chapter 11 1.

Probability Number Line 0 1 Events that are impossible have a probability of 0. Rolling a 7 with a 6-sided dice. Rolling a 7 with a 6-sided dice has a.

CISC 1100 Counting and Probability. Counting is Based on Straightforward Rules Are countable items combined using the terms such as AND or OR? Are countable.

7.3 Probabilities when Outcomes are Equally Likely.

Bellwork What fraction of the spinner is blue? Write in simplest form.

THEORETICAL PROBABILITY - SIMPLE EVENTS OCCURING.

 Solve problems involving geometric probability.  Solve problems involving sectors and segments of circles.

4. Counting 4.1 The Basic of Counting Basic Counting Principles Example 1 suppose that either a member of the faculty or a student in the department is.

Lesson 1.9 Probability Objective: Solve probability problems.

Probability: Simple and Compound Independent and Dependent Experimental and Theoretical.

Simple Event Probability is the chance or likelihood that an event will happen. It is the ratio of the number of ways an event can occur to the number.

EXACT Probability All probability answers should be a FRACTION or DECIMAL Between 0 (impossible) and 1(certain) !!!! Exact Probability Formula: (Must be.

Warm Up Write the converse, inverse, and contrapositive of: “If M is the midpoint of AB, then M, A, and B are collinear.” Are these statements true or.

Warm Up 1. Determine whether each situation involves permutations or combinations 2. Solve each problem (set up…if you can simplify…you’re great!) Arrangement.

Geometry Geometric Probability. October 25, 2015 Goals  Know what probability is.  Use areas of geometric figures to determine probabilities.

Trip Lenahan Trip Lenahan Mr. Pricci Mr. Pricci Honors Geometry, Mod 8 30 May 2008.

Geometry 9-6 Geometric Probability. Example Find the probability that a point chosen randomly in the rectangle will be: Inside the square. 20 ft 10 ft.

Warm Up If Babe Ruth has a 57% chance of hitting a home run every time he is at bat, run a simulation to find out his chances of hitting a homerun at least.

Year 6 SATs Booster Maths 7 Probability. Understand and use the probability scale Find and justify theoretical probabilities.

EXAMPLE 1 Find probability of disjoint events A card is randomly selected from a standard deck of 52 cards. What is the probability that it is a 10 or.

Math Pacing Probability - Simple Probability and Odds 1.Which measure of central tendency best describes the data? Explain , 82, 85, 86, 87, 88,

Mutually Exclusive Events. In some situations, more than one event could occur during a single trial. In some situations, more than one event could occur.

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.

 15 minutes. 1. What is a rotation of an object? How do you go about rotating an object? 2. What happens when you rotate the object below 90 degrees?

Probability of Simple Events

4.4 Hypergeometric Distribution

Section 11-8 Geometric Probability. probability The chance or likelihood that an event will occur. - It is always a number between zero and one. - It.

Independent Events Lesson 11-7 Pg. # CA Content Standards Statistics, Data Analysis, and Probability 3.4: I understand that the probability of.

Warm-up: MSA Review. Unit 8: Statistics and Probability Objective: Students will express the probability of an event as a decimal, fraction, percent and.

Probability. Probability of an Event A measure of the likelihood that an event will occur. Example: What is the probability of selecting a heart from.

Geometric Probability Probability Recall that the probability of an event is the likelihood that the event will occur.

10-8 Geometric Probability

Probability - Find the probability of things NOT happening 10 multiple choice questions.

Geometry 11.7 Big Idea: Find Geometric Probability.

Expected Value and Fair Game S-MD.6 (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). S-MD.7 (+) Analyze.

Calculating Probabilities Statistics and Probability.

What is Probability Learning Intention Success Criteria

MAT 142 Lecture Video Series

Probability Number Line

What Is Probability?.

Probability Probability is a measure of how likely it is that an event will occur. Probability can be expressed as a fraction, decimal, or percent.

What is Probability Learning Intention Success Criteria

Lesson 23.1 conditional probability

Determining the theoretical probability of an event

Probability of casino games

THEORETICAL PROBABILITY - SIMPLE EVENTS OCCURING

1. Find the area of a circle with radius 5.2 cm.

Multiply the probability of the events together.

Intro to Probability Math 9.

Section 12.2 Theoretical Probability

Section 12.2 Theoretical Probability

What does it really mean?

18.1 Geometric Probability

18.1 Geometric Probability

Find the area of the shaded sector.

Advanced Geometry Section 1.9 Probability

Section 12.2 Theoretical Probability

Counting and Probability

How likely it is that some events will occur?

Presentation transcript:

by Trip Lenahan by Trip Lenahan

What is Probability? ► Probability is the likelihood of something happening. ► Probability is expressed as a fraction as the number of desired outcomes over the number of possible outcomes.

Probability ►T►T►T►The highest probability of an event occurring is: 1 ►T►T►T►The lowest probability of an event occurring is: 0

Professions That Use Probability ► Insurance companies ► Professional card players ► Casino operators ► Athletes ► Sports Analysts ► Statistics keepers ► Secretaries ► Accountants ► Doctors

Two-Step Procedure To determine probability, one may use this two-step procedure: To determine probability, one may use this two-step procedure: 1. Determine and count all logical possibilities 2. Determine and count all desired possibilities or “winners”

Probability Formula The Probability Formulas are as follows: p= number of winners p= number of winners total number of possibilities total number of possibilitiesOR p= winning region p= winning region total possible region total possible region

Example of Probability #1 ► If there are 10 balls (7 red, 3 green) then the likelihood of selecting a red ball on one attempt is …. 7 red balls (winners) 7 red balls (winners) 10 total balls (total possibilities) 10 total balls (total possibilities)

Example of Probability #2 Problem : If one of the four points is picked randomly, what is the probability that the point lies on CA? A B C D

Example of Probability #2 (cont) ► To solve this problem, we first list all possibilities ABCD ► Then, we circle the winners ABCD A B C D

Example of Probability #2 Solution Therefore the probability of the selected point being on the angle is: Winners = 3 Winners = 3 Possibilities 4

Practice Problem #1 If one of the four angles is selected randomly, what is the probability that the angle is acute? A. ¼B. ½ C. ¾D. 1

Example of Probability #3 Problem : If two of the four points are picked at random, what is the probability that both lie on CA? A B C D

Example of Probability #3 ABBCCD ACBD AD Probability= 3 = A B C D

More Probability (pg 52 #10) If point B is chosen on AC, what is the probability that -5 < B < 7? AC A. 2/5B. 12/10 C. 1/15 D. 3/5....

Still more… (pg 52 #11) The second hand of a clock sweeps continuously around the face of the clock. What is the probability that at any random moment the second hand is between 7 and 12? The second hand of a clock sweeps continuously around the face of the clock. What is the probability that at any random moment the second hand is between 7 and 12? A. 7/12B. 7/60 C. 12/60 D. 5/12

Last one… (pg 52 #15) If a point is chosen at random in rectangle ABCD, what is the probability that: If a point is chosen at random in rectangle ABCD, what is the probability that: a. It is in square SQUA? A. 2/9B. 1/5 C. 3/5D. 1/ CB AD S Q U

Last one (really)… (pg 52 #15) If a point is chosen at random in rectangle ABCD, what is the probability that: If a point is chosen at random in rectangle ABCD, what is the probability that: b. It is not in square SQUA? A. 2/5B. 1/5 C. 3/5D. 4/ CB AD S Q U