The following table shows the number of people that like a particular fast food restaurant. 1)Is the probability of liking McDonald’s dependent on the.

Slides:

Advertisements

Similar presentations

7/20 The following table shows the number of people that like a particular fast food restaurant. 1)What is the probability that a person likes Wendys?

Advertisements

: Estimating Probabilities by Collecting Data. Carnival At the school carnival, there is a game in which students spin a large spinner. The spinner has.

Conditional Probability. Finding Conditional Probability Definition 1: A conditional probability contains a condition that may limit the sample space.

Essential Question: What makes conditional probability different from normal probability?

Bell Work 35/100=7/20 15/100 = 3/20 65/100 = 13/20 Male

7/20 The following table shows the number of people that like a particular fast food restaurant. 1)What is the probability that a person likes Wendy’s?

1.When rolling two dice, what is probability that your sum will be 4 or 5? 2.When rolling two dice, what is the probability that your sum will be an even.

The Practice of Statistics, Fourth Edition.

Howard is playing a carnival game. The object of the game is to predict the sum you will get by spinning spinner A and then spinner B. 1)List the sample.

35/100=7/ people were surveyed for their favorite fast-food restaurant. Write your answers as fractions in simplest form. 1. What is the probability.

Estimating Probabilities by Collecting Data

A great prize is inside Box 1, 2, or 3. You choose Box 1. You are shown that Box 2 contains a rubber chicken. You are given a chance to change your choice.

Copyright © Cengage Learning. All rights reserved. Elementary Probability Theory 5.

Math notebook, pencil and calculator Conditional Relative Frequencies and Association.

7/ people were surveyed for their favorite fast-food restaurant. 1. What is the probability that a person likes Wendy’s? 2. What is the probability.

HOMEWORK QUESTIONS?. 5.2 TWO-WAY TABLES PROBABILITY MODELS A probability model describes chance behavior by listing the possible outcomes in the sample.

Sec. 1.6 Probability Objective: Students set up probability equations appropriately.

The following table shows the number of people that like a particular fast food restaurant. 1)Is the probability of liking McDonald’s dependent on the.

12.2 – Conditional Probability. Conditional Probability Conditional Probability contains a condition that may limit the sample space for an event. You.

Warm-Up  On a spinner below, each numbered section is exactly 1/8 of the spinner. Find the probability of each event in three spins of the spinner. Exactly.

Howard is playing a carnival game. The object of the game is to predict the sum you will get by spinning spinner A and then spinner B. Howard predicts.

Howard is playing a carnival game. The object of the game is to predict the sum you will get by spinning spinner A and then spinner B. Howard predicts.

ANNOUNCEMENTS -NO CALCULATORS! -Take out HW to stamp -Media Center Today! WARM UP 1.Copy the following into your Vocab Section (Purple tab!) Conditional.

Warm up The following table shows the number of people that like a particular fast food restaurant. McD’s BK Wendy’s Male Female What is.

12.1 – Probability Distributions

7/20 The following table shows the number of people that like a particular fast food restaurant. 1)What is the probability that a person likes Wendy’s?

February 13, 2009 Conditional Probability/Analyzing Data HAPPY FRIDAY THE 13 th !!!!!

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.

Introduction Remember that probability is a number from 0 to 1 inclusive or a percent from 0% to 100% inclusive that indicates how likely an event is to.

Chapter 9 Section 7 Chapter 12 Section 2 Algebra 2 Notes February 12, 2009.

11.4 CONDITIONAL PROBABILITY Learning Goal find conditional probabilities use table and tree diagrams to determine conditional probabilities.

Probability and Simulation The Study of Randomness.

Howard is playing a carnival game. The object of the game is to predict the sum you will get by spinning spinner A and then spinner B. Howard predicts.

7/20 The following table shows the number of people that like a particular fast food restaurant. 1)What is the probability that a person likes Wendy’s?

12-2 Conditional Probability Hubarth Algebra II. Conditional probability contain a condition that may limit the sample space for an event. You can write.

7/20 The following table shows the number of people that like a particular fast food restaurant. 1)What is the probability that a person likes Wendy’s?

Chapter 22 H- Venn Diagrams Roll a die U = {1, 2, 3, 4, 5, 6} We want a number less than Event “A”

Probability Probability Day 4. Independent Practice Topic 3 packet pg

Conditional Probability Honors. Conditional Probability  The probability of an event occurring, given that another event has already occurred  Denoted.

Probability Rules Chapter 15. Sample Space The sample space of a trial is the set of all possible outcomes and is labeled S. The outcomes do NOT need.

Holt Geometry 3-1 Lines and Angles S-CP.A.1 S-CP.A.3 S-CP.A.4 S-CP.A.5 S-CP.B.6 S-CP.B.8.

Today is Tuesday.

Conditional Probability

Warm-up Male Female 25 McDonald’s Burger King Wendy’s

Warm up The following table shows the number of people that like a particular fast food restaurant. McD’s BK Wendy’s Male Female What is.

Warm-up 7/20 3/5 3/4 Male Female 25 McDonald’s Burger King

Compound Probability.

Warm-up Howard is playing a carnival game. The object of the game is to predict the sum you will get by spinning spinner A and then spinner B. List the.

12.2 – Conditional Probability

Introduction Remember that probability is a number from 0 to 1 inclusive or a percent from 0% to 100% inclusive that indicates how likely an event is to.

Warm up #3 3/24 – even 3/27 - odd 7/20 3/5 3/20 3/4

Warm up The following table shows the number of people that like a particular fast food restaurant. McD’s BK Wendy’s Male Female What is.

Conditional Probability

Warm-up Howard is playing a carnival game. The object of the game is to predict the sum you will get by spinning spinner A and then spinner B. List the.

Conditional Probability

Conditional Probability

Warm-up Howard is playing a carnival game. The object of the game is to predict the sum you will get by spinning spinner A and then spinner B. Howard predicts.

Conditional Probability

Warm up The following table shows the number of people that like a particular fast food restaurant. McD’s BK Wendy’s Male Female What is.

Conditional Probability

Warm-up #3 3/22 – even; 3/23 odd Howard is playing a carnival game. The object of the game is to predict the sum you will get by spinning spinner A and.

Conditional Probability

Conditional Probability

Warm-up Howard is playing a carnival game. The object of the game is to predict the sum you will get by spinning spinner A and then spinner B. List the.

CHAPTER 5 Probability: What Are the Chances?

12.2 – Conditional Probability

Warm up The following table shows the number of people that like a particular fast food restaurant. McD’s BK Wendy’s Male Female What is.

12.2 – Conditional Probability

Warm up The following table shows the number of people that like a particular fast food restaurant. McD’s BK Wendy’s Male Female What is.

Conditional Probability

Presentation transcript:

The following table shows the number of people that like a particular fast food restaurant. 1)Is the probability of liking McDonald’s dependent on the gender of the person surveyed? Explain using calculations. 2)What about Burger King and Wendy’s? McDonald’sBurger KingWendy’s Male Female201025

Howard is playing a carnival game. The object of the game is to predict the sum you will get by spinning spinner A and then spinner B. Howard predicts he will get a sum of 5. 1)List the sample space. 2)What is the probability Howard gets a sum of 5? 3)Suppose that Howard gets a 3 on Spinner A, what is the new probability of him getting a sum of 5? 3/12 or 1/4 1/3

Conditional Probability

Conditional Probability contains a condition that may limit the sample space for an event. You can write a conditional probability using the notation - This reads “the probability of event B, given event A”

The table shows the results of a class survey. Find P(own a pet | female) Conditional Probability The condition female limits the sample space to 14 possible outcomes. Of the 14 females, 8 own a pet. Therefore, P(own a pet | female) equals yesno female86 male57 Do you own a pet? 14 females; 12 males

The table shows the results of a class survey. Find P(wash the dishes | male) Conditional Probability The condition male limits the sample space to 15 possible outcomes. Of the 15 males, 7 did the dishes. Therefore, P(wash the dishes | male) 7 15 yesno female76 male78 Did you wash the dishes last night? 13 females; 15 males

Using the data in the table, find the probability that a sample of not recycled waste was plastic. P(plastic | non-recycled) The given condition limits the sample space to non-recycled waste. MaterialRecycledNot Recycled Paper Metal Glass Plastic Other The probability that the non-recycled waste was plastic is about 13%. = A favorable outcome is non-recycled plastic. P(plastic | non-recycled) = Let’s Try One

Conditional Probability Formula For any two events A and B from a sample space with P(A) does not equal zero

Conditional Probability Researchers asked people who exercise regularly whether they jog or walk. Fifty-eight percent of the respondents were male. Twenty percent of all respondents were males who said they jog. Find the probability that a person randomly selected jogs given they are male. Relate:P( male ) = 58% P( male and jogs ) = 20% Define:Let m = male. Let j = jogs. The probability that a male respondent jogs is about 34%. Write:P( j | m ) = P( m and j ) P( j ) = Substitute 0.2 for P(A and B) and 0.58 for P(A) Simplify

The table shows the results of a class survey. Find P(own a pet | female) Conditional Probability – Pets Revisited Therefore, P(own a pet | female) equals. 4 7 yesno female86 male57 Do you own a pet? 14 females; 13 males

Homework Practice Worksheet