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Unit 8: Probability & Statistics Name: _ Date:__Per:_Homework 3: Theoretical vs. Experimental Probability ** This is a 2-page document! ** Give each probability as a simplified fraction, decimal, and percent 1. A number between 1 and 3 is a) Find and compare the theoretical probability and chosen 30 times. Results are shown experimental probability of choosing a 2. in the table below. Theoretical: Experimental: Compare: 2. The spinner below is spun 60 times. a) Find and compare the theoretical probability and Results are shown in the table experimental probability of spinning an A
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3.4: Introduction to Probability
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- Page ID 146478
- Leah Griffith, Veronica Holbrook, Johnny Johnson & Nancy Garcia
- Rio Hondo College
4.1 Learning Objectives
- Describe theoretical, empirical, and subjective probability
- Distinguish among the three uses of probability
The probability of a specified event is the chance or likelihood that it will occur. There are several ways of viewing probability.
One would be experimental in nature, where we repeatedly conduct an experiment. Suppose we flipped a coin over and over and over again and it came up heads about half of the time; we would expect that in the future whenever we flipped the coin it would turn up heads about half of the time. When a weather reporter says “there is a 10% chance of rain tomorrow,” she is basing that on prior evidence; that out of all days with similar weather patterns, it has rained on 1 out of 10 of those days.
Conduct an experiment to determine the probability of the spinner landing on 1?
Using the experimental method, suppose out of 10,000 spins, 1,711 of those landed on 1. This is normally done on a computer application that can randomly generate outcomes of each spin to avoid someone having to spin the spinner 10,000 times.
To calculate this probability, divide the number of times 1 has occurred which is 1,711 by the number of times the spinner was spun which was 10,000.
The result is 0.1711 or approximately 17% of the time. So 17 times out of 100 spins one would expect the spinner to land on the number 1.
Another view would be subjective in nature, in other words an educated guess or opinion. But this is just a guess, with no way to verify its accuracy, and depending upon how educated the educated guesser is, a subjective probability may not be worth very much.
Determine the probability that the Seattle Mariners would win their next baseball game.
It would be impossible to conduct an experiment where the same two teams played each other repeatedly, each time with the same starting lineup and starting pitchers, each starting at the same time of day on the same field under the precisely the same conditions.
Since there are so many variables to take into account, someone familiar with baseball and with the two teams involved might make an educated guess that there is a 75% chance the Mariners will win the game; that is, if the same two teams were to play each other repeatedly under identical conditions, the Mariners would win about three out of every four games.
Definition: Probabilities
Empirical Probability uses the results of an experiment to predict the percent chance an event could occur.
Subjective Probability uses intuition or guesswork to predict the percent chance an event could occur.
Theoretical Probability uses the number of possible desired outcomes of an event compared to the number of all possible outcomes of an event to predict the percent chance an event could occur.
Theoretical Probability is defined mathematically as follows:
Suppose there is a situation with \(n\) equally likely possible outcomes and that m of those \(n\) outcomes correspond to a particular event; then the probability of that event is defined as \(\frac{m}{n}\).
We will return to the empirical and subjective probabilities from time to time, but in this course we will mostly be concerned with theoretical probability.
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1. A number between I and 3 is chosen 30 times. Results are shown in the table below. Result Frequency 12 2. The spinner below is spun 60 times. Results are shown in the table a) Find and compare the theoretical probability and experimental probability of choosing a 2. Theoretical: 3 Compare: Experimental: SO — hi her- a) Find and compare the ...
Name: _____ Unit 8: Probability & Statistics Date: _____ Per: _____ Homework 3: Theoretical vs. Experimental Probability ** This is a 2 Give each probability as a simplified fraction, decimal, and percent. 1. A number between 1 and 3 is chosen 30 times. Results are shown in the table below. a) Find and compare ...
The experimental probability of an event is an estimate of the theoretical (or true) probability, based on performing a number of repeated independent trials of an experiment, counting the number of times the desired event occurs, and finally dividing the number of times the event occurs by the number of trials of the experiment. For example, if a fair die is rolled 20 times and the number 6 ...
In a given experiment you select 4, 2, 3, 7, 8, 6, 9, 1, and 9. The probability of selecting a multiple of 3. 4/7. I have 7 green marbles, 2 yellow marbles, 4 purple marbles, and 1 blue marble in a bag. Probability of NOT picking yellow or purple. 1/3. Theoretical probability of rolling a 2 or 4 on a 6 sided dice. 1/6.
Study with Quizlet and memorize flashcards containing terms like If a standard number cube (die) is rolled 4 times and 3 times an even number comes up then what is the theoretical probability of getting an even number?, A bag has 3 red, 2 green and 4 black ball. If a ball is randomly taken from the bag, find the theoretical probability that it is red., A bag has 3 red, 2 green and 4 black ball.
Unit: Probability Topic: Comparing Theoretical and Experimental Probability homework check: Lesson 8 - 3 note: Comparing Experimental and Theoretical Probabilities Although we can use software programs to simulate experiments, actual experimental and theoretical probabilities are not necessary equal.
Unit: Probability Homework 6 Name Date DEPENDENT EVENTS Use your understanding of probability to answer the questions below. 1. In a board game, students draw a number, do not rep ace it, and then draw a second number. ... DAY 3 Experimental and Theoretical Probability Student Handout 3 Homework 3 DAY Probability Unit Study Guide Unit Study ...
Probability is a mathematical description of randomness and uncertainty. It is a way to measure or quantify uncertainty. Another way to think about probability is that it is the official name for "chance." The probability that an event will occur is between. 0 and 1 or 0 ≤ P (A) ≤ 1.
This is a 8 day unit on Probability. Each day has a Power Point that includes a warm -up with answers, notes and a closure of the lesson. Guided notes or flippables are provided for each lesson as well as an activity and a practice sheet. Day One- Introduction to Probability Use informal measures of probability. • Warm Up in Power Point.
The experimental probability of landing on heads is It actually landed on heads more times than we expected. Now, Sunil continues to toss the same coin for 50 total tosses. The results are shown below. ... Theoretical probability is what we expect to happen, where experimental probability is what actually happens when we try it out. ...
Unit 8: Probability & Statistics Name: _ Date:__Per:_Homework 3: Theoretical vs. Experimental Probability ** This is a 2-page document! ** Give each probability as a simplified fraction, decimal, and percent 1. A number between 1 and 3 is a) Find and compare the theoretical probability and chosen 30 times.
To calculate this probability, divide the number of times 1 has occurred which is 1,711 by the number of times the spinner was spun which was 10,000. The result is 0.1711 or approximately 17% of the time. So 17 times out of 100 spins one would expect the spinner to land on the number 1. Another view would be subjective in nature, in other words ...
2. Suppose a number cube is rolled. What is the theoretical probability of rolling a prime number? (There are three prime numbers on a number cube: 2, 3 and 5). 3. A number cube is rolled. Find the theoretical probability of each event. Write each answer as a fraction, decimal and percent. a. P(3) b. P(greater than 4) c. P(even)
Unit: Probability Homework 6 Name Date DEPENDENT EVENTS Use your understanding of probability to answer the questions below. 1. In a board game, students draw a number, do not rep ace it, and then draw a second number. ... DAY 3 Experimental and Theoretical Probability Student Handout 3 Homework 3 DAY Probability Unit Study Guide Unit Study ...
Unit 8 - Probability & Statistics: Sample Unit Outline TOPIC HOMEWORK DAY 1 Outcomes and Events HW #1 DAY 2 Simple Probability HW #2 DAY 3 Theoretical vs. Experimental Probability HW #3 DAY 4 Quiz 8-1 None DAY 5 Tree Diagrams & The Counting Principle HW #4 DAY 6 Compound Probability (Independent Events only) HW #5 DAY 7 Samples & Populations; Biased vs. Unbiased Samples;
Unit 2 - Probability Page | 1 Lesson 1 Probability Experiments ... Homework: Pp. 73 - 75 #1 - 12 . MBF 3C Unit 2 - Probability Page | 4. Title: Microsoft Word - Experimental and Theoretical Probability.doc Author: RCDSB Created Date: 3/1/2013 4:48:50 PM ...
Unit 8, Lesson 1 + 2 + 3. Experimental Probability. Click the card to flip 👆. the ratio of the number of times an event occurs to the number of times the experiment is done. Click the card to flip 👆. 1 / 4.
The spinner is spinning 10 times. Unit: Probability Student Handout 2 Name Date Pd EXPERIMENTAL AND THEORETICAL PROBABILITY The an event occurs to EXPERIMENTAL PROBABILITY the of the number of number of trials happen?" "What of an event happening based on the possible THEORETICAL PROBABILITY The outcomes "What happen? 1.
A 9-day CCSS-Aligned Probability Unit for 7th-Grade - including simple probability, experimental and theoretical probability, making predictions, and more. ... 3. Independent Practice. Daily homework is aligned directly to the student handouts and is versatile for both in class or at home practice. 4. Assessments
Unit 3 - Expressions and Equations Unit 4 - Proportional Relationships Unit 5 - Probability Unit 6a - Geometry (2D Shapes) ... Experimental And Theoretical Probability Worksheet (Answer Key)) File Size: 2207 kb: File Type: pdf: Download File. Probability Practice (used for Goformative) File Size: 211 kb: File Type:
An experiment consists of rolling a number cube. Use the results in the table to find the experimental probability of rolling an even number.1 32 63 24 7 5 46 5. 2/3= 67%. What is the probability, to the nearest hundredth, that a point chosen randomly inside the rectangle is in the circle? 0.22. A bag contains yellow-, blue-, green-, and red ...
Have students calculate the probability of choosing a raw egg after each turn. 7. Bean Boozled - This is another great activity from a teacher in our Facebook Group. Place X amount of fruity jelly beans and X amount of gross jelly beans in a bag. As a class, have students taking turns removing a jelly bean and eating it.
Homework Statement Probability a student gets an A on the midterm is 13.96% Probability a student gets an A on the final is 13.12% Probability a student gets an A on both the final and the midterm is 5.7% What is the probability that a student doesn't get an A on the final or the midterm? Homework Equations 3. The Attempt at a Solution [/B] I would think that the probability of not getting an ...
the outcome of one event does not impact the probability of the other. interpolate. estimate between data points. inter-quartile range. the difference between the largest and smallest of the middle 50% of the data set. Study with Quizlet and memorize flashcards containing terms like central tendency, combination, complement and more.