Theoretical Probability Grade 8

You are here: Home › Members › Mr. This Planning Guide can be accessed online at:. Yellow; Sample answer: The experimental. Homework_for_year_pg_1. Probability Worksheet 1. Number of possible outcomes is 12. They develop their understanding of probability through analyzing experiments, calculating theoretical probabilities, and designing and running their own simulations to model real-world situations (MP. theoretical and experimental probability worksheet worksheets grade math with answers gallery 8 ma best of. MATH (grade 8):. During the the experiment what are the experimental probabilities of all the numbers 1-6? Here is a quiz on Probability. Find the cumulative probability for 8 in a binomial distribution with n = 20 and p = 0. 8 A duel among three people A, B and C is carried out according to the Russian roulette. The assumption made in this. • Probability and Statistics for Engineering and the Sciences by Jay L. ) What is the theoretical probability for rolling a number greater than 4? 6. If you pick a card at random, what is the probability that its letter will be L or E? 7. Marble Game This problem gives you the chance to: use probability in an everyday situation Linda has designed a marble game. The number 1 occurred more than expected. Identify all possible outcomes of a probability experiment, differentiate between experimental and theoretical probability, determine the theoretical probability of outcomes in a probability experiment, determine the experimental probability of outcomes in a probability experiment, compare. They calculate probabilities of compound events using lists, tables, tree diagrams, and simulations (7. The comprehensive lesson plans outlined below provide a detailed list of the Time4Learning eighth grade math curriculum. Mathematics, Grade 8. When we throw the coin 40times the head part appeared 15 times. theoretical probability. Three additional units continue to be available from the first edition of Connected Mathematics to meet specific state or local needs (1 at each grade level). Displaying all worksheets related to - Theoretical Probability. probability worksheets grade 8 grade probability worksheets probability worksheets grade 8 pdf. 2 x 160 = 32 It would be expected that she is wrong 32 times. Data Analysis and Probability. If Yuki randomly selects a card from the deck, what is the probability that it is a red card? A. The results are in the table below. Middle School Mathematics Grade 7 Unit 7. The answers for these pages appear at the back of this booklet. Sequences 6. What is the theoretical probability of getting a yellow ball? Since you have 4 yellow balls playing on your favor, the number of favorable outcomes is 4 To get the number of possible outcomes, just count all the balls. Mutually exclusive and inclusive events, probability on odds and other challenging probability worksheets are useful for grade 6 and up students. Using the spinner example to help you, explain in your own words how to find the theoretical probability of an event. one Reteach and Skills Practice worksheet for every lesson in California Mathematics, Grade 5. In the "Describing Chances" games you will get questions regarding the likeliness of events to occur, whether certain or impossible, more likely, less likely or equally likely. The probability of an event is given by – The Number Of Ways Event A Can Occur The total number Of Possible Outcomes. A student must make sense of these probabilities and be able to represent the sample. Mathematics. Yellow; Sample answer: The experimental. The student applies concepts of theoretical and experimental probability to make predictions. Theoretical Probability Worksheets Theoretical Probability Worksheet 1 – Here is a fifteen problem worksheet where students will learn to use fractions to describe the probability of an event. How does the experimental probability compare with the theoretical probability?. French with probability 5/8, and art. Grade 8 Math and Adaptive Curriculum BC Ed Plan logic and patterns to solve games and puzzles Not Directly Covered - however many activity objects include logic and patterns percents less than 1 and greater than 100 (decimal and fractional percents) Using Percents to Solve Problems, Simple Interest, Using Percent Model and Percentage of Mixtures. (1) Within a well-balanced mathematics curriculum, the primary focal points at Grade 8 are using basic principles of algebra to analyze and represent proportional and non-proportional relationships and using probability to describe data and make predictions. If you're behind a web filter, please make sure that the domains *. 8: We wrapped up our current unit on transformation geometry, Butterflies, Pinwheels, and Wallpaper, this week with review and a unit test. When you move on, you will start to show one of many conceptual approaches to finding the theoretical probability using a combination of a set, area, and linear model. They use random digits and are designed for the probability lessons in Math Mammoth Grade 7 curriculum. 52%, and the theoretical probability is 20%. 5d) TSW… determine probability through experimentation and calculations. For instance, when a fair die is rolled each face is equally likely to wind up on top, and so the probability of any particular face showing is one-sixth. Experimental (empirical) probability is probability calculated during experiments , direct observation, experience, or practice. How does the experimental probability line up with the theoretical probabilities you discovered for a, b, c, and d? Students in grade 8 are each given one flower seed from a package of mixed flower seeds. Eric has a bag of. 7th Grade Advanced Topic IV Probability, MA. determining the theoretical probability of two. • Review Fractions, Percents, and favourable outcomes vs. Experimental Probability Answer Key - Displaying top 8 worksheets found for this concept. The middle number of an ordered set of numbers. probability closest to the theoretical probability? Explain. Use picture to help kids understand Theoretical Probability. Theoretical probability is probability obtained by analyzing a situation. (1) Within a well-balanced mathematics curriculum, the primary focal points at Grade 8 are using basic principles of algebra to analyze and represent proportional and non-proportional relationships and using probability to describe data and make predictions. Find the probability that X=8 for a normal distribution with mean of 10 and standard deviation of 5. If you pick a card at random, what is the probability that its letter will be L or E? 7. Grade 8 Math and Adaptive Curriculum BC Ed Plan logic and patterns to solve games and puzzles Not Directly Covered - however many activity objects include logic and patterns percents less than 1 and greater than 100 (decimal and fractional percents) Using Percents to Solve Problems, Simple Interest, Using Percent Model and Percentage of Mixtures. 9) Statistics and Probability 8. Do you know white men are really intelligent? I read the difficult magazines they write all day long. Create a game spinner with variable sized sectors to look at experimental and theoretical probabilities 7. 15x + 22 12x -10 C. In Unit 8, seventh-grade students finish the year with their first encounter with probability. Anywhere Math 86,565 views. But the Theoretical probability is 1/2. As the number of experiments/trials is increased, the experimental probability of an event occurring gets closer to the theoretical probability of the event occurring. Showing top 8 worksheets in the category - Theoretical Probability Grade 8. 2 Rates; Lesson 16. NOW is the time to make today the first day of the rest of your life. theoretical probability. Part B For which color is the difference between the theoretical probability and experimental probability greatest? Explain. The NAEP Mathematics Achievement Levels by Grade. Thinkwell's 8th Grade Math Companion course features online video lessons and interactive exercises that are both effective and enjoyable. Further, the formula for theoretical probability is presented as the division of the number of outcomes favourable to an event E by the of all possible outcomes of the experiment. For instance, when a fair die is rolled each face is equally likely to wind up on top, and so the probability of any particular face showing is one-sixth. Leila arrives at the airport 3 hours before her flight to Chicago because each of the past 4 times she has travelled to the USA, it took her over 1. Printable worksheets and online practice tests on Probability for Grade 10. ) What was the experimental probability of rolling a number greater than 4? 7. Adjustable Spinner - Students can create a game spinner with variable sized sectors to look at experimental and theoretical probabilities. Experimental probability C. Learn grade 8 math with free interactive flashcards. ) If a car factory checks 360 cars and 8 of them have defects, how many will have defects out of 1260?. Grade 8 Data Management and Probability Ontario Educational Resources Bank (OERB) Activities Probability (Continued) Activity Description Odds Are Resource ID: ELO1413570 Build understanding of the difference between theoretical and experimental probability by making predictions, completing dice rolling simulations and making comparisons. A student leader ought to also be selected to continue helping the students in the group in case I need to visit and help other students. How does the experimental probability line up with the theoretical probabilities you discovered for a, b, c, and d? Students in grade 8 are each given one flower seed from a package of mixed flower seeds. Unit 6: Ratio, Proportion, Percent, and Probability. In other words,the empty set ϕ is an impossible event and the sample space S is a sure event. theoretical and experimental probability worksheet worksheets grade math with answers gallery 8 ma best of. Tes Global Ltd is registered in England (Company No 02017289) with its registered office at 26 Red Lion Square London WC1R 4HQ. Displaying top 8 worksheets found for - Theoretical Vs Experimental Probability. Fuel Sense Making: Visualizing Theoretical Probability. Venn diagrams are introduced and used to answer probability problems. In compliance with Federal law, including Section 504 of the 1973 Rehabilitation Act and the provisions of Title IX of the Education Amendments of 1972, New Hanover County Schools administers all state-operated educational programs, employment activities, and admissions without discrimination because of disability, race, religion, national, or ethnic origin, color, age, military service, or. This chapter covers the use of probability models to compare relative frequency to theoretical probability. Baer's Homepage. AP Calculus AB Course Information; AB Calculus Homework. The value of probability lies between 0 and 1. Thinkwell's 8th Grade Math Companion course features online video lessons and interactive exercises that are both effective and enjoyable. Mathematics. What is the probability that his number will be 8? 6. Theoretical probability is a way to describe how you found the chance of winning an MP3 player in the scenario above. Lesson 12-1, 12-2 Probability (Textbook Pages: 580-589) Extra Resources. Record your results. Drawing on various sources, including the literature, theoretical framework, interviews, and lesson observations, the study explored strategies used by mathematics teachers to teach probability to these learners. Experimental (empirical) probability is probability calculated during experiments , direct observation, experience, or practice. This result of reasoning alone is called a theoretical probability. Further, the formula for theoretical probability is presented as the division of the number of outcomes favourable to an event E by the of all possible outcomes of the experiment. In this theoretical probability worksheet, students determine the probability of ten simple events. Grade 8: Data 5. The must be precise (MP 6), however, and not eat any too soon!. Middle School Mathematics Grade 7 Unit 7. What is the theoretical probability of getting a yellow ball? Since you have 4 yellow balls playing on your favor, the number of favorable outcomes is 4 To get the number of possible outcomes, just count all the balls. MSA Prep Grade 8 Probability. Grade 8 math printable worksheets, online practice and online tests. What is the theoretical probability he will have two heads and the number 7? A) 0 B) 1/4 C) 1/24 D) 1/12. My 7th Grade Math students loved this Probability Worksheet. Once you login to TVO Mathify you’ll be able to connect with an Ontario Certified Teacher of your choice. 1 “Probability” is a very useful concept, but can be interpreted in a number of ways. A number line is included to help students determine if an event is impossible, unlikely, equally likely, likely, or certain. If I spin my spinner 100 times I predict the red. For example, the theoretical probability of rolling a 4 on a four-sided die is 1/4 or 25%, because there is one chance in four to roll a 4, and under ideal circumstances one out of every four rolls would be a 4. theoretical probability, disjointed and overlapping events, and more). If you keep rolling a die, you'll roll a five exactly one-sixth of the time—right? A probability lesson prompts young mathematicians to roll a die 100 times and use the data to calculate empirical probabilities. 10 -1/4 Theoretical and Experimental Probability, Independent and Dependent Events Grade Level and Subject: Grade 8 Pre-algebra (OL and BL, 1 periods, 50 minutes) Instructional Objectives: 1. If you’re going to take a probability exam, you can better your chances of acing the test by studying the following topics. Tossing a Coin. Experimental And Theoretical Probability. Displaying all worksheets related to - Experimental Probability. Because theoretical and experimental probabilities are ratios, we can use proportions with probabilities to make predictions. Here is a question from a previous year. (Actually, "relative frequency" is Common Core code for "experimental probability. Students learn the difference between theoretical probability and experimental probability and how to use these concepts. Students should be able to find expected values and distinguish random variables already. Stout tossed a coin 10 times to determine whether or not it would land on hands or tails. The must be precise (MP 6), however, and not eat any too soon!. For students who scored within a given range, you can enhance their instruction by reinforcing these words. probability of rolling a 6? 8. The de nitions are as follows: De nitions of Probability 1. With this intelligence and the evident basic income solution, the question is one of theoretical and practical solution vs. theoretical probability with two independent events: sample space (e. If there is an even. Probability of being wrong = 1 - Probability of being correct = 1 - 0. Use the probability chart below to decide whether each event below is impossible, unlikely, equally likely, likely, or certain to happen. If Yuki randomly selects a card from the deck, what is the probability that it is a red card? A. Find the cumulative probability for 8 in a binomial distribution with n = 20 and p = 0. Sample graph shown. Grade 8 math printable worksheets, online practice and online tests. The algebra focus is on linear relationships in an effort to prepare students for the Grade 8 Accelerated course (Algebra 1). P(Rolling a 1)= options option n r 6 1 Probabilities must be between zero and one. 11) Probability and statistics. There are 7 red cards and 13 blue cards in a deck of cards. Experimental Probability. What is experimental probability and how does it differ from theoretical probability. Students list all possible outcomes of flipping three coins. Mathematics. It is your deeper theory that lay within your practice. 2014 KCATM Statistics and Probability Grade 8 101. Identifying when a probability is a conditional probability in a word problem. Students will analyze experiments in probability, engage in games to discuss theoretical vs. Provide a statement of the physical theory or principle observed during the exper-iment. pdf Chances Are 7. Find the cumulative probability for 8 in a binomial distribution with n = 20 and p = 0. The number 5 occurred less than expected. Good Luck! April 20, 2017 - Day 1 Students wrote quiz on theoretical probability using tree diagram. Calculate the theoretical probability of the following events (Jason has a cube with colored sides: red, orange, yellow, green, blue, and purple. Grade 6 Math Math 8 Fun Math Math Notebooks Interactive Notebooks Math Books Picasa Web Albums Teaching Math College Math. Grade 12 students have a better understanding than the younger students. For example, if we toss a coin, there is 50 percent chance each that it might be heads or tails. The student applies concepts of theoretical and experimental probability to make predictions. applied in future grades. The value of probability lies between 0 and 1. Seventh Grade Team's Site. You are here: Home › Members › Mr. Probability, Benchmark K. Yellow; Sample answer: The experimental. Demonstrate an understanding of place value for numbers: greater than one million; less than one thousandth. The probability of. Common Core State Standards 8th Grade Math Activities. 8: We wrapped up our current unit on transformation geometry, Butterflies, Pinwheels, and Wallpaper, this week with review and a unit test. For example, find a current data distribution on the number of TV sets per household in the United States, and calculate the expected number of sets per household. theoretical probability by conducting. Actually caviar or fish eggs are quite good actually. The NRICH Project aims to enrich the mathematical experiences of all learners. Mathematics 8 cg 1. When the expectation is a focus of a particular lesson, the lesson number is indicated in brackets. GLENCOE MATHEMATICS Grade 6 4. So, there seems to be a difference here. Connected Mathematics 2provides 24 units (8 at each grade level). 1 Computing For Probability - Classical Probability and Sample Space; 4. The student applies Grade 8 mathematics to solve problems connected to. probability of rolling a 6? 8. What is the probability that the sum of the numbers on the number cubes will equal 4?. The student is expected to (A) find the probabilities of dependent and independent events; and. Seventh Grade Team's Site. The number of inches of each side of between these two whole numbers —, Mr. Probability Worksheets Grade 7 Pdf Probability worksheets by Math Goodies. The theoretical probability of NOT drawing a $1-bill is impossible to calculate. the probability of rolling a 5? Does this represent a theoretical or experimental probability? Explain. I have tried to gather only the best, to make sure they are truly useful for my site visitors!. Unit 1: Functions, Graphs, Limits, and Continuity. TEACHING GUIDE Module 11: INTRODUCTION TO PROBABILITY A. Analyzing Game Probabilities - Take a five question multiple choice quiz. Improve your math knowledge with free questions in "Probability of simple events" and thousands of other math skills. Use the following word lists as you teach the concepts that students are ready to learn. YES! Now is the time to redefine your true self using Slader’s free Geometry Common Core answers. The best we can say is how likely they are to happen, using the idea of probability. Intersection, union, mutually exclusive events and complementary events are all introduced. , theoretical probability of drawing a winning number from a bowl of 20 different numbers is one out of 20, but the experimental results may vary) (Master & Reinforce). In order to help your student, CMP put together a concept and explanations of each unit. Data Analysis and Probability Workbook Answers 14 Answers Data Analysis and Probability Teacher’s Guide 5–8. 10 Name _____ Date _____ Block _____ 1. that are based on theoretical models (7. They develop their understanding of probability through analyzing experiments, calculating theoretical probabilities, and designing and running their own simulations to model real-world situations (MP. (page 3) 2. Students will analyze experiments in probability, engage in games to discuss theoretical vs. pdf Chances Are 7. 50 2 30 Example 4-8 Find the probability of obtaining an even number in one roll of a die. CliffsNotes study guides are written by real teachers and professors, so no matter what you're studying, CliffsNotes can ease your homework headaches and help you score high on exams. Eric has a bag of. Venn diagrams are introduced and used to answer probability problems. The number 1 occurred more than expected. Grade 7 Accelerated has the additional domain, Functions, due to the merged content from Grade 8 and Intermediate Algebra with Probability. Needed Supplies this worksheet die (singular of dice) Probability Prediction Time What is the chance of each of the following happening? Imagine the die were rolled 100 times, what would be the chance out of 100 if this theoretical probability prediction were to remain the same. The student is expected to (A) find the probabilities of dependent and independent events; and. Baer's Homepage. 2: Investigating Probability (Answers) Question 1 a) The probability the uniform will have black shorts is 6 3 or 2 1. You need at most one of the three textbooks listed below, but you will need the statistical tables. Then, the experimental probability is 15/40 –> 3/8. Grade 7 FCAT 2. For students who scored within a given range, you can enhance their instruction by reinforcing these words. There is an group assessment included, however a peer or individual assessment may be required. Solved examples with detailed answer description, explanation are given and it would be easy to understand. Standard probability themes like coins, spinners, number cubes, and marbles are featured along with some other situations. AM Grade 8 Miss Hodgins & Miss Silvestri Posts by narmstro. Mathematics, Grade 8. (Actually, "relative frequency" is Common Core code for "experimental probability. This was such a great way for my Middle school math students to get some work on Theoretical Probability of Simple Events. CCSS: CC: grade 7, D: Statistics and Probability, C: Draw informal comparative inferences about two populations. Probability. Each student will select a favourite (or relevant) algebraic expression and show how the table of values (T-Chart), the number sequence, the picture / diagram and the graph (in the first quadrant) are connect. We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. Intersection, union, mutually exclusive events and complementary events are all introduced. Worksheets are Probability work 4 experimental and theoretical, Experimental probability work show your work, Theoretical probability activity, Theoretical probability 1 directions, Lesson 1 experimental and theoretical probability, Mathematics grade 6 experimental and theoretical probability, Introduction. Therefore, the theoretical probability is 1 out of 20, which is 1/20 or 5%. When you move on, you will start to show one of many conceptual approaches to finding the theoretical probability using a combination of a set, area, and linear model. Use fifth grade math worksheets with your blossoming mathematician. Math Spectrum Test Prep Grade 7 Determine the probability For each oF the Following events. ) and probability (experimental vs. What is the probability that the sum of the numbers on the number cubes will equal 4?. Needed Supplies this worksheet die (singular of dice) Probability Prediction Time What is the chance of each of the following happening? Imagine the die were rolled 100 times, what would be the chance out of 100 if this theoretical probability prediction were to remain the same. probability worksheets grade 8 grade probability worksheets compound probability worksheets 8th grade. (1) The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. Try our Free Online Math Solver! Online Math Solver. Grade: PreK to 2nd, 3rd to 5th, 6th to 8th, High School. There is an group assessment included, however a peer or individual assessment may be required. n(S) is the number of elements in the sample space S and n(E) is the number of elements in the event E. Several di erent de nitions have been created to encompass di erent situations. Grade 8 Data Management and Probability Ontario Educational Resources Bank (OERB) Activities Data Management Activity. Select the number of spinners, the number of sections on a spinner, and a favorable outcome of a spin. Learning Outcomes Content Standard: The learner demonstrates understanding of the basic concepts of Probability. Overlapping Groups 7. First, find the. Questions on Probability. 3 Links verified on 12/24/2015. In order to help your student, CMP put together a concept and explanations of each unit. Includes a math lesson, 2 practice sheets, homework sheet, and a quiz!. , A side of Ari's aquarium is a square with an area of 190 square inches. If you haven’t heard of the new Doritos flavour, here is the commercial. Grade 8 Math and Adaptive Curriculum BC Ed Plan logic and patterns to solve games and puzzles Not Directly Covered - however many activity objects include logic and patterns percents less than 1 and greater than 100 (decimal and fractional percents) Using Percents to Solve Problems, Simple Interest, Using Percent Model and Percentage of Mixtures. Find the probability that X=8 for a normal distribution with mean of 10 and standard deviation of 5. Grade 8 DD. For example, the theoretical probability of rolling a 4 on a four-sided die is 1/4 or 25%, because there is one chance in four to roll a 4, and under ideal circumstances one out of every four rolls would be a 4. Determine the theoretical probability of getting two heads and one tail (P(H)). Three Fun Probability Games and Projects Tags: card game , lesson plan , project , review game I did a lot of research on probability lesson plans this past year, but I really didn't like a lot of what I found. The answers for these pages appear at the back of this booklet. They are only basic but at test time, the slightest extra practice. Use the following word lists as you teach the concepts that students are ready to learn. Amy is going to play one game of snooker and one game of billiards. They learn to use probabilities to make decisions and to determine whether or not a given probability model is plausible (7. Introduction to probability. Observe the di erence between the theoretical probability and relative frequency. What is the theoretical probability that Jake gets heads on this last flip? 1 out of 2 (50%. Challenge your child to measure the dimensions of each box and calculate its surface area. Discuss the relevance of the experiment to. The theoretical probability of NOT drawing a $1-bill is impossible to calculate. Welcome to my website! Thanks for visiting! For our final unit of the school year, we will be investigating probability in depth. This is a quiz on probability. You can also design your own wheel and a sign that describes the probabilities for your wheel. Some of the worksheets for this concept are Experimental probability work show your work, Probability work 4 experimental and theoretical, Mathematics grade 6 experimental and theoretical probability, Lesson 1 experimental and theoretical probability, Theoretical and. Probability worksheets for kids from grade 4 and up include probability on single coin, two coins, days in a week, months in a year, fair die, pair of dice, deck of cards, numbers and more. Sequences 6. We are provide free online math dictionary for kids and also providing free solved math problems with step-by-step solutions on Elementary, Middle, High School Math content. Counting outcomes is an important skill in applying probability formulas. ) What was the experimental probability of rolling a number greater than 4? 7. theoretical probability. 6 What Do You Expect? covers probability, theoretical probability, experimental probability, random events, strategies for finding outcomes, area model, expected value or long-term average and low of large numbers. Probability and Statistics. They use the numeration system and estimation, measurement concepts related to two- and three-dimensional figures, rates, proportions, ratios, and map scales, numeric and algebraic expressions, and theoretical and experimental probability in order to solve real-world problems. You can change your ad preferences anytime. Course Title/ Course #: Math Grade 7/8 Theoretical probability of an event is the expected probability and can be found with a formula. The results are in the table below. With theoretical probability, you don't actually conduct an experiment (i. The Mid-Module Assessment follows Topic B. 1 Generalize the relationship between two sets of data by using scatterplots and lines of best fit. Grade 7 Mathematics STAAR® Practice. An Introduction to Basic Statistics and Probability – p. Theoretical Probability Worksheets Theoretical Probability Worksheet 1 - Here is a fifteen problem worksheet where students will learn to use fractions to describe the probability of an event. Theoretical probability and counting. Lesson 12-1, 12-2 Probability (Textbook Pages: 580-589) Extra Resources. Select the number of spinners, the number of sections on a spinner, and a favorable outcome of a spin. Test out your probability by rolling the die and flipping the coin for 30 trials. Probability is the chance that something will happen, or how likely it is that some event will happen. Every unit develops a “big. Because theoretical and experimental probabilities are ratios, we can use proportions with probabilities to make predictions. First, find the. 8 10 12 4 6 14 0 2 Number of Rolls Number Cube Experiment Number Showing 4 5 10 8 6 9 5 12 a. Some of the worksheets displayed are Experimental probability work show your work, Theoretical probability 1 directions, Mathematics grade 6 experimental and theoretical probability, Probability work 4 experimental and theoretical, Theoretical probability activity, Section experimental probability work. Some of the worksheets displayed are Probability work 4 experimental and theoretical, Experimental probability work show your work, Theoretical probability activity, Theoretical probability 1 directions, Lesson 1 experimental and theoretical probability, Mathematics grade 6 experimental and theoretical. Venn diagrams are introduced and used to answer probability problems. 55 per minute. CCSS: CC: grade 7, D: Statistics and Probability, C: Draw informal comparative inferences about two populations. The online textbook virtually displays book pages and student resources, such as videos and activities, worksheets, and diagnostic tests. This Theoretical Probability Worksheet is suitable for 7th - 8th Grade. How does the experimental probability compare with the theoretical probability?. theoretical probability.