Simply start with a rough square (see below). For example, when tossing a number cube, what is the probability of tossing a 2 or a 5? In this situation, both events cannot happen at the same time. 7th grade math worksheets, 7th grade skeletal system study guide and compound events probability word problems are three of main things we will show you based on the gallery title. In the probability language, to throw a dice is random experiment. For instance there are many worksheet that you can print here, and if you want to preview the Compound Events Probability Worksheet simply click the link or image and you will take to save page sect. This quiz and attached worksheet will help gauge your understanding of the probability of simple, compound and complementary events. Videos, Practice Questions and Textbook Exercises on every Secondary Maths topic. 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. Displaying all worksheets related to - Probability Compounds. Part E (Compound Eventsl What is the probability that at most 2 friends married their first loves?. A single die is rolled. P(greater than 8) 7. with more related ideas as follows 6th grade printable math puzzles worksheets, 3rd grade math word problems worksheets and compound probability worksheets. Tossing a die is a simple event. Dependent events – one event is affected by the outcome of the other event. Online games and resources for probability This is an annotated and hand-picked list of online tutorials, games, worksheets, and activities for probability. Use picture to help kids understand Single & Compound Events. Compound probability has a variety of skills for students to learn. P(even or odd) 4. The correct answers are on at the bottom of the page Find the probability for each problem below. To record the results, use a chart that keeps the independent events separate and shows all of the outcomes. Purplemath's "Homework Guidelines for Mathematics" will give you a leg up, explaining in clear terms what your math teacher is looking for. For this probability worksheet, students use weighted tree diagrams to explore many-stage probabilities. com Find the volume of each figure. com provides simple info on function operation worksheet, equivalent fractions and notation and other math topics. Basic Fact Worksheets. Tossing two dice is a compound event. You can calculate the probability of a series of independent events by using the Multiplication Rule of Probability as follows: P ( A and B ) = P ( A ) × P ( B ) Dependent events are two or more events that occur in sequence where the outcome of the first event does affect the outcome of the events that follow. What is the probability of selecting two S’s if the first card is replaced before S’s if the first card is not replaced before. Recognize the effect of the Law of Large Numbers on experimental probability Resources/Materials Needed: Approximately two large bags of M&M's (enough to give each group. A sum of money doubles itself at compound interest for 9 years. Get help for maths through pre-recorded lessons for middle, high, senior, secondary school and community college students. 7th grade math worksheets, 7th grade skeletal system study guide and compound events probability word problems are three of main things we will show you based on the gallery title. P(multiple of 2 or multiple of 3 I a -g 2. Multiply the Binomials Worksheet 1. If a total of eleven raffle tickets are sold and two winners will be selected, what. Multiply the Binomials Worksheet 1. Simple Probability. One activity has no impact on the other one. doc L1 Exp probability completed. The probability that a coin will show head when you toss only one coin is a simple event. Conditional Probability Calculator. Answer: If the first card is king and the card is not replaced, what is the probability of selecting a king from the second card? Answer: Find the probability of selecting a king from the first card and a queen from. It can also be defined as an event that contains more than one sample points in it. To print this worksheet: click the "printer" icon in toolbar below. Extend 7 SP 8a- Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample. 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. 8 Computation of Compound Probabilities 8-1 8. Step 2: Recall the work done in the Make Sense of Basic Probability lesson plan on tree diagrams and ask for a volunteer to explain how all the outcomes for three flips in a row could be depicted. Joanne is guessing which day in November is Bess’s. Calculating Compound Event Probabilities Posted on April 29, 2016 Written by The Cthaeh 1 Comment Probabilities can be thought of as measures of uncertainty in the occurrence of an event, the truth of a hypothesis, and so on. The probability of a compound event can be calculated if its outcomes are equally likely. Once we have a total probability of 10% for the first n values, then we will have a 90% probability that. Color by answer takes a traditional worksheet and makes it much cooler. Worksheet by Kuta Software LLC Geometry Compound Probability A Name_____ Date_____ ©W Y2s0I1s7N uKMunt^ax zSVo_fvt`w_a[rYeL sLGLVCJ. Each day you want generate a unique daily worksheet, simply visit your bookmark. Worksheets > Math > Grade 4. Download, Fill In And Print Compound Probability Worksheet - Lassiter High School Pdf Online Here For Free. Probability of pound Events. Related SOL 7. The coin lands heads-up and the die shows a one. 12A2 - HW Calendar. 03; Create a table to record the outcomes for 10 coin flips. Free Algebra 1 worksheets created with Infinite Algebra 1. After answering questions, I distribute Homework and dismiss students. Multiplication rule probability (General) The multiplication rule is a way to find the probability of two events happening at the same time (this is also one of the AP Statistics formulas). Compound Events Exercises Skip to navigation. Write all answers in lowest terms. ) What I want my students to be able to do with compound probability. This is the Probability Of Compound Events Worksheet section. Solve simple theoretical probability problems 2. In the probability language, to throw a dice is random experiment. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. The value of probability lies between 0 and 1. [1] Simple probability - two way tables and. These materials can help you quiz yourself. If told, however, that the individual drawn at random was married and well liked by colleagues, subjects judged the probability that the person was an engineer as just. Enrich your students' math skills with the Super Teacher Worksheets collection of perimeter worksheets and activities. Probability of Compound Events Answers 1. Probability Concepts You need to know how to: • Calculate probabilities of random events. regents books. Set of vocab terms involving probability of compound events. 8a Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. Simple and Compound Probability - Grade 7 Common Core Mathematics CC. CBSE Class 8 Mathematics Worksheet - Compound Interest - Practice worksheets for CBSE students. Probability - Conditional and Two-way Tables Probability Rules for any Probabilistic Model: 1) Sum of all P(Events) = 1 2) All probabilities must be 0 ≤ P(Events) ≤ 1 3) P(Event) + P(Event's Compliment) = 1 4) P(certainty) = 1 and P(impossibility) = 0 Conditional Probability: Finding the probability of an event given that something else. third grade probability worksheets 5th fun math pdf related post tree diagram problems and answers elegant compound lovely images mul. Given that it is rainy, there will be heavy traffic with probability 1 2, and given that it is not rainy, there will be heavy traffic with probability 1 4. Find the probability of rolling a 2 or an odd number. P(A and B) P(A) P(B following A) •To find the probability of one or the other of two mutually exclusive events, add the probability of the first event to the probability of the second event. For this reason it is important to be familiar with the algebra of sets. PROBABILITY & COMPOUND EVENTS #1. 5625% 2 2 cm2 3. Describe what it means for two events to be mutually exclusive. What is the probability he chose a red marble and then a green marble? Multiply to find the total number of 12 ∙ 12 = 144. Simple and Compound Probability - Grade 7 Common Core Mathematics CC. Simple Probability. He keeps track of how many boys and girls do not complete their homework. It can also be defined as an event that contains more than one sample points in it. Definition Of Probability. 1 [49 KB] Word Worksheet 10. If you're behind a web filter, please make sure that the domains *. Compound Probability What is the Probability of drawing 2 Green Jelly Beans in a row? ROLU MATH YOUR Name FRIEND Phone No. Compute Probabilities of Compound Events 2. P(even or odd) 5. Compound Interest Worksheet. 7 million people over 65 years of age out of a U. Probability can be expressed as a percentage, a fraction, a decimal, or a ratio. Printable in convenient PDF format. Find the website with the following example then answer the question. Find each compound probability. Find each compound probability. Can lead to an excellent discussion of relative frequency for all of the types. With compound events, we will use the same formula to calculate the probability of each event occurring. The purpose of this experiment is to introduce the scientific method by having the students hypothesize, count, analyze and conclude which company packs candy more reliably - Skittles or M&Ms. Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Independent and Dependent Events Name_____ Date_____ Period____ Determine whether the scenario involves independent or dependent events. The probability of two independent events is obtained by multiplying the probability of the first event by the probability of the second event. The percentage worksheet helps kids practice simple percentage math without any limitation on the number of downloads. You have studied and practiced simple probability in previous years, such as rolling a die. Probability. population of 394 million. P(~A) = probability of event A Engineering Formula Sheet Probability Conditional Probability Binomial Probability (order doesn’t matter) P k (= binomial probability of k successes in n trials p = probability of a success –p = probability of failure k = number of successes n = number of trials Independent Events P (A and B and C) = P A P B P C. 3 Experimental Probability of Compound Events A compound event can include events that _____on each other or are _____. What is Science? 1. Over time, a student analyzes her ability to guess correctly after narrowing down multiple choice answers in a 5-selection question. Regardless of what your business planning objectives, cash flow remains the resource in the organization, and handling cash is the one small business function. Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. To find a compound probability make a list, tree diagram or table to count the number of possible outcomes (sample space) and count the number of favorable outcomes (events). This means that most of the links on this page are not yet active. If all outcomes of an experiment are equally likely, then the probability is given by, Probability of an event =. What is the probability that itwill land with a. Compound events involve the probability of more than one event happening together. 781609 rounded to hundredths is 0. In compound probability of 2 events A and B, we may face the following situation. P(multiple of 2 or multiple of 3 I a -g 2. Loading Unsubscribe from Jason Bibza? Probability of Compound Events & Tree Diagrams - Duration: 8:09. I have tried to gather only the best, to make sure they are truly useful for my site visitors!. Tossing a die is a simple event. For example, the probability of being dealt the very rare poker hand,. Introductory Probability- Compound and Independent Events, Mutually Exclusive Events, Multi-Stage Experiments. Worksheets are Name period work 12 8 compound probability, Computation of compound probabilities, Probability work 6 compound, Probability of compound events, Probability compound events 1, Probability of compound events, Probability and compound events examples, Probability with combinatorics date period. Find each compound probability. If a boy is randomly selected from the group, what is the probability that he likes either chocolate or strawberry ice cream, but not both? Use a Venn Diagram. About This Quiz & Worksheet. Also covered in the video is the difference between independent and. A list of student-submitted discussion questions for Probability of Compound Events. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers. Download, Fill In And Print Compound Probability Worksheet - Lassiter High School Pdf Online Here For Free. Key definitions, theorems, and procedures are also included. See also:. They determine the compound probability of events such as spinning a spinner, tossing a game cube, drawing marbles from a jar (with. Practice using sample space diagrams to find probabilities. On the other side of the page students color in a bunny. Here you will find all we have for Probability Of Compound Events Worksheet. The Guidelines link to examples of common errors, and demonstrate techniques that your instructors will love!. To record the results, use a chart that keeps the independent events separate and shows all of the outcomes. Grade 4 math worksheets from K5 Learning. For any exam questions which are taken from Edexcel papers: Pearson Education accepts no responsibility whatsoever for the accuracy or method of working in the answers given. Choose from a variety of fun topics! Check out the entire collection of perimeter worksheets here. Advanced Preparation by Teacher: Two standard decks of 52 playing cards Probability of Multiple Events Worksheet Procedure: Intro: Use the decks of cards to demonstrate the difference in probabilities of single. Once we have a total probability of 10% for the first n values, then we will have a 90% probability that X > n. 7 million people over 65 years of age out of a U. com You will need to understand how to project cash flow. Write a formula for computing P(A or B) that applies to any events A andB. 9 Materials Chart paper Markers. Find the probability that the student is male. Find each compound probability. Probability and Statistics > Probability > Multiplication Rule Probability. 125% 3 4 cm2 6. 3 - Know and apply the characteristics of the normal distribution. Students will use a tree diagram to derive the formula for compound probability; and Students will use the formula for compound probability to calculate the probability of multiple independent events. "My favorite feature of Biglearners. P(less than 5) 6. This is the Probability Of Compound Events Worksheet section. Conditional Probability Independent Practice Worksheet Math from Compound Probability Worksheet, source:pinterest. To record the results, use a chart that keeps the independent events separate and shows all of the outcomes. algebra 1 unit 2 review. First, it's a useful way to verify a theoretical probability. Solutions for the assessment Simple probability - two way tables and frequency tables 1) P(female and got a grade B) = 19 88 2) P(is male) = 38 59 3) P(got an A) = 17 49 4) a) P(score of 8) = 3/46, b) P(score of 4) = 1/23 5) a) P(less than or equal to 11) = 9/13, b) P(greater than 13) = 1/13 6) a) P(less than or equal to 11) = 7/9, b) P(greater. 1 Revised June 2010 Compound Events Name _____ Per ___ Date _____ A bag contains 2 green, 9 brown, 7 yellow, and 4 blue marbles. 03; Create a table to record the outcomes for 10 coin flips. In that case you can find the probability of two events occurring by multiplying the probabilities of the two events. Simply start with a rough square (see below). Showing top 8 worksheets in the category - Simple And Compound Sentences. 7th grade math worksheets, 7th grade skeletal system study guide and compound events probability word problems are three of main things we will show you based on the gallery title. Sample space: The set of all possible outcomes in a probability experiment. What is the probability the question is solved if the probability A solves is 2/3 and the probability B solves is 4/5? Solution:. You will find addition lessons, worksheets, homework, and quizzes in each section. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. It was patriotically heart-warming to see that so many people have our nation's welfare at heart and therefore want this buffoon out of the Oval Office. P(3 or 4) 2. On the first selection, a marble is chosen at random and not replaced. P(greater than 8) 7. If chosen randomly, what is the probability that you will take Mike, Tom, and Chris? 2. Methods: Make a work sheet for the students to write their hypotheses, results and conclusion. This website and its content is subject to our Terms and Conditions. 7th Grade Probability of Compound Events: Worksheet Three Name _____. This resource is a simulation of how odds change as a horse race progresses. A worksheet can be ready for any subject. Try our hands-on math activities in your math centers next time you need something to get your kids engaged and motivated to learn!. (Do you remember what this is?) The number of M&M’s in a color is placed in the numerator, the total number of M&M’s is placed in the denominator. PROBABILITY & COMPOUND EVENTS #1. Probability is the study of what will "probably" happen based upon a mathematical perception of "chance". This unit was authored by a team of Colorado educators. Displaying all worksheets related to - Compound Probability. Our intention is that these Probability Worksheets Puzzles pictures collection can be a resource for you, bring you more examples and also bring you what you search. She recorded the suit of the card she picked, and then replaced the card. A worksheet is usually a sheet of paper provided by a school teacher to students that lists tasks for the kids to accomplish. 7th Grade: 7th Grade Pre-Ap: Sets and Subsets Rational and Unit 4. Create your own math worksheets. 36 Lesson 2-H ~ Compound Probabilities Using Multiplication & Simulation Ross has a bag of marbles that has three red, four blue and five green marbles. Show the coin to the class and ask what is the probability of the coin landing on heads. Some of the worksheets displayed are Name period work 12 8 compound probability, Probability work 6 compound, Probability and compound events examples, Probability compound events 1 directions, 12 9 probability of compound events, Probability with combinatorics date period, Independent and dependent events, Probability of compound events. Each combination is equally likely. Modal verbs: worksheets, printable exercises pdf, handouts to print. New A range of new products added!. There are 3 marbles (yellow. A Probability Of Compound Events Worksheet is many short questionnaires on an actual topic. The probability of two independent events is obtained by multiplying the probability of the first event by the probability of the second event. Probability of pound Events. P(red and red and red) 11. 12A2 - HW Calendar. Includes a math lesson, 2 practice sheets, homework sheet, and a quiz! Receive free math worksheets via email:. Tossing two dice is a compound event. Worksheet #3: Unions and Intersections Answer Key 14. Let H = Heads and T = Tails. Introductory Probability- Compound and Independent Events, Mutually Exclusive Events, Multi-Stage Experiments. 7 million people over 65 years of age out of a U. Probability calculator is a online tool that computes probability of selected event based on probability of other events. The formulas produce are for the right triangle, common triangle, equilateral triangle, isosceles triangle, square, rectangle, parallelogram, rhombus, trapezoid, pentagon, hexagon, and octagon. Explain that a square or rectangle is useful for a compound event since it has sides. Have enough copies of Probability and Compound Events Checklist (See Associated File) for each student. " Parent, Cupertino, CA. Use your math skills and find the value of the rabbit, giraffe, mermaid and frog. Examples will make this clear. Probability Mon, Apr 20 Experimental Probability - note and worksheet: Experimental Probability Worksheet. P(multiple of 2 or multiple of 3) 6. Find each compound probability. Tree diagram -A diagram used to show the sample space. This resource is part of the Math at the Core: Middle School Collection. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers. The Probability Calculator computes the probability of one event, based on probabilities of other events. Wide range of 8th grade Math topics prepared by expert tutors. Get Started. P(greater than 8) 7. a Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. Grade 7 independent dependent events Worksheet. You're gonna randomly pick one of these nine outcomes. Before You Continue. The probability of heads on a coin toss, for instance, is not affected by the results of a prior toss of the same coin and so is independent. NARMOD SPESMLA DCEEUD CITRDEP Now arrange the letters in the gray boxes above to answer the following riddle. Well, let's just think a little bit about it. about Guided notes and examples, independent practice and group activities help your Probability Terms Worksheet with Word Bank. In the second category, you will be asked to depict certain events as a simple fraction. Probability Concepts You need to know how to: • Calculate probabilities of random events. Probability is the study of what will "probably" happen based upon a mathematical perception of "chance". Some of the worksheets displayed are Name period work 12 8 compound probability, Computation of compound probabilities, Probability work 6 compound, Probability of compound events, Probability compound events 1, Probability of compound events, Probability and compound events examples, Probability with. Compound Probability Worksheet. In this 100% free calculus worksheet, students must find Taylor and Maclaurin Polynomials of a stated degree with the Langrange form of the remainder. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Compound Events Worksheet Toss Pictures to share, Probability Of The Probability Of Compound Independent Events Compound Probability Worksheets PDF Probability Of Independent And Dependent Events 7SP. Analyze probabilities to interpret odds and risk of events. A jar contains 3 red marbles and 2 black marbles. What is the probability of drawing one green marble (simple probability) 1 / 4; I push students to see the connection; more specifically discover the rule or algorithm for calculating compound probability (multiply the simple probabilities of each favored outcome). 7th grade math worksheets, 7th grade skeletal system study guide and compound events probability word problems are three of main things we will show you based on the gallery title. Step 2: Recall the work done in the Make Sense of Basic Probability lesson plan on tree diagrams and ask for a volunteer to explain how all the outcomes for three flips in a row could be depicted. Some of the worksheets displayed are Sentence types simple compound complex and compound, Simple and compound sentences work, Simple and compound sentences work, Simple or compound sentence 2, Compound sentences, Simple compound and complex sentences, Simple compound complex sentences. 1 [49 KB] Word Worksheet 10. Standard probability themes like coins, spinners, number cubes, and marbles are featured along with some other situations. View Related Worksheets and Resources (1 No. 8a Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. overdetermined system of equations. Easily check their work with the answer sheets. In 2000, there were 34. Probability: A number between 0 and 1 that measures the likelihood of an event happening. Find the probability that the student is female and got a grade B. Summary: To find the probability of event A or B, we must first determine whether the events are mutually exclusive or non-mutually exclusive. Round the answer to two decimal places. a Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. Click a link below to access the Algebra 1 worksheet for a specific section. Solve simple theoretical probability problems 2. 1) Beth and Shayna each purchase one raffle ticket. third grade probability worksheets 5th fun math pdf related post tree diagram problems and answers elegant compound lovely images mul. Tossing two dice is a compound event. She throws a dice 600 times. Example: Roll a die and get a 6 (simple event). Find the website with the following example then answer the question. 7th grade compound events math worksheets to learn that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. Essential Understanding You can write the probability of a compound event as an expression involving probabilities of simpler events. Welcome to Corbettmaths! Home to 1000's of maths resources: Videos, Worksheets, 5-a-day, Revision Cards and much more. P(A and not 2) 7. P(even or 7) 3. com is certainly the best destination to go to!. 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. PLEASE NOTE: This navigation system is still under development. Choose from a variety of fun topics! Check out the entire collection of perimeter worksheets here. He chooses one marble, replaces it and then chooses a second marble. Apply the Addition Rule and interpret answers in terms of the context provided. Here is the Compound Events Probability Worksheet section. Conditional Probability Worksheet. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. Covariance. Seriously, we have been noticed that Probability Of Compound Events Worksheet With Answer Key is being one of the most popular issue dealing with document sample right now. docx Hunger Games Survey. 25% 4 8 cm2 12. Apply the Addition Rule and interpret answers in terms of the context provided. Marilyn stuck. If it's rainy and there is heavy traffic, I arrive late for work with probability 1 2. Wide range of 8th grade Math topics prepared by expert tutors. She scores six 200 times. Use the FOIL method to complete the binomial worksheets. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers. This is a probability worksheet 7 th grade pdf for math practice and reviews. Download Class 8 Probability worksheets for free in PDF format from UrbanPro. I have tried to gather only the best, to make sure they are truly useful for my site visitors!. MEMORY METER. He puts students who don’t complete their homework into two categories: first-time offenders and repeat offenders. The Math Forum's Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. 1 Revised June 2010 Experimental and Theoretical Probability Name _____ Per ____ Date _____ Amanda used a standard deck of 52 cards and selected a card at random. The cards are placed in a basket. and not R) Suppose that two tiles are drawn from the same collection shown above. Com where eggs are a matter of three-dimensional geometry and chocolate bars are broken up and used for fractions! On this page, you will find Easter math worksheets on a variety of topics including addition, multiplication and statistics. P(blue and red) 13. Compare your results with a classmate and write a paragraph to discuss why your results varied or not. Probability definition is - the quality or state of being probable. Contains a whole lesson. When rolling 2 dice, what is the probability of getting an even sum or a number greater than 10? 9. The probability of an event is always a number between zero and 100%. Our intention is that these Probability Worksheets Puzzles pictures collection can be a resource for you, bring you more examples and also bring you what you search. compound event, which consists of two or more events linked by the word and or the word or. The probability of a compound event can be calculated if its outcomes are equally likely. The probability is found by creating a ratio. Conditional Probability Independent Practice Worksheet Math from Compound Probability Worksheet, source:pinterest. Create your own math worksheets. This quiz and attached worksheet will help gauge your understanding of the probability of simple, compound and complementary events. Search this site. Find each probability. Find the probability of picking a female or a person from Florida out of the committee members. Theoretical and Experimental Probability Solve. probability was. When rolling 2 dice, what is the probability of getting an even sum or a number greater than 10? 9. algebra 1 unit 2 review. What is the probability that you fl ip two heads? Method 1: Use a tree diagram to fi nd the probability. We know the sample space and we know each of the outcomes are equally likely. Dependent ; WORKSHEET- this is what you must pass in (completed)! When more than one event is taking place with numerous possible outcomes, this is known as compound probability. Probability of Compound Events. You can choose to include answers and step-by-step solutions. Probability & Compound Events Worksheet 1 - This probability worksheet features 13 short word problems where you will calculate the probability of compound events happening, like missing a free throw three times in a row. Once you’ve tried out our free worksheets, why not explore all our resources (1000s of worksheets, interactive tutorials, learning packs and more) with a 14-day trial subscription for only £1. In this exercise kids have to solve the problems as requested and in each case understand how to find the likelihood, least or most probable outcome. Compound Events 1 Probability and Compound Events Examples 1. Worksheets in both Language and Math are simply awe-inspiring. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers.