Sample Space Teacher Resources

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Learners use the sample space to make predictions and analyze data. In this statistics lesson, students apply properties of the probability of an event occurring to solve problems.
An engaging task awaits your starting statisticians: design a menu for a new cafe that offers a total of 240 combinations of a main dish, a side, a dessert, and a beverage. Creative juices will flow as collaborative groups employ lists, tables, or diagrams to come up with the possibilities. This is a delicious challenge for your math class when learning how to work with sample spaces and compound events.
Students explore the concept of probability.  In this probability lesson plan, students create a video, poster, or podcast explaining what experiments, sample space, events, and outcomes are in relation to probability.  Students create a brochure or PowerPoint explaining the counting rules.  Students make a video, photostory, or use moviemaker to show teaching a probability lesson plan or how to find the probability of an event.
For this sample spaces worksheet, 7th graders solve 10 different problems related to various types of sample spaces. First, they list the sample spaces for both a dice rolled and a card drawn from a bag. Then, students list the sample spaces for an order that includes different cold drinks and different ice creams.
In this sample spaces worksheet, 9th graders solve 10 different word problems that include sample spaces in each. First, they toss a coin and roll a die listing the sample spaces for each. Then, students flip one coin and select a card from a deck of cards listing the sample spaces for each.
Deciding what to wear can be difficult, but it helps if you know your options. Use a tree diagram to solve word problems like the one in this video! Class members can watch and learn how to find and count possible outcomes (or outfits). Play this video as a complement to your lesson or ask pupils to view it at home.
Use this probability worksheet to have learners complete problems where they list items that are likely or unlikely, list possible outcomes, write ratios, and more. Pupils complete 14 problems.
In this ELL, possible outcomes learning exercise, students solve 5 word problems where they use drawings, lists, and the Fundamental Counting Principle to determine the sample space and the number of possible outcomes for each problem. Definitions of the mathematical terms are provided.
Use this many stage probabilities worksheet to have learners draw tree diagrams to represent given problems. They identify the number of outcomes for each situation. This two-page worksheet contains 10 multi-step problems.
Eleventh graders explore combinations and permutations. In this Algebra II lesson, 11th graders use the Fundamental Counting Principle to calculate the number of outcomes in a sample space. The lesson requires the use of a graphing calculator to evaluate expressions involving factorials and the formulas for the number of combinations and permutations.
Middle schoolers solve and complete four various types of problems. First, they list all the possible orders completed. Then, pupilscomplete the table and show all the outcomes of throwing a coin and spinning a spinner. They also use a sample space diagram to find all the possible outcomes of two different events.
For this probability worksheet, students solve and complete 32 different problems that include the probability and outcome of various events. First, they use the sample space for tossing a pair of dice to determine the probability of each event. Then, students find the probability of a card drawn simultaneously from a deck.
If you have or can create a set of tiles, numbered one through eight, then you can implement this hands-on lesson about probability models. Individuals draw a tile from a bag, record its number, and then return it to the bag. They predict the probability of the product of three draws equalling an odd number. Teach them how to use sample spaces and tree diagrams to do so. The notes for the lesson are fairly simple, but include two assessment questions and an extension suggestion.
In this probability worksheet, students solve and complete 4 different types of problems. First, they list the outcome and sample space for the information provided. Then, students determine the probability that each description will be true.
Students list the sample space of an experiment. In this statistics lesson, students calculate the number of favorable outcome in a given sample space. They define and apply mutually exclusive events versus not mutually exclusive events.
Eighth graders investigate the probability of combined events.  In this eight grade probability lesson, 8th graders use a sample space, two events, and their intersections to determine the probability of each event, their intersection, and their union.   
In this statistics and probability worksheet, students determined the sample space and the probability of a given event occurring.  The one page worksheet contains five multiple choice questions and is self checking. 
Six tasks make probability models come to life with this activity. Sample space diagrams and tree diagrams help statisticians compute probabilities of drawing red, blue, or white beads from a bag. Bold font makes this easy to read, and the problems that students work through are practical. 
In this probability learning exercise, students complete word problems involving coins, letters, evens and odds, and more. Students complete 5 problems total.

New Review Conquering SKUNK

The whole class plays SKUNK, a dice game of chance in which players can opt to keep accumulated points or try for one more roll in hopes that no 1s show up! As a study in probability, they will keep a data table of outcomes in order to develop a playing strategy. Learners answer seven follow-up questions when done with the game. This lesson smells terrific even though "skunk" is the word!

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