Consider the venn diagrams at the right to help you answer the following. Determine whether the scenario involves independent or dependent events. Independent versus dependent events events are independent when the occurrence or nonoccurrence of one of the events carries no information about the occurrence or nonoccurrence of the other event. Check worksheet to make sure there are no mistakes in the questions. Events are said to be mutually exclusive if they cannot happen at the same time.
Worksheets are lesson plan independent and mutually exclusive events, s3 topic 3 probability mutually exclusive events, probability homework mutually exclusive and inclusive events, mutually exclusive events date period, mutually exclusive events, using venn diagrams to solve probability problems. Probability independent and mutually exclusive events. The or rule is used to relate the probability of one independent event happening or another independent event happening at the same time. Find the probability of drawing a yellow ball or drawing a three. How can you simplify this formula when a and b are mutually exclusive. The teacher should check the answers with the students. If a book is randomly selected, what is the probability of. If a book is randomly selected, what is the probability of selecting a literature book or an algebra book. What is the probability that a randomly selected professor is a. Two events are nonmutually exclusive if they have one or more outcomes in common. Worksheets are mutually exclusive events date period, s3 topic 3 probability mutually exclusive events, mutually exclusive events, lesson plan independent and mutually exclusive events, using venn diagrams to solve probability problems, work 6 sample mentoring agreement, probability independent and dependent events work pdf, compound. What is the probability of rolling a 3 or a 4 with a dice. The box also contains six black playing cards numbered. This quiz and worksheet will ask you to identify examples of both mutually.
But the event getting a 3 and the event getting an odd number are not mutually exclusive since it can happen at the same time i. If a and b are mutually exclusive events, then p 0. In each venn diagram above, the sample space of the experiment is represented. You need to determine whether two events a and b are mutually exclusive before you can find pa or b. Find the probability of selecting a boy or a blondhaired person from 12 girls. Mutually exclusive nonmutually exclusive worksheet. Probability of an event happening number of ways it can happen total number of outcomes. Mutually exclusive and inclusive events, probability on odds and other challenging probability worksheets are useful for grade 6 and up students.
Fill in all the gaps, then press check to check your answers. Showing top 8 worksheets in the category mutually exclusive probability. Mutually exclusive events and nonmutually exclusive events the following video shows how to calculate the probability of mutually exclusive events and nonmutually exclusive events. Penny has a green shirt, a purple shirt, and a red shirt. Use this activity to practice calculating probabilities of mutually exclusive events and nonmutually exclusive events. Independent and mutually exclusive events statistics. Exclusive vs inclusive worksheets lesson worksheets.
What is the probability of rolling two standard number cubes. Lesson 4 mutually exclusive and nonmutually exclusive events warm up. Probabilities of mutually exclusive events determine whether the events are mutually exclusive or not mutually exclusive. Write a formula for computing pa or b that applies to any events a andb. This work is produced by the connexions project and licensed under the creative commons attribution license y abstract this module explains the concept of independent events, where the probability of event a does not. Worksheet by kuta software llc kuta software infinite algebra 2 mutually exclusive events. Probability of an event happening number of ways it. The or rule is used to relate the probability of one independent event happening or another independent event happening at. The probability of mutually exclusive and inclusive events for questions 112, determine whether the events are mutually exclusive. Probability of mutually exclusive events worksheets. Mathematically, two events a and b are considered to.
A and b if the two events are mutually exclusive use either of the diagrams below to help you. A clear case is the set of results of a single coin toss, which can end in either heads or tails, but not for both. Students should have encountered conditional probability and may. This 12 question room walk activity contains a student activity sheet, 11 x 8. Teacher may assign activity 1 for group discussion. Two or more events are said to be mutually exclusive if the occurrence of any one of them means the others will not occur that is, we cannot have 2 or more such events occurring at the same time. Determine if the scenario involves mutually exclusive events. The following table shows the breakdown of sex and degree among a universitys faculty. Mutually exclusive and independent events worksheets. Mar 06, 2012 worksheet on mutually exclusive exhaustive events. When two events have no outcomes in common, the events are mutually exclusive events. Post the questions around the room and watch as your studen. In probability theory, two events are mutually exclusive or disjoint if they do not occur at the same time. Kings and hearts, because we can have a king of hearts.
Probability of exclusive events displaying top 8 worksheets found for this concept some of the worksheets for this concept are mutually exclusive events date period, s3 topic 3 probability mutually exclusive events, lesson plan independent and mutually exclusive events, probability homework mutually exclusive and inclusive events, sample space events. The two sets e1 and e2 have no elements in common and their intersection is an empty set since they cannot occur at the same time. Mutually exclusive non mutually exclusive worksheet 7. Can you identify the following pairs of events as mutually exclusive or nonmutually exclusive. Two events are non mutually exclusive if they have one or more outcomes in common. Understanding mutually exclusive events can help you better understand probability. Students to work through this worksheet, in pairs ideally and their outcomesdiscoveries are used to inform the discussion in the next stage of this lesson. Some of the worksheets below are mutually exclusive and independent events worksheets, understand the concept of mutually exclusive events and be able to calculate the probability of mutually exclusive events, definitions of mutually.
She picks a shirt at random and picks a pair of pants at random. You may view or download the pdf version of this worksheet with answers here. Ma 162 spring 2010 ma 162 spring 2010 april 21, 2010 problem 1. Probability of exclusive events worksheets kiddy math. The teacher should first ask the students to study the events in activity 1 and determine whether both events in each case can occur at the same time or not. It is known that a student who does his online homework on aregular basishas a chance of83 percentto get a good.
Using venn diagram, two events that are mutually exclusive may be represented as follows. A simple worksheet where pupils need to identify mutually exclusive events and find missing probabilities. For example, if we toss a coin, either heads or tails might turn up, but not heads and tails at. For the following pair of events, a determine if the two events a and b are mutually exclusive, and b find the probability that a or b or both happens. Mutually exclusive events definition with solved example. Displaying all worksheets related to exclusive vs inclusive. There are 3 literature books, 4 algebra books, and 2. Mutually exclusive events and non mutually exclusive events the following video shows how to calculate the probability of mutually exclusive events and non mutually exclusive events. This is the probability formula for mutually exclusive events.
Find the probability of drawing a red ball or drawing an odd number ball. Sampling may be done with replacement or without replacement figure \\pageindex1\. Mutually exclusive nonmutually exclusive worksheet 7. In an experiment, the probabilities of the events e, f and g are known to be 0. For questions 112, determine whether the events are mutually exclusive. If each member of a population is replaced after it is picked, then that member has the possibility of being chosen more than once. Mutually exclusive events solutions, examples, videos. Use this activity to practice calculating probabilities of mutually exclusive events and non mutually exclusive events. In the venn diagram above, the probabilities of events a and b are represented by two intersecting sets i. Events are mutually exclusive if they cannot happen at the same time. Some of the worksheets displayed are mutually exclusive events date period, probability homework mutually exclusive and inclusive events, s3 topic 3 probability mutually exclusive events, probability, in, probability work 1, using venn diagrams to solve probability problems, addition and.
This lesson plan covers mutually exclusive events and includes teaching tips, common errors, differentiated instruction, enrichment, and problem solving. Find the probability of selecting a boy or a blondhaired person from 12 girls, 5. Mutually exclusive and inclusive probability worksheet. Mutually exclusive exhaustive events teaching resources. The suggested answers are provided on the last page of the worksheet. Mutually exclusive events cannot both happen at the same time.
Lets look at the probabilities of mutually exclusive events. Common core state standards cc probability of macc. If a book is randomly selected, what is the probability of selecting a literature book or an algebra. Oct 08, 2019 some of the worksheets below are mutually exclusive and independent events worksheets, understand the concept of mutually exclusive events and be able to calculate the probability of mutually exclusive events, definitions of mutually exclusive events, equally likely events, independent events.
Mutually exclusive nonmutually exclusive worksheet7. When events have at least one outcome in common, they are overlapping events. Mutually exclusive events lesson plans probability. When sampling is done with replacement, then events are considered to be independent, meaning the result of the first pick. Students will learn how to calculate the probability of mutually exclusive events. Mutually exclusive nonmutually exclusive worksheet determine if the events are mutually exclusive or nonmutually exclusive. There are 3 literature books, 4 algebra books, and 2 biology books on a shelf. Jan 03, 20 mutually exclusive nonmutually exclusive worksheet determine if the events are mutually exclusive or nonmutually exclusive. For example, when tossing a coin, the events head and tail are mutually exclusive, when testing a switch operate and fail are mutually exclusive and when testing the tensile strength of a. Two mutually exclusive events two events are mutually exclusive if they cannot occur at the same time. Mutually exclusive probability worksheets online math learning. We could use a formula to find the probability of 3 or 4. Mutually exclusive non mutually exclusive worksheet determine if the events are mutually exclusive or non mutually exclusive.
Find the probability of choosing a penny or a dime from 4 pennies, 3 nickels and 6 dimes. Probability and mutually exclusive events teaching resources. Infinite algebra 2 mutually exclusivedependentindependent. Is being a foreign car and being blue mutually exclusive.
Describe what it means for two events to be mutually exclusive. Mutually exclusive and nonmutually exclusive events. Worksheet by kuta software llc geometry mutually exclusive events id. The or rule is used to relate the probability of one independent event.
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