Independent and Dependent Events Worksheets
The independent and dependent events worksheets will help students memorize and capture real-life situations faster. Want to improve your grasp on probability? The Independent and dependent Events Worksheets are the best resource for students. Students will hone their memorization skills and grasping skills with the help of ve diagrams and fractions .
Benefits of Independent and Dependent Events Worksheets
These handy and fun worksheets will introduce students to basic mathematical logic and teach them the process of independent events as well. With the help of the guide provided in the worksheets, students can solve their doubts and go onto complex topics.
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Download Independent and Dependent Events Worksheet PDFs
Students can download the pdf format of worksheets to practice some fun and exciting questions for free.
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8.5.1: Independent Events (Exercises)
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- Page ID 37916
- Rupinder Sekhon and Roberta Bloom
- De Anza College
SECTION 8.5 PROBLEM SET: INDEPENDENT EVENTS
The distribution of the number of fiction and non-fiction books checked out at a city's main library and at a smaller branch on a given day is as follows.
Use this table to determine the following probabilities:
For a two-child family, let the events \(E\), \(F\), and \(G\) be as follows.
\(E\): The family has at least one boy \(F\): The family has children of both sexes \(G\): The family's first born is a boy
Do the following problems involving independence.
For a three-child family, let the events \(E\), \(F\), and \(G\) be as follows.
Lesson Independent and Dependent Events
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Probability of Compound Events (Independent & Dependent Events) Lesson Plan
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Probability of Compound Events Guided Notes w/ Doodles | Independent & Dependent
Ever wondered how to teach probability of compound events in an engaging way to your 7th-grade students? In this lesson plan, students will learn about finding probabilities of compound events, including independent, dependent, and mutually exclusive events. Through artistic, interactive guided notes, check for understanding activities, a doodle & color by number worksheet, and a maze worksheet, students will gain a comprehensive understanding of probability of compound events. The lesson ends with a real-life example that explores the real-life applications of this math skill.
- Standards : CCSS 7.SP.C.8 , CCSS 7.SP.C.8.a , CCSS 7.SP.C.8.b , CCSS 7.SP.C.8.c
- Topic : Statistics & Probability
- Grade : 7th Grade
- Type : Lesson Plans
Learning Objectives
After this lesson, students will be able to:
Define compound events in probability
Differentiate between independent and dependent events
Determine the probability of independent events
Determine the probability of dependent events
Solve problems involving compound events using sample spaces, lists, and tree diagrams
Identify and explain real-life situations where probability of compound events is used
Prerequisites
Before this lesson, students should be familiar with:
Basic understanding of probability of simple events
Familiarity with tree diagrams (optional, but helpful)
Colored pencils or markers
Probability of Compound Events Guided Notes
Key Vocabulary
Compound events
Simple events
Independent events
Dependent events
Mutually exclusive events
Sample space
Tree diagrams
Introduction
As a hook, ask students why understanding the probability of compound events is important in real life. You can provide examples such as determining the likelihood of winning a raffle with multiple prizes, predicting the chances of getting heads or tails when flipping multiple coins, or calculating the probability of drawing certain cards from a deck during a card game. Refer to the last page of the guided notes for additional ideas.
Use the first two pages of the guided notes to introduce the topic of compound events and provide an overview of the different types of events: independent events, dependent events, and mutually exclusive events. Walk through the concept of sample space and how it helps us determine the total number of possible outcomes in a given situation. Emphasize the importance of organizing the outcomes using lists, tree diagrams, or the fundamental counting principle. Refer to the FAQs below for a walkthrough on this, as well as ideas on how to respond to common student questions.
Based on student responses during the discussion, identify any areas where students may need additional clarification or examples. If necessary, reteach and provide more practice on specific concepts to ensure a solid foundation. If your class has a wide range of proficiency levels, you can pull out students for reteaching while more advanced students begin working on the practice exercises.
Have students practice finding probabilities of compound events using the practice coloring worksheet included in the resource. Walk around the classroom to answer any student questions and provide any necessary support or clarification.
Fast finishers can then move on to the maze activity provided in the resource for extra practice. You can assign it as homework for the remainder of the class.
Real-Life Application
Bring the class back together, and introduce the concept of real-life applications of finding probabilities of compound events. Explain that understanding probability is not only important in math class, but also in real-world situations.
Some examples of real-life applications include:
Weather Forecasting : Explain how meteorologists use probabilities to predict the weather. They collect data on temperature, humidity, wind speed, and other factors, and then use probability to determine the likelihood of rain, snow, or sunshine.
Sports Statistics : Discuss how probabilities are used in sports to make predictions and determine the outcomes of games. For example, sports analysts use probabilities to calculate the likelihood of a team winning or losing, and to make predictions about player performance.
Medical Testing : Talk about how probabilities play a crucial role in medical testing. For instance, doctors and scientists use probabilities to interpret the results of medical tests, such as mammograms, HIV tests, or genetic screening tests.
Encourage students to think of their own examples of real-life situations where probabilities are used. This will help them understand the practical application of the concept and its relevance in their everyday lives.
Refer to the FAQ section for more ideas on how to teach real-life applications of finding probabilities of compound events.
Additional Self-Checking Digital Practice
If you're looking for digital practice for Probability of Compound Events, try my Pixel Art activities in Google Sheets. Every answer is automatically checked, and correct answers unlock parts of a mystery picture. It's incredibly fun, and a powerful tool for differentiation.
Here are 2 activities to explore:
Probability of Compound Events Digital Pixel Art
Probability Digital Pixel Art Bundle
Simulations for Compound Events Pixel Art
Additional Print Practice
A fun, no-prep way to practice Probability of Compound Events is Doodle Math — they're a fresh take on color by number or color by code. It includes multiple levels of practice, perfect for a review day or sub plan.
Here are 2 activities to try:
Probability of Simple and Compound Events Doodle Math Worksheets
Probability Doodle Math Worksheets Bundle
What is the difference between independent and dependent events? Open
Independent events are events where the outcome of one event does not affect the outcome of the other event. Dependent events, on the other hand, are events where the outcome of one event does affect the outcome of the other event.
Independent events:
The occurrence of one event does not affect the occurrence of the other event.
The probability of one event does not change based on the outcome of the other event.
Dependent events:
The occurrence of one event affects the occurrence of the other event.
The probability of one event changes based on the outcome of the other event.
What is a sample space in probability? Open
A sample space in probability refers to the set of all possible outcomes of an experiment or event. It includes every possible outcome that can occur.
How do you calculate the probability of compound events? Open
To calculate the probability of compound events, you need to consider whether the events are independent or dependent.
For independent events:
Multiply the probabilities of the individual events.
For dependent events:
Determine the probability of the first event.
Use that outcome as a reduced sample space for the second event.
What is the fundamental counting principle? Open
The fundamental counting principle is a method used to determine the total number of outcomes in a sequence of events. It states that if there are "m" ways of doing one thing and "n" ways of doing another thing, then there are "m x n" ways of doing both things together.
How can I use a tree diagram to find the probability of compound events? Open
A tree diagram is a graphical representation that helps visualize the different outcomes and probabilities of compound events. To use a tree diagram:
Begin with the first event and draw branches for each possible outcome.
Repeat this process for the second event, branching off from each outcome of the first event.
Assign probabilities to each branch and multiply the probabilities along the branches to find the probability of specific outcomes.
What are mutually exclusive events? Open
Mutually exclusive events are events that cannot occur at the same time. If one event happens, the other event cannot happen simultaneously.
How can I determine if two events are mutually exclusive? Open
To determine if two events are mutually exclusive, you need to check if they share any common outcomes. If there are no common outcomes between the two events, then they are mutually exclusive.
Can you give an example of a real-life application of compound events in probability? Open
Sure! One example of a real-life application of compound events is weather forecasting. In weather forecasting, meteorologists use information from different weather models to predict the probability of both rain and wind occurring on a specific day. By considering the probabilities of independent or dependent events (such as the chance of rain and wind occurring together), meteorologists can provide more accurate forecasts to the public.
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- Grade 7 McGraw Hill Glencoe - Answer Keys
Explanation:
P(heads and odd)
Cards labeled 5, 6, 7, 8, and 9 are in a stack. A card is drawn and not replaced. Then, a second card is drawn at random. Find the probability of drawing two even numbers.
Building on the Essential Question Explain the difference between independent events and dependent events.
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Dependent and independent events. There are 150 students in an eleventh grade high school class. There are 45 students in the soccer team and 35 students in the basketball team. Out of these students, there are 20 who play on both teams. Let A be the event that a randomly selected student in the class plays soccer and B be the event that the ...
11) P(A) =. . 6) You roll a fair six-sided die twice. The first roll shows a five and the second roll shows a six. 8) A basket contains five apples and seven peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. The first piece of fruit is an apple and the second piece is a peach.
you got your answer. 13+13+13+13=52. Probability of drawing a spade=13/52. Simplify 13/52=1/4. 1/4 x 1/4 = 1/16. Using the letters in the word FABRIC, find the number of permutations that can be formed using 2 letters at a time. Show your work or explain how you got your. answer. 6 letters in the word FABRIC.
The events are independent. P (red then blue) = P (red) • P (blue) = 3/12 • 5/12 = 15/144 = 5/48. When you toss a coin, the probability of getting a head is 1 out of 2 or ½. If you toss the coin again, the probability of getting a head is still 1 out of 2 or ½. If you toss a coin 10 times and get a head each time, you may think that your ...
dependent. The 232 members of the freshman class all vote by secret ballot for the class representative to the Student Senate. independent. Study with Quizlet and memorize flashcards containing terms like selecting members for a team, tossing a penny, rolling a die, then tossing a dime, deciding the order in which to complete your homework ...
Independent and Dependent Probability Homework . Independent Events (1. st event does not affect 2nd event.) Use the cards below to answer the questions: 1) What's the probability of picking a star, putting it back, and picking another star? 2) What's the probability of picking a triangle, putting it back, and picking another triangle?
Download Independent and Dependent Events Worksheet PDFs. Students can download the pdf format of worksheets to practice some fun and exciting questions for free. Independent and Dependent Events Worksheet - 1. Download PDF. Independent and Dependent Events Worksheet - 2. Download PDF. Independent and Dependent Events Worksheet - 3. Download PDF.
Independent and Dependent Events. Watch this lecture series to see more various examples of calculating probabilities of independent and dependent events. When the outcome of one event depends on the outcome of another, the events are considered dependent. Complete the interactive exercises.
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more. 0.
Lesson 7 Homework Practice Independent and Dependent Events The two spinners at the right are spun. Find each probability. 1. P(4 and C) 2. P(1 and A) 3. P(even and C) 4. P(odd and A) 5. P(greater than 3 and B) 6. P(less than 5 and B) GAMES There are 10 yellow, 6 green, 9 orange, and 5 red cards in a stack of cards turned facedown.
Homework and Practice 10-5 Probability of Independent and Dependent Events Decide if each set of events is independent or dependent. Explain your answer. 1. Cora tosses a number cube. Then she spins a spinner. 2. Kevin chooses a book for a book report from a list of titles. Hiroshi chooses a book for a book report from the remaining titles. 3.
So the result of a coin flip and the day being Tuesday are independent events; knowing it was a Tuesday didn't change the probability of getting "heads." ... In practice, we often assume that events are independent and test that assumption on sample data. If the probabilities are significantly different, then we conclude the events are not ...
There is an 80% chance that she will make the first connection, and a 90% chance that she will make the second connection. If the two events are independent, find the probabilities: P P ( Jane will make both connections) P P (Jane will make at least one connection) For a three-child family, let the events E E, F F, and G G be as follows.
1,2,3,4,5,6 = 1,3,5 = 3 out of 6, or 3/6, which can be reduced to 1/2. Dependent Event: One event affects outcome of second event. Example: Pick a flower from a garden. Then pick another flower from the same garden. Picking the first flower affects the possible outcomes of picking the second flower. Independent Event: When an outcome of one ...
Experiment 1 involved two compound, dependent events. The probability of choosing a jack on the second pick given that a queen was chosen on the first pick is called a conditional probability. The conditional probability of an event B in relationship to an event A is the probability that event B occurs given that event A has already occurred.The notation for conditional probability is P(B|A ...
It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more. Improve your math knowledge with free questions in "Identify independent and dependent events" and thousands of other math skills.
Learning Objectives. After this lesson, students will be able to: Define compound events in probability. Differentiate between independent and dependent events. Determine the probability of independent events. Determine the probability of dependent events. Solve problems involving compound events using sample spaces, lists, and tree diagrams.
Homework (due Mon, Feb 11th): Chapter 7: #44, 64 (counts double) Review: Independent and Dependent Events • Two events are independent of each other if knowing that one will occur (or has occurred) does not change the probability that the other occurs. • Two events are dependent if knowing that one will occur (or has occurred) changes
Independent and Dependent Events . The two spinners at the right are spun. Find each probability. 1. P(4 and C) 2. P(1 and A) 3. P(even and C) 4. P(odd and A) 5. P(greater than 3 and B) 6. P(less than 5 and B) GAMES There are 10 yellow, 6 green, 9 orange, and 5 red cards in a stack of cards turned facedown. Once a card is
3. The Game of Rock-Paper-Scissors. This game is a classic probability activity that can be used to teach students about independent and dependent events. The students pair up and play several rounds of rock-paper-scissors. The teacher then asks the students to determine whether the outcome of each round is independent or dependent.
Email your homework to your parent or tutor for free; ... Guided Practice. A penny is tossed and a number cube is rolled. Find each probability. ... Building on the Essential Question Explain the difference between independent events and dependent events. Type below: (show solution) Yes, email page to my online tutor. ...
This seventh-grade activity can be used for students to practice compound probabilities of events as well as determine if the compound event is independent or dependent. Students can work individually or with a partner as a way to discuss and prepare for this lesson topic.If you enjoyed this resource, check out this Compound Probability Activity!
Created by. Dan Atkeson. Included in this Product: 100% Self-Grading Assessments using Google Forms - Probability of Independent and Dependent Events - 22 Questions each (15 multiple choice and 7 free response). 44 total items asking students to calculate Independent and Dependent Compound Probabilities.