This document appears to be notes from a mathematics lesson on probability. It includes examples of independent and dependent events, formulas for calculating theoretical probability of independent and dependent events, and word problems applying these concepts. The lesson concludes with a closing question about whether the Powerball lottery is an independent or dependent event and how its probability would be calculated.
Ideas for teaching chance, data and interpretation of dataJoanne Villis
These activities have been designed specifically for Year 3 students according to the Australian Curriculum guidelines. However, they can be adapted to meet other standards or year levels.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Francesca Gottschalk - How can education support child empowerment.pptxEduSkills OECD
Francesca Gottschalk from the OECD’s Centre for Educational Research and Innovation presents at the Ask an Expert Webinar: How can education support child empowerment?
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
8. Module 5 Lesson 7.notebook
8
April 05, 2016
Independent Events: One event does NOT effect the probability
of the other.
Dependent Events: One event does effect the probability
of the other.
State whether each set of events is independent or
dependent. Explain each answer.
1.) Erica flips a coin and then she rolls a die.
2.) John chooses a classmate for his group and then chooses
another classmate for his group.
3.) Jane rolls a six sided die and then rolls another six sided
die.
11. Module 5 Lesson 7.notebook
11
April 05, 2016
1.) A reading list contains 5 historical books and 3 science-fiction
books. What is the probability that Alex will randomly choose a
historical book for his first report and a science-fiction book for
his second without replacement?
historical
historical
historical
historical
historical
science-fiction
science-fiction
science-fiction
13. Module 5 Lesson 7.notebook
13
April 05, 2016
3.) Jill has seven quarters in her pocket. Of these, three are
“Delaware” quarters, two are “Georgia” quarters, one is a
“Connecticut” quarter, and one is a “Pennsylvania” quarter. Jill
removes one quarter at random and then removes a second quarter
at random without replacing the first quarter. What is the
probability that both will be “Delaware” quarters?
Connecticut
Georgia
Pennsylvania
Delaware
Delaware
Georgia
Delaware
14. Module 5 Lesson 7.notebook
14
April 05, 2016
4.) On a multiple choice test, each question had four possible
answers. A student does not know the answers to two questions,
so he guesses. What is the probability that the student will get
both answers wrong?
1.) The sky is:
a.) Blue b.) Black c.) Red d.) Orange
2.) 2 + 2 =
a.) 2 b.) 3 c.) 4 d.) 5
15. Module 5 Lesson 7.notebook
15
April 05, 2016
5.) In a bag there are 5 blue, 2 red, and 3 green marbles. What is the
probability of choosing a blue marble at random and then choosing a
green marble if you replace the first marble?
