
Union and Intersection of Events
Quiz by Hines Hubahib
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Which symbol is commonly used to represent the intersection of two events?
∅
∩
∪
⊂
Which symbol represents the union of two events?
∪
∅
∩
⊆
Which symbol is commonly used to represent the intersection of two events?
Which symbol represents the union of two events?
If two events have no elements in common, what is their intersection?
What does the union of two mutually exclusive events result in?
What does the union of two events A and B (written as A ∪ B ) represent?
Which of the following represents the intersection of two events A and B (written as A ∩ B)?
You are given two events: A = {1, 2, 3} and B = {3, 4, 5}. Which of the following is true about A ∩ B?
A student is asked to list all outcomes that belong to event A, event B, or both. What is the student being asked to find?
Why is the intersection of A and B sometimes smaller than either A or B?
If event A is a subset of event B, what can you say about A ∩ B?
If A ∪ B = {1, 2, 3, 4, 5, 6} and A = {1, 2, 3}, what must be true about B?
If A represents students who joined the Math Club and B represents students who joined the Science Club, what does A ∪ B represent?
If A ∩ B represents the intersection of events A and B, which situation shows this concept?
In a school, 45 students take biology, 30 take chemistry, and 20 take both. How many take biology only?
In a class of 40 students: 25 joined the Math Club,18 joined the Science Club,10 joined both clubs. How many students joined either the Math or Science Club?
QUARTER 3 - WEEK 6 - Union and Intersection of Events
ILLUSTRATES THE UNION AND INTERSECTION OF EVENTS
QUATER 3 - WEEK 6 - Union and Intersection of Events
Probability of Union and Intersection of Events
Key Word Definition
Aid Assistance in the form of grants or loans at below market rates. For example, the UK provided aid to Nepal after the 2015 earthquake to help with reconstruction efforts.
Barriers to Trade Government constraints on the flow of international goods and services, such as tariffs and quotas. For example, the European Union imposes tariffs on certain agricultural products to protect its farmers.
BRICS An acronym for an association of five major emerging nations: Brazil, Russia, India, China, and South Africa. For example, BRICS nations often meet to discuss economic cooperation and development strategies.
Demographic Aging The rise in the median age of a population. For example, Japan is experiencing demographic aging, with a significant increase in the elderly population.
Economic Core Region The most highly developed region(s) in a country. For example, London is considered an economic core region in the UK due to its high level of development and economic activity.
GNP (Gross National Product) GDP plus overseas earnings, also known as GNI (Gross National Income). For example, the GNP of the United States includes the value of goods and services produced domestically and the income earned by its citizens abroad.
HIC (Higher Income Country) A country with a high level of income and development. For example, Germany is classified as a higher income country due to its high GDP per capita and advanced infrastructure.
NEE (Newly Emerging Economy) A country that is experiencing rapid economic growth and industrialisation. For example, China is an example of a newly emerging economy, having rapidly industrialised and grown economically over the past few decades.
LIC (Lower Income Country) A country with a low level of income and development. For example, Malawi is considered a lower income country, with a low GDP per capita and limited access to healthcare and education.
GDHI (Gross Disposable Household Income) The amount of money that households have available for spending and saving after taxes and social contributions. For example, in the UK, the GDHI varies significantly between regions, with London having one of the highest levels.
Gini Coefficient A measure of income inequality within a population, ranging from 0 (perfect equality) to 100 (perfect inequality). For example, South Africa has a high Gini coefficient, indicating significant income inequality within the country.
Trade Unions Organisations that promote trade between member countries, such as the East African Community (EAC). For example, the East African Community (EAC) works to promote economic integration and trade among its member states.
Fair Trade A movement aimed at helping producers in developing countries achieve better trading conditions and promote sustainability. For example, Fairtrade coffee ensures that farmers receive a fair price for their product and work under safe conditions.
FDI (Foreign Direct Investment) Investment made by a company or individual in one country in business interests in another country. For example, Toyota's investment in manufacturing plants in the UK is an example of foreign direct investment.
Debt Relief The partial or total remission of debts, especially those owed by developing countries to external creditors. For example, the Heavily Indebted Poor Countries (HIPC) initiative provides debt relief to eligible countries to help them achieve sustainable development.
International Aid Voluntary transfer of resources from one country to another, often in the form of financial assistance, goods, or services. For example, the UK provides international aid to various countries through its Department for International Development (DFID).
Top-Down Development Large-scale development projects led by national governments or international organisations. For example, the construction of the Three Gorges Dam in China is an example of a top-down development project.
Bottom-Up Development Small-scale development projects led by local communities or NGOs, focusing on the needs of the poorest and most vulnerable. For example, WaterAid's installation of hand pumps in rural villages in Africa is an example of a bottom-up development project.
Urbanisation The increase in the proportion of people living in urban areas compared to rural areas. For example, rapid urbanisation in India has led to the growth of megacities like Mumbai and Delhi.
Geopolitics The study of the effects of geography (human and physical) on international politics and relations. For example, the geopolitics of the Arctic region involves disputes over territorial claims and access to natural resources.
Quality of Life The general well-being of individuals and societies, outlining negative and positive features of life. For example, Scandinavian countries are often ranked high in quality of life due to their strong social welfare systems and high levels of happiness.
Poverty Cycle A set of factors or events by which poverty, once started, is likely to continue unless there is outside intervention. For example, lack of education and healthcare can trap families in a poverty cycle, making it difficult for future generations to improve their living standards.
Sustainable Development Economic development that is conducted without depletion of natural resources. For example, the use of renewable energy sources like wind and solar power is a key aspect of sustainable development.
Humanitarian Aid Material or logistical assistance provided for humanitarian purposes, typically in response to crises including natural disasters and man-made disaster. For example, humanitarian aid was provided to Haiti after the devastating earthquake in 2010 to help with immediate relief efforts.
Economic Growth An increase in the production of goods and services in an economy over a period of time. For example, China's economic growth over the past few decades has lifted millions of people out of poverty.
Social Indicators Measures that describe the well-being of individuals or communities, such as health, education, and income. For example, life expectancy and literacy rates are common social indicators used to assess development.
Environmental Sustainability Responsible interaction with the environment to avoid depletion or degradation of natural resources and allow for long-term environmental quality. For example, practices like recycling and conservation of natural habitats contribute to environmental sustainability.
Infrastructure The basic physical and organisational structures and facilities needed for the operation of a society or enterprise. For example, good infrastructure, such as roads, bridges, and schools, is essential for economic development.
Globalisation The process by which businesses or other organisations develop international influence or start operating on an international scale. For example, the globalisation of technology companies like Apple and Google has led to their products being available worldwide.
Microfinance Financial services provided to low-income individuals or groups who are typically excluded from traditional banking. For example, microfinance institutions like Grameen Bank provide small loans to entrepreneurs in developing countries to help them start or expand their businesses.
1.1945-1949: The immediate years after the Second World War ● At the end of 1945, Mao Zedong had come to see the USA as the greatest threat to his aspirations. a. He understood that East Asians were looking to the USA as the true liberator from Japanese imperialism. b. The USA’s support for the Kuomintang(KMT) and the restoration of U.S. authority in formerly Japanese Manchuria clashed with the CCP’s plans to use the region for its own needs in the impending civil war between the CCP and the GMD. ■ To compound matters, while the KMT was recognised internationally as the official government in China, Mao and the CCP saw the party as a puppet of U.S. imperialism. ● While Mao saw the USA as the greater threat to the CCP’s plans, Soviet actions also frustrated him. a. The USSR provided minimal and incoherent support for the Chinese Communists in Yan’an and Manchuria. b. Stalin also attempted to extract territorial and economic concessions from the Guomindang government in the Friendship and Alliance Treaty China signed in August 1945 under American and Soviet pressure in exchange for Soviet entry into the Second World War against Japan. ● The emerging superpower conflict over Europe and over American intervention in the impending civil war in China led to Mao’s ideological perception of the 8838/01 H1 History Paper 1 Theme II: The Cold War and East Asia (1945-1991) \ Page | 8 USA as an aggressive imperialist power that was hostile towards other countries, especially the USSR and China. ● In 1946, Mao promoted the theory of the intermediate zone, which envisioned a global united front against American imperialism. a. Mao saw the emerging superpower conflict as an American-Soviet contest for the intermediate zones, the capitalist, colonial and semi- colonial countries of West Europe, Africa, and Asia. b. Mao believed that the USSR was the defender of world peace. c. The intermediate zone, which included China, would not be part of the socialist camp. d. Despite the tremendous potential that U.S. aid held for China’s reconstruction, Mao’s ideological worldview and the impending civil war against the Guomindang prevented him from seeking normalised relations with the USA. In 1949, Mao decided to lean towards the side of the USSR despite two decades of unreliable support from them. e. Mao saw the anti-bourgeois campaigns in East Europe as evidence that China should isolate capitalist-bourgeois forces within it.2 f. Stalin had expelled Yugoslavia from the socialist camp as its leader, Tito was seen to have directly challenged Stalin’s authority. ■ Mao thus saw it as imperative to stress close unity to the USSR lest he was seen as a second Josip Broz Tito. At the same time, Mao sought a loose partnership with the USSR because Mao believed that China should preserve a high measure of self- reliance and zili gengsheng (自力更生) (regeneration through one’s own efforts). ● When the People’s Republic of China was formed on 1 October, 1949, relations between China’s and the USSR’s communists had improved substantially. a. However, the Chinese Communist Party (CCP) was also aware that the USSR never treated Chinese interests as a priority. What the CCP failed to fully understand was that Stalin ruled East Europe much like it was his empire and how this would have implications for China. b. In Mao’s first visit to the USSR in December 1949, Stalin was non- committal regarding the interests raised by the Chinese, and treated Mao as an underling as he feared that closer relations with the PRC would cause the USSR to lose privileges gained from the KMT. _________________________ 2 What Mao did not realise at that point was that the anti-bourgeois campaigns in East European countries were part of Stalin’s intentional design to consolidate the power of communists in them. 8838/01 H1 History Paper 1 Theme II: The Cold War and East Asia (1945-1991) \ Page | 9 A note on Sino-American relations 2. Early 1950: The USA’s hands-off policy towards Taiwan begins to change ● By early 1950, the Truman administration had written off Taiwan and believed it was only a matter of time before the island fell to the PLA. ● Two events in early 1950 changed the USA’s position on East Asia. ○ The formation of the USSR-PRC alliance in February 1950 ○ The North Korean invasion of South Korea in June 1950 3. 1950: The Sino-Soviet Friendship, Alliance and Mutual Assistance Treaty ● Signed on 14 February, 1950. 3.1Implications for Sino-Soviet relations ● Stalin saw it as a means to get concessions that he had failed to get from the Kuomintang (KMT) government in 1945. ● For Mao and the newly founded People’s Republic of China (PRC), the alliance would provide security against U.S. imperialism and allow the PRC to get economic aid for reconstruction from the USSR. ● The Chinese realised soon after the 1950 treaty had been signed that the Soviet Union was intent on exploiting the agreement in its own favour. 8838/01 H1 History Paper 1 Theme II: The Cold War and East Asia (1945-1991) \ Page | 10 ● The Sino-Soviet alliance was officially directed against Japanese militarism and its allies, especially the USA. ● The Sino-Soviet alliance comprised three elements: party, military and economic relations. ○ Party: The Chinese Communist Party (CCP) was included in the customs of communist party internationalism, such as regular exchange of party delegations to congresses of the fraternal parties in Stalin’s socialist camp. ■ This move was meant to bring the PRC’s ideological beliefs about communism into greater alignment with the USSR’s. ○ Military: The alliance was supposed to provide the newly formed and weak PRC with a strategic deterrent and military aid against the USA on three fronts: Guomindang-held Taiwan, divided Korea, and Vietnam where France attempted to reestablish its colonial control. ■ Convinced that the USA would aggressively seek ways to undermine the CCP-led PRC through Taiwan, Korea and Vietnam, Mao sought an active defence. ● While in Moscow, Mao unsuccessfully asked Stalin to provide military assistance for the liberation of Taiwan. ● At the beginning of 1950, the PRC delivered large-scale military aid to Hanoi. The PRC was the first country to grant the communist-led Democratic Republic of Vietnam diplomatic recognition on 18 January 1950; Mao persuaded Stalin to do so on 30 January 1950. ● The PRC committed itself to North Korea, where Mao saw the commitment to North Korea both as a defence against U.S. imperialism and as support for a fellow communist country. ○ Economic: During Mao’s first stay in Moscow, Stalin had personally promised the delivery of fifty projects for primary industrialisation. ■ The agreement also led to a series of supplementary ones, such as a US$ 300 million loan that the PRC would repay with a mixture of strategic materials, rubber, agricultural products, goods for daily use and hard currency. ■ Significantly, Stalin used Soviet military and economic aid to extract concessions similar to those he failed to get from the Guomindang government in 1945. ■ The USSR and PRC would disagree on the pace and extent of the PRC’s planned development. ● In the last five weeks of Stalin’s life in early 1953, he attempted to pressure the PRC to reduce the planned 8838/01 H1 History Paper 1 Theme II: The Cold War and East Asia (1945-1991) \ Page | 11 development speed to a mere annual growth of 13-14 percent, and to plan individual projects in detail beforehand. These moves would potentially result in the PRC’s economy growing at a slower rate than initially projected. ● However, after Stalin’s death on 5 March 1953, the PRC’s Zhou Enlai decided to use his visit of condolence to the USSR to press forward negotiations. ○ When talks resumed in 1 April 1953, Beijing pressed for 150 Soviet industrial projects, but Moscow reduced them to 91 on the basis of insufficient data provided by the Chinese. ■ The economic disarray after China’s civil war and the economic pressures that came with the Korean War influenced recovery and reconstruction in the early years of the PRC. ● Despite the PRC being unable to tap into Soviet economic assistance immediately, mutual trade between China and the USSR nevertheless increased 6.5 times from 1950 to 1956. ● Together with the 50 projects promised by Stalin in 1950, the final version of the First FYP for the PRC included 141 Soviet and 68 East European projects in a total of 649 planned. Three thousand Soviet advisers sent to China in subsequent years were directly linked to the First FYP. ● By 1955, over 60 percent of China’s goods exchange was with the USSR. ● Soviet economic assistance to China added up to the largest foreign development venture in the socialist camp ever. ○ The total number of planned projects amounted to between 300 and 360 projects. ○ However, the number of total finished projects ranged between 134 and 150. ● Transfers of knowledge and expertise were important to China’s economic development. ○ A study on Soviet experts counts 1,445 political advisers and 9,313 technical specialists sent to China until their sudden withdrawal in mid-1960. ■ For political reasons, the gradual withdrawal of advisers began after late 1956.
Here are 12 questions based on the Word Wall Spin the Wheel Activity focusing on Robber Barons and Labor Unions: Multiple Choice: What is a "Trust"? A) A labor organization formed by skilled workers. B) A large business combination that aims to control markets and reduce competition. C) A worker strike that demands higher wages. D) A type of factory producing steel. Answer: B Which labor union sought to include all workers, regardless of skill, gender, or race? A) American Federation of Labor (AFL) B) Industrial Workers of the World (IWW) C) Knights of Labor D) Pullman Company Answer: C Who was the founder of Standard Oil, known for his monopolistic practices? A) Andrew Carnegie B) Eugene V. Debs C) John D. Rockefeller D) Samuel Gompers Answer: C Which event involved a nationwide railroad strike that led to federal intervention and the arrest of Eugene V. Debs? A) Haymarket Square Riot B) Pullman Strike C) Homestead Strike D) Coal Strike of 1902 Answer: B What is "Vertical Integration"? A) A system where one company controls all phases of production from raw materials to finished product. B) A labor union negotiation process for better working conditions. C) The consolidation of competing businesses under a single company. D) A strike where workers occupy a factory to prevent its operation. Answer: A Which of the following was a key goal of the American Federation of Labor (AFL)? A) Overthrow the capitalist system. B) Establish worker-run factories. C) Secure higher wages, shorter hours, and better working conditions. D) Eliminate all forms of skilled labor. Answer: C Fill in the Blank: John D. Rockefeller used ___________ to gain control over the oil industry and eliminate his competition. Answer: Trusts The labor organization founded by Samuel Gompers that focused on craft unionism and collective bargaining was the ___________. Answer: American Federation of Labor (AFL) The ___________ advocated for direct action and sought to organize all workers into one large union, regardless of skill or background. Answer: Industrial Workers of the World (IWW) The ___________ was an 1894 labor strike against the Pullman Company that resulted in federal troops being sent to restore order. Answer: Pullman Strike Andrew Carnegie’s belief that the wealthy had a moral obligation to use their wealth for the betterment of society was known as the ___________. Answer: Gospel of Wealth The ___________ began as a peaceful rally for an eight-hour workday but turned violent after a bomb was thrown, leading to a nationwide backlash against labor unions. Answer: Haymarket Square Riot These questions combine multiple choice and fill-in-the-blank formats, reinforcing key concepts related to labor unions and robber barons.
LESSON 3 Characteristics of Living Things Learning Objectives • Describe each characteristic of life • Relate each characteristic of life with how first forms of life evolved What sets living things apart from nonliving things? Organisms are equipped with different characteristics that allow them to grow, adapt, survive, and perpetuate. These include the ability to metabolize, respond to stimuli, interact, and reproduce, among others What are the characteristics of life? Try to look at your surroundings and identify the living things that you see. You have probably identified a lot. Many scientists believe that there are more than 10 million kinds of living things that exist on Earth today. But the question is, how can something be considered living? There are certain characteristics that all living things exhibit: the characteristics of life. Living things are made up of cells. They metabolize, grow and develop, respond to stimulus, adapt to their environment, and reproduce. Living Things Are Made up of Cells All living things are made up of cells. Cells are the basic building blocks of all living things. Each cell contains materials that carry out basic life processes such as respiration. In the 1600s, an argument against the theory of spontaneous generation was made. Italian physician and biologist Francesco Redi disproved the theory that all living things come from nonliving things. Cells have different properties and characteristics. The cell theory describes the properties of all cells. There are three tenets of the cell theory: 1. The cell is the basic unit of life. 2. All living things are composed of one or more cells. 3. All cells arise from preexisting cells. The discovery of the cell is largely attributed to Robert Hooke. Upon examining a piece of cork using a microscope that he built, Hooke observed tiny compartments that he called "cells" (from the Latin word cella, meaning "little room"). Matthias Schleiden suggested that all structural parts of plants are made up of cells. In 1839, Theodore Schwann stated that along with plants, all animals were composed of cells. From these conclusions about plants and animals, advancement on the study of animal parts and functions began. In 1855, Rudolf Virchow included the idea that all cells came from preexisting cells. Some living things are made up of only single cells. Single-celled or unicellular organisms include bacteria, some protists, and some fungi. Even though composed of single cells, these organisms carry out all the functions necessary for life. Most living things such as animals and plants, are multicellular organisms. They are composed of many cells, which are grouped together and perform specific tasks in the body. In different organisms, cells also vary in sizes, shapes, parts, and functions. There are two kinds of organisms according to their cell structure, the prokaryotes and eukaryotes (figure 5-3). Prokaryotes are single-celled organisms that lack a membrane-bound nucleus, mitochondria, and all other organelles. Its name comes from the Greek words pro, which means "before," and karyon, which means "nut or kernel." Eukaryotes are organisms with cells that contain membrane-bound nucleus and other membrane-bound organelles. The nucleus of a eukaryotic cell contains the genetic material (DNA), enclosed by a nuclear envelope. Other membrane-bound organelles are mitochondria, Golgi apparatus, and chloroplast found in photosynthetic organisms such as algae and plants. There are also unicellular eukaryotes known as protozoa. All other eukaryotes are multicellular organisms, such as plants, animals, and fungi. Living Things Metabolize Essential chemical reactions in life can be best described as building up (anabolism) and breaking down (catabolism) processes. In anabolism, the substances needed by organisms to grow, store energy, and repair tissues are synthesized. In contrast in catabolism, some complex substances are broken down, releasing the energy stored in their molecules. This happens in food digestion. This chemical building up and breaking down processes are collectively called metabolism. Metabolism, from the Greek word metabole meaning "change," is the sum total of all the life-sustaining chemical reactions in living things. It allows living things to grow, maintain their structures and functions, and respond to stimuli. Living Things Grow and Develop Growth and development are not new concepts to many. In all living things, growth involves the increase in one's size or height. However, growth is not just an increase in physical structure. It also involves complex changes in an organism. Growth and development occur rapidly from younger stages of life to maturity. In humans, animals, and plants, distinct changes brought by growth and development can be dearly identified. Microorganisms such as bacteria also undergo growth and development until they reach their maximum size and maturity. A life span is the average length of time a aving thing can live. Living things have different life spans. Humans have average life spectancy of 60 to 70 years, while some plants, such as the narra trees, can live for more than 100. Living Things Respond to Stimuli All living things respond to stimuli the environment. This responsiveness Increases survivability. Stimulus (plural: uli) is any signal or change in he environment of an organism that produces a response or reaction from that organism. Responses to stimuli depend on an organism's need. Responding to stimuli also maintains homeostasis in living things. Homeostasis is the internal balance of a body system. This balance is needed for the proper function and regulation of the living thing's body. For example, when a person is in a warmer environment, the body sweats, keeping the body maintain a temperature suited for the normal function of the body. Living Things Interact No living thing can live alone. Interaction among organisms is simultaneously happening on Earth. From the smallest microorganisms to the biggest organism, and from the North Pole to the South Pole of Earth, all are connected in one living system. An ecosystem is formed when a community of organisms interacts with another community and with their environment. Many processes and interactions, such as in a feeding relationship, life cycle, and the exchange of gases between plants and animals, occur in the ecosystem. These are some of the important processes needed to maintain life on Earth. Living Things Reproduce The ability of living things to produce offspring of their kind is called reproduction. Reproduction is not an individual organism's need, rather, it is for the species' perpetuation. In some cases, animals become extinct because of their inability to reproduce their kind. Higher forms of plants and animals reproduce through sexual reproduction. Sexual reproduction involves the union of sex cells or gametes-the egg cell from a female organism and the sperm cell from a male organism. This union gives rise to a new individual with characteristics or traits from both parents. Other simple organisms, such as bacteria and plants, can reproduce asexually. These organisms give rise to a new individual from their body. A bacterial cell divided in two through asexual reproduction gives rise to new bacteria, as shown in figure 5-5. A yeast can form buds that later on become separate individual. Plants grow new plants using their stem, leaf, and roots. Both sexual and asexual reproductions have important functions. In both cases, the genetic material (DNA) is passed on from one generation to the next, ensuring the survival of the species on Earth. 1. Bacteria copy their DNA by starting at any point on the circular chromosomes. 2. The two copies of DNA attach to the inside wall of the bacterial cell. 3. The cell starts to divide, forming a new membrane and cell wall. 4. The bacterial cell splits into two separate cells, each with their own DNA. Living Things Adapt and Evolve All living things can adapt to their environment. This adaptation is necessary for rvival. Adaptation depends on the need of an individual. A polar bear, for example, would not be able to survive in an extremely cold environment without its capacity adapt. Adaptation is any response or reaction toward a stimulus that helps in the survival of an organism. A seed-eating bird will eventually eat a worm when there are seeds to be found. This change in food choice is therefore its adapting mechanism. Prolonged adaptation to certain environments may lead to the gradual evolution of the succeeding generations. Evolution is the gradual change in organisms over a long period in response to changing environment. Living Things Are Organized Life on Earth exhibits organization. The atom is the smallest unit of matter, lowed by molecules, which are combinations of atoms. When these molecules are grouped together, they form a cell. The cell is the basic unit of life. In multicellular organisms, such as plants and animals, cells are grouped as tissues to perform specific Functions. Different tissues can be grouped further and form organs. Organs in animals include the heart, brain, and lungs, among others. The organs form organ systems that makes the function of the body more complex and efficient. Organ systems form the whole organism. All living things exhibit organization, whether they are unicellular or multicellular organisms..