lOMoARcPSD|36754751 15 DLP Probability of Simple Event Bachelor of Secondary Education (Don Mariano Marcos Memorial State University) Scan to open on Studocu Studocu is not sponsored or endorsed by any college or university Downloaded by Floresa Tahum (floresatahum31@gmail.com) lOMoARcPSD|36754751 A DETAILED LESSON PLAN FOR GRADE 8 MATHEMATICS 8 – Stargazer (12:30-1:30) 8 – Lotus (1:30-2:30) I. OBJECTIVES At the end of the lesson, the students will be able to: a. define probability of a simple event b. solve for the probability of the simple events c. relate probability of simple events in real-life situations II. SUBJECT MATTER A. Topic: Probability of Simple Event B. References: Grade 8 Mathematics Learner’s Module C. Materials: chalk and blackboard, PowerPoint presentation D. Value: active participation III. PROCEDURE Teacher’s Activity A. Preliminary/Routinary Activity Good morning Class! How are you today class? Okay, let us all stand for the prayer to be led by Angeline. Who’s absent today class? Very good. B. Motivation/Review Identify whether the events are impossible/sure/may or may not happen 1. The sun setting in the East 2. Increase in the side of a square results in the increase in its area 3. Tomorrow will be a bright sunny day 4. Father is younger than his son 5. A leap year consists of 366 days. 6. On tossing a coin, I will get Head. 7. On throwing a die, I will get the number 6. 8. A mother having two children 9. A man with wings 10. We will all go home in the afternoon C. Lesson Proper Since we have already discussed how to find the total number of possible outcomes of an experiment, we will now be having the probability of simple event. Learner’s Activity Who could its definition on the board? Probability of an event is a number from 0 to 1 which tells how likely event is to happen. Thank you. Let us take a look at the probability line. Good morning Ma’am! We’re good, Ma’am. (the class will pray) None, Ma’am. 1. IMPOSSIBLE 2. SURE 3. MAY OR MAY NOT HAPPEN 4. IMPOSSIBLE 5. SURE 6. MAY OR MAY NOT HAPPEN 7. MAY OR MAY NOT HAPPEN 8. MAY OR MAY NOT HAPPEN 9. IMPOSSIBLE 10. SURE Downloaded by Floresa Tahum (floresatahum31@gmail.com) lOMoARcPSD|36754751 We have five events and the probability of an event only lies from 0 to 1. The probability of an event is denoted by P (event). We also have the probability rules. Let us discuss it one by one. Rule # 1. The probability of any event is a number (either a fraction, a decimal, or a percent) from 0 to 1. Who can read the example? Example: The weather forecast shows a 70% rain. (The students give an example) Who can give another example? Very good. Rule #2. If an event will never happen, then its probability is 0. Who can read its example? Example: When a single die is rolled, find the probability of getting an 8. . (The students give another example.) Who can give another example? Very good. Rule # 3. If an event is sure to happen, then the probability is 1. Who can read the example? Example: When a single die is rolled, what is the probability of getting a number less than 7? . (The students give another example) Who can give another example? Very good. Rule # 4. The sum of the probabilities of Example: In rolling a fair die, each all the outcomes in the sample space is 1. outcome in the sample space has a probability of . Who can read the example? Probability of an event is obtained as the ratio of number of favourable events to total number of events. Who can give another example? Downloaded by Floresa Tahum (floresatahum31@gmail.com) lOMoARcPSD|36754751 Now that we have discussed the probability rules, let us now solve for the probability of simple events. We have a formula in solving for the probability of a simple event. Who can read its definition on the board? We have the formula Ma’am 1, 2, 3, 4, 5, 6 Let us have some examples. Example #1 What is the probability of getting an even number in rolling a die? Ma’am, three. 2, 4, 6 What are the possible outcomes in rolling a die? = How many favourable outcomes are there in rolling an even number? Substituting it with the equation, what is the probability of getting an even number in rolling a die? Very good. Example #2 Two coins are tossed simultaneously; find the probability of getting first head and then tail. HH, HT, TH, TT Ma’am, there are four possible outcomes Ma’am, one. = How many possible outcomes are there in flipping two coins? How many favorable outcomes are there in getting first a head and then tail? Ma’am, there are 52 possible outcomes. What then is its probability? Very good. Example #3 What is the probability of getting a heart from a standard deck of cards? Ma’am, there are 13 favorable outcomes. = How many possible outcomes are there? How many favorable outcomes are there in getting a heart in a standard deck of cards? Ma’am, there are 20 possible outcomes. What then is its probability? Example # 4 There are 20 marbles in a container: 5 are red, 4 are blue, and 11 are yellow. Ma’am, there are 4 favorable outcomes. = Downloaded by Floresa Tahum (floresatahum31@gmail.com) lOMoARcPSD|36754751 What is the probability that blue marble will be picked? How many possible outcomes are there? How many favorable outcomes are there in picking a blue marble? What then is its probability? Very good. D. Generalization What again is probability of an event? What are the rules of probability? Probability of an event is a number from 0 to 1 which tells how likely event is to happen. Rule # 1. The probability of any event is a number (either a fraction, a decimal, or a percent) from 0 to 1. Rule # 2. If an event will never happen, then its probability is 0. Rule # 3. If an event is sure to happen, then the probability is 1. Rule # 4. The sum of the probabilities of all the outcomes in the sample space is 1. What is the formula in finding the probability of a simple event? None, Ma’am. Very good. Do you have any questions? IV. ASSESSMENT Solve the following carefully then write the correct on the space provided before each number. Write your answer in simplest form. 1. Pia is asked to choose a day from a week. What is the probability of choosing a day which starts with S? 2. A box contains 7 red balls, 5 orange balls, 4 yellow balls, 6 green balls and 3 blue balls. What is the probability of drawing out an orange ball? 3. Two fair coins are tossed simultaneously. What is the probability of showing a tail (T) followed by a head (H)? 4. If one letter is chosen at random from the word TRUSTWORTHY, what is the probability that the letter chosen is a consonant? 5. What is the probability of getting an 8 from a deck of cards? V. ASSIGNMENT Solve the following carefully, then write the correct on the space provided before each number. Write your answer in simplest form. 1. If a letter is chosen at random from the word PERSEVERANCE, what is the probability that the letter chosen is E. 2. The sides of the cube are numbered 11-16. If Jan Renz rolled the cube once, Downloaded by Floresa Tahum (floresatahum31@gmail.com) lOMoARcPSD|36754751 what is the probability of rolling a composite number? 3. A spinner is divided equally nd numbered as follows: 1, 1, 2, 3, 3, 4, 1, 1, 2, 4, 1, 2, 3, 4, 1, 2. What is the probability of that the pointer will stop at an even prime? Prepared by: Catherine B. Paz Checked by: ROBLEDO MIRANDO Cooperating Teacher Downloaded by Floresa Tahum (floresatahum31@gmail.com)
