union and intersection of events.ppt
- 2. Believe It or Not! Analyze the situation below: 1. Fitting your wedding dress prior to your wedding day will cost you your life. 2. Sweeping the floor at night will bring you bad luck 3.When a woman sings while cooking, she will end up a spinster 4.When three people pose for a picture, the one at the center will be the first to die. 5. Crossing paths with a black cat is a bad omen.
- 3. Match the following situation below with the probability line. Match Me with the Probability Scale 1.There are 7 days in a week. 2.Outof 20 items, Christine Bethel got 15. 3.In the Philippines, it will snow in March 4.If you flip a coin, it will come down head. 5.All months of the year have 28 days. 6.It will be daylight in Manila at midnight. 7.The day before Monday is Sunday. 8.Of the 40 seedlings, only 10 survived. 9.The third person to knock on the door will be a female. 10.Next year, the month after November has 30 days.
- 4. Things to Remember EXPERIMENTS A situation involving chance or probability that leads to results called OUTCOMES.Ex: Head or Tail Ex: Flipping a coin SAMPLE SPACE is the set of all outcomes in an experiments. Ex: Head, Tail EVENT one or more outcomes of an experiment. Ex: getting head in a single toss. PROBABILITY is the measure of how like an event is. Ex: ½ or .5 or 50% SIMPLE EVENT an event which consist of one outcome. COMPOUND EVENT are event which consist of more than one outcome.
- 5. Probability Rules: Never to happen Sure to happen 1. The probability of any event is a number from 0 to 1. Ex: The weather forecast shows a 70% rain. 2.If an event will never happen,then its probability is 0. Ex:What is the probability of getting 8,when single die is rolled. 3.If an event is sure to happen, then the probability is 1. Ex:What is the probability of getting a number less than 7 when a single die is rolled. 4. The sum of the probabilities of all outcomes in the sample space is 1.
- 6. Probability of Events Probability of Simple Events(is a number from 0 to 1 which tells how likely the event is to happen) If each of the outcomes in a sample space is equally likely to occur, then probability of an event E, denoted as P(E) is given by: P(E) = number of ways the event can occur Number of possible outcome or P(E)= number of outcomes in the event Number of outcomes in the sample space
- 8. Based on the answers above, it can be concluded that the word “or” is related to union of sets and “and” is connected to intersection of sets.
- 9. Union and Intersection of Events
- 11. When you were in Grade 8, you learned different terms in finding probability of a simple event. Some of them are as follows: a. Experiment – an activity which could be repeated over and over again and which has well- defined results. b. Outcome – a result of an experiment c. Sample Space – a set of all outcomes in an experiment d. Event – a subset of the sample space
- 16. If you were asked to select a set of order, then, you have to choose between the two kakanin, between the two kind pastas, and between the two drinks. Then, sample space : {(sinukmani, spaghetti, pineapple juice), (sinukmani, spaghetti, orange juice), (sinukmani, palabok, pineapple juice), (sinukmani, palabok, orange juice), (puto, spaghetti, pineapple juice), (puto, spaghetti, orange juice), (puto, palabok, pineapple juice), (puto, palabok, orange juice)}. What if you were asked of the number of outcomes in selecting an order of merienda with sinukmani and with pineapple juice? Based from the illustration, there are two outcomes for the given event which are (sinukmani, spaghetti, pineapple juice) and (sinukmani, palabok, pineapple juice).
- 17. You can recognize that the events in the given situation are not simple events. In finding the sample, you need to find first the sample space using the fundamental counting principle. The said events are called compound events. It is defined as events which consist of more than one outcome. A compound event consists of two or more simple events.
- 20. Example 4. Let’s take again Figure 1 that is discussed, previously. The extracurricular activities in which the Grade 10 students of San Jose National High School during the School Year 2019-2020 participated are shown.
- 24. Learning Task 2 Find the union and intersection of events A and B defined by the following situations. 1. A four-section spinner marked red, yellow, blue, and black is spun once and a five peso coin is tossed once. A is the event of spinning a yellow and B is the event of getting a head. 2. A die is tossed twice. A is the event of getting equal dots and B is the event of getting a sum of 8
- 25. Performance Task During the quarantine period due to COVID-19, everybody was affected. People were afraid that the virus may infect them. Fake news flooded in social media that increase worries to the people. The government set the standard rules to be followed by everybody. They encourage everyone to stay at home. 1. What are the common problems encountered during the quarantine period? 2. What are your reactions regarding the fake news that flooded in social media during the quarantine period?
- 26. Thank You for listening..... Riza B. Catli