illustrate mutually exclusive events.pptx

lesson for grade 10 learners

1. Class Rules Do not use your celphone during class hour Raise your hand if you want to speak Do not disturb others Respect others Follow directions Cooperate during Group Activity Listen when others are speaking

2. 9/3/20XX Presentation Title 2 DRILL: Add or subtract the following similar fractions.    

3. 9/3/20XX Presentation Title 3 DRILL: Add or subtract the following similar fractions.    

4. 9/3/20XX Presentation Title 4 DRILL: Add or subtract the following similar fractions.      

5. 9/3/20XX Presentation Title 5 DRILL: Add or subtract the following similar fractions.      

6. 9/3/20XX Presentation Title 6 DRILL: Add or subtract the following similar fractions.      

7. Illustrating Mutually Exclusive Events 7 RECALL: Simple Probability 1. A jar contains 8 yellow candies, 5 red candies, 6 green candies, 4blue candies, and 7 purple candies. If a candy is picked at random, what is the probability that a candy picked is a: a) a yellow candy? b) a blue candy? c) a purple candy?   Sample space = 8+5+6+4+7 = 30       Type equation here.  

8. 9/3/20XX Presentation Title 8     When drawing one card out of a deck of playing cards, what is the probability of the following? a.) Getting heart or a face card (king, queen, or jack)? b.) A card that is a Queen or a Club is selected. c.) A card that is a Queen or a King is selected.      

9. 9 Activity1: WORD SEARCH Search the following words: PROBABILITY MUTUALLY NOT MUTUALLY EXCLUSIVE EVENTS “Pag talagang mahal mo hanapin mo. Kung para talaga siya sayo , magtatagpo kayo”.

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11. Mathematics 10 Q3 week 8 Probability of Mutually Exclusive Events and Not Mutually Exclusive Events

12. 9/3/20XX Presentation Title 12 Lesson Objectives: Differentiate mutually exclusive from not mutually exclusive events. Find the probability of mutually exclusive and not mutually exclusive events. Value accumulated knowledge as a means of understanding.

13. 9/3/20XX Presentation Title 13 Activity2: Which is Which Choose one between the given choices 1. Which road will you take? Left or Right? 2. Playing Mobile Legends or Study your Lesson? 3. Singing or Dancing? 4. Mahal ko or Mahal ako ?

14. 9/3/20XX Presentation Title 14 Processing Questions: Which of the following pair of choices can happen at the same time? Which of the following pair of choices cannot happen at the same time? If the pair of choices in items 1 and 2 illustrate Mutually Exclusive events, how will you describe Mutually Exclusive Events? If the pair of choices in items 3 and 4 illustrate Not Mutually Exclusive events, how will you describe Not Mutually Exclusive Events?

15. 9/3/20XX Presentation Title 15 Mutually Exclusive Events events that cannot occur at the same time events that have no common element There is no intersection between events A and B

16. 9/3/20XX Presentation Title 16 Not Mutually Exclusive Events events that may occur at the same time There is an intersection between events A and B events that intersect or there are outcomes that are common to them.

17. 9/3/20XX Presentation Title 17 Activity 3: Occurring Inspection Given the following, could the two events A and B in the following situations happen at the same time? Say “YES” if they can happen at the same time and “NO” if they can’t happen at the same time. 1. Tossing a coin Event A : You get a “head”. Event B : You get a “tail”. NO

18. 9/3/20XX Presentation Title 18 Activity 3: Occurring Inspection Given the following, could the two events A and B in the following situations happen at the same time? Say “YES” if they can happen at the same time and “NO” if they can’t happen at the same time. 2. A card is drawn from a 52 deck of card Event A : a spade is drawn. Event B : a king is drawn. YES This Photo by Unknown Author is licensed under CC BY-SA

19. 9/3/20XX Presentation Title 19 Activity 3: Occurring Inspection Given the following, could the two events A and B in the following situations happen at the same time? Say “YES” if they can happen at the same time and “NO” if they can’t happen at the same time. 3. One student is elected as SSG President. Event A : Erick is elected as SSG President. Event B : Jane is elected as SSG President. NO

20. 9/3/20XX Presentation Title 20 Activity 3: Occurring Inspection Given the following, could the two events A and B in the following situations happen at the same time? Say “YES” if they can happen at the same time and “NO” if they can’t happen at the same time. 4. Your wallet contains 3 20-peso bills and 5 100-peso bills. A single peso bill is picked. Event A : You get a 20-peso bill. Event B : You get a 100-peso bill. NO

21. 9/3/20XX Presentation Title 21 Activity 3: Occurring Inspection Given the following, could the two events A and B in the following situations happen at the same time? Say “YES” if they can happen at the same time and “NO” if they can’t happen at the same time. 5. You roll a 6-sided die. Event A : You get a “4”. Event B : You get an even number. YES

22. 9/3/20XX Presentation Title 22 Mutually Exclusive Events Not Mutually Exclusive Events events that CANNOT occur at the same time events that CAN occur at the same time 1. Tossing a coin Event A : You get a “head”. Event B : You get a “tail”. 2. A card is drawn from a 52 deck of card Event A : a spade is drawn. Event B : a king is drawn. 3. One student is elected as SSG President. Event A : Erick is elected as SSG President. Event B : Jane is elected as SSG President. 4. Your wallet contains 3 20-peso bills and 5 100-peso bills. A single peso bill is picked. Event A : You get a 20-peso bill. Event B : You get a 100-peso bill. 5. You roll a 6-sided die. Event A : You get a “4”. Event B : You get an even number.

23. 9/3/20XX Presentation Title 23 Probability of Mutually Exclusive Events If two events, A and B are mutually exclusive events, then the probability that either event A or B occurs is the sum of their probabilities. That is or which means  

24. 9/3/20XX Presentation Title 24 Probability of Not Mutually Exclusive Events If two events, A and B are not mutually exclusive events, then the probability that either event A or B occurs is the sum of their probabilities decreased by the probability of both occur. That is or which means  

25. EXAMPLE 1: A bag contains 9 white balls, 5 orange balls and 6 red balls. If a ball is drawn, find the probability that it is a white or a red ball?

26. EXAMPLE:

27. EXAMPLE 2: A bowl contains 15 chips numbered 1 to 15. If a chip is drawn randomly from the bowl, what is the probability that it is odd or divisible by 3?

28. Solution: 𝑃(𝑜𝑑𝑑) = 𝑃(𝑑𝑖𝑣𝑖𝑠𝑖𝑏𝑙𝑒 𝑏𝑦 3)=   Since there are numbers divisible by 3 and odd numbers, then they are not mutually exclusive events. So, 𝑃(𝑜𝑑𝑑 𝑜𝑟 𝑑𝑖𝑣𝑖𝑠𝑖𝑏𝑙𝑒 𝑏𝑦 3) = + - = =  

29. Example 3: 9/3/20XX Presentation Title 29 A fair die is rolled once, what is the probability of getting a Factor of 4 or a Multiple of 3? Solution:         Mutually Exclusive Events        

30. Example 4: 30 A spinner is divided into 7 congruent parts. If it is spun once, what is the probability of getting a 1 or getting a composite number? Solution:         Mutually Exclusive Events        

31. Example 5: 31 A number is drawn at random from the set . Find the probability that the number chosen is (A) a multiple of 3 or (B) a multiple of 10?   Solution:         Mutually Exclusive Events          

32. Example 6: 32 Each of the letters S, A, F, E, T, and Y is written on a face of a letter cube. Find the probability that (F) a letter of the word FACE or (M) a letter of the word MASK will appear when you roll the letter cube once. Solution:         Not Mutually Exclusive Events                

33. 9/3/20XX Presentation Title 33 Tell whether each of the following statement is mutually exclusive events or not mutually exclusive events. 1. Drawing a 5 or 8 in a standard deck of cards. 2. Getting a grade of 90 in Math and a grade of 90 in English. 3. A person works in the Philippines and a pinay . 4. A person is watching TV and sleeping. 5. Rolling a fair die and getting an even number or a multiple of 6.

34. 9/3/20XX Presentation Title 34 Tell whether each of the following statement is mutually exclusive events or not mutually exclusive events. 6. In rolling a die, what is the probability of getting either a number 2 or a number 4? 7. A box contains flash cards numbered from 1 to 50. One card is drawn at random. Find the probability of getting a prime number or a multiple of 10. 8. A card is drawn from a standard deck of cards. What is the probability of getting a diamond or a king?

35. 9/3/20XX Presentation Title 35 Tell whether each of the following statement is mutually exclusive events or not mutually exclusive events. 9. Mario has 45 red chips, 12 blue chips, and 24 white chips. What is the probability that Mario randomly selects a red chip or a white chip? 10. A magazine contains fourteen pages. You open to a random page. Find the probability that the page number is three or seven.

36. 9/3/20XX Presentation Title 36 Tell whether each of the following statement is mutually exclusive events or not mutually exclusive events. 11. Of 240 students, 176 are on the honor roll, 48 are members of the varsity team, and 36 are in the honor roll and are also members of the varsity team. What is the probability that a randomly selected student is on the honor roll or is a member of the varsity team? 12. Ruby’s dog has 8 puppies. The puppies include white females, 3 mixed color females, 1 white male, and 2 mixed-color males. Ruby wants to keep one puppy. What is the probability that she randomly chooses that a puppy is female and white?

37. 9/3/20XX Presentation Title 37 Tell whether each of the following statement is mutually exclusive events or not mutually exclusive events. 13. Out of 100 households surveyed, 70 had a dog, 20 had a cat, and 10 had both a dog and cat. What is the probability that randomly selected household has a dog or a cat? 14. A jar contains 16 red chips numbered 1 to 16, and 24 blue chips numbered 1 to 24. A chip is drawn at random. Find the probability that it is a blue or has even number.

38. 9/3/20XX Presentation Title 38 Tell whether each of the following statement is mutually exclusive events or not mutually exclusive events. 15. Getting a j ack and a diamond when picking a card from standard deck.

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45. Thank you 9/3/20XX Presentation Title 45 Presenter name Email address Website

46. 9/3/20XX Presentation Title 46 Finding the Probability of Mutually Exclusive and Not Mutually Exclusive Events

47. 9/3/20XX Presentation Title 47 Activity Mutually Exclusive or Not Mutually Exclusive Events? A bowl contains 10 balls numbered 1 – 10. Identify if the following events are ME or NME. Solve for their probability 1. Getting a 2 or an even number. 2. Getting an odd or an even number. 3. Getting a composite or an odd number

48. 9/3/20XX Presentation Title 48 Mutually Exclusive Events  

49. 9/3/20XX Presentation Title 49 Not Mutually Exclusive Events  

50. 9/3/20XX Presentation Title 50 Activity Consider each problem below . Determine whether the events are mutually exclusive or not mutually exclusive. Then, find the probability. 1. Mario has 45 red chips, 12 blue chips, and 24 white chips. What is the probability that Mario randomly selects a red chip or a white chip? 2. Of 240 students, 176 are on the honor roll, 48 are members of the varsity team, and 36 are in the honor roll and are also members of the varsity team. What is the probability that a randomly selected student is on the honor roll or is a member of the varsity team?

51. 9/3/20XX Presentation Title 51 3. Carl’s basketball shooting records indicate that for any frame, the probability that he will score in a two-point shoot is 30%, a three-point shoot, 45%, and neither, 25%. What is the probability that Carl will score either in a two-point shoot or in a three-point shoot?