Grade 8 mathematics Probability of a simple event

This topic indicates the probability of a simple event. Grade 8 Mathematics

1. D O R A THE EXPLORER

2. OBJECTIVES : At the end of the discussion, the students will be able to: Define Probability and Simple Event; Find the Probability of a Simple Event; and Express appreciation on the importance of probability in real-life.

3. In our previous exploration, what do we have learned? Point 1 Point 2 Point 3 Point 4

4. In our previous exploration, what do we have learned? Point 1 Point 2 Point 3 Point 4 used to organize outcomes from the experiment from putting them into rows and columns.

5. In our previous exploration, what do we have learned? Point 1 Point 2 Point 3 Point 4 used to organize outcomes from the experiment from putting them into rows and columns. Tabular Method

6. In our previous exploration, what do we have learned? Point 1 Point 2 Point 3 Point 4 2. allows us to see all possible outcomes of an event and calculate the probability. Tabular Method

7. In our previous exploration, what do we have learned? Point 1 Point 2 Point 3 Point 4 2. allows us to see all possible outcomes of an event and calculate the probability. Tabular Method TREE DIAGRAM

8. In our previous exploration, what do we have learned? Point 1 Point 2 Point 3 Point 4 3. organizes outcomes and groups them in a systematic way for easier enumeration of results. Tabular Method TREE DIAGRAM

9. In our previous exploration, what do we have learned? Point 1 Point 2 Point 3 Point 4 3. organizes outcomes and groups them in a systematic way for easier enumeration of results. Tabular Method TREE DIAGRAM SYSTEMatic listing

10. In our previous exploration, what do we have learned? Point 1 Point 2 Point 3 Point 4 Tabular Method TREE DIAGRAM SYSTEMatic listing Fundamental counting principle

11. ch ara cte rs Boots Swiper dora

12. BoOTs Birthday present! Boots is such a good friend of mine and today, I have a big surprise to him on surprise hill.

13. Let us explore! Point 1 Point 2 Point 3 Point 4

14. Ba ck pa ck & M a P

15. M a p Obstacle 1 Obstacle 2 Obstacle 3 Surprise hill tunnel Misleading forest Drowning river

16. S el ec t Again, which area should we pass first? tunnel Misleading forest Drowning river Surprise hill

17. Which way is for the Tunnel?

18. tunnel Tunnel Keeper: For you to be able to pass through the tunnel, you have to answer the question, “What is our topic all about?”

19. Tunnel keeper: : By rolling a die, what did we get? : Do you think that if I roll this die again, we could get the other numbers? : By rolling a colored die, what did we get? : Do you think that if I roll this die again, we could get the same color? : By rolling a tossing a coin, what did we get? : Do you think that if I roll this coin again, we could get tail?

20. Tunnel keeper: From this, what do you think is out topic for today?

21. Tunnel keeper: From this, what do you think is out topic for today? Finds the probability of a simple event

22. Tunnel keeper: From this, what do you think is out topic for today? Finds the probability of a simple event “You may now pass the tunnel. Farewell!”

23. S el ec t Now, which area should we pass? tunnel Misleading forest Drowning riVer Surprise hill

24. Which way is for the Misleading Forest?

25. Misleading forest Groot: “I am Groot, the knowledgeable guardian of this forest. You can’t pass through this forest unless you absorb all the learnings inside this forest.”

26. Groot: Probability is the measure of likelihood or chance that an event will happen or occur. Probabilities are written as fractions or decimals from 0 to 1 or as percent from 0% to 100%. The higher an event‘s probability, the more likely that the event is to happen.

27. Groot: A Simple Event is one that can only happen in one way - in other words, it has a single outcome. Probability of simple event can be calculated using the formula:   P (event) = , In symbol P(E) = , where E is the event, n(E) is the number of favorable outcomes, while n(S) is the total number of possible outcomes of an experiment or the total number of outcomes in the sample space.  

28. Groot:   P (event) = , P(E) = where: P(E) is the probability of the event (H). n(E) is the number of getting a head. n(S) is the total number of possible outcomes. Example: If you flip a coin once, what is the probability of getting a head? P(H) = . So, the probability of getting a head in flipping a coin once is .  

29. Groot: Example: 5 blue balls, 2 orange balls, and 3 white balls. What is the probability of picking an orange ball?

30. Groot: Example: 5 blue balls, 2 orange balls, and 3 white balls. What is the probability of picking an orange ball? P(O) = = . So, the probability of getting an orange ball is .  

31. Groot: Example: Using our Magic Wheel, Calculate the probability of each event: P(1) P(black) P(white) P(odd)

32. Groot: Example: Using our Magic Wheel, Calculate the probability of each event: P(1) = 1/8 P(black) = P(white) = P(odd) =

33. Groot: Example: Using our Magic Wheel, Calculate the probability of each event: P(1) = 1/8 P(black) = 1/2 P(white) = P(odd) =

34. Groot: Example: Using our Magic Wheel, Calculate the probability of each event: P(1) = 1/8 P(black) = 1/2 P(white) = 1/2 P(odd) =

35. Groot: Example: Using our Magic Wheel, Calculate the probability of each event: P(1) = 1/8 P(black) = 1/2 P(white) = 1/2 P(odd) = 1/2

36. Misleading forest Groot: “It looks like you have already absorb all the knowledge that this forest could give to you, you may now pass.”

37. S el ec t Now, which area should we pass? tunnel Misleading forest Drowning riVer Surprise hill

38. Which way is for the Drowning River?

39. Drowning river Crocoman : “I am Crocoman , the patrol guardian of this river. You can only pass this river after you give a plausible reason for the given scenario.”

40. Drowning river Crocoman : Jannah is hungry and has 50 pesos left on h er pocket and she is confused if she should bet on the ripa because of the many prizes that can be received if she wins it. She wants to know how likely she is to win if she bets on it. What is the probability of Jannah in winning the ripa if it will be run using bingo shaker that has 1-75 numbers on it. She is planning to pick number 9 because it is her favorite number.   What do you think Jannah should do? Take a bet or not?

41. Drowning river Crocoman : Jannah is hungry and has 50 pesos left on h er pocket and she is confused if she should bet on the ripa because of the many prizes that can be received if she wins it. She wants to know how likely she is to win if she bets on it. What is the probability of Jannah in winning the ripa if it will be run using bingo shaker that has 1-75 numbers on it. She is planning to pick number 9 because it is her favorite number.   What do you think Jannah should do? Take a bet or not? P(L) = . So, the probability of Jannah in winning the lottery is .  

42. Drowning river Crocoman : “Since you have stated a valid reason, you may now pass the river.”

43. S el ec t Now, which area should we pass? tunnel Misleading forest Drowning riVer Surprise hill

44. Do you see Surprise Hill?

45. While dora and boots are on their way to surprise hill, they realize something althroughout their exploration If an event has a probability of 0, or 0%, then it will never happen or it is impossible to happen. Example: A 7 turning up in a rolling a die once. If an event has a probability of 0.5 or 50%, then the event has the same chance or even chance to happen or not to happen. Example: Winning in playing chess with your friend.

46. While dora and boots are on their way to surprise hill, they realize something althroughout their exploration If an event has a probability of 1, or 100%, then the event is certain to happen. Example: If today is Monday, the probability that tomorrow is Tuesday is 1. Therefore, the event that tomorrow will be a Tuesday if today is a Monday is a certain event. The sum of the probabilities of all the outcomes of an experiment is 1. Example: If you flip a fair coin once, there are two possible outcomes, a head or a tail.

47. Oh no! Swiper!

48. ” Swiper no Swiping ”

49. For us to open the gift, we must answer the following questions.

50. Thank you for listening