Pei Hwa Probability of Combined Events Practice

Pei Hwa Secondary School Mathematics Department Secondary 4 NA Review Worksheet Name: ______________________________________ Class: ________ TG: ______ Date: ____________ Chapter 3: Probability of Combined Events Success Criteria Success Criteria Indicate confidence level for each success criteria. 3.1 Probability of single event 1. I can list the sample space of the possible outcomes of a probability experiment. 2. I can find the probability of a single event. 3. I can understand the probability of an impossible event is 0. 4. I can understand the probability of certain event is 1. 5. I can apply the complement of probability to solve word problem. 3.2 Probability of combined events 6. I can draw a possibility diagram to represent the sample space of a 2-stage probability experiment. 7. I can calculate the probability of combined events using possibility diagrams. 8. I can draw a tree diagram to represent the sample space of a multi-stage probability experiment. 9. I can calculate the probability of combined events using tree diagrams. 10. I can solve the probability problems using either the possibility diagram or tree diagram. 3.3 Addition Law of Probability and mutually exclusive events 11. I can identify mutually exclusive events. 12. I can state the Addition Law of Probability. 13. I can solve probability problems involving mutually exclusive events using the Addition Law of Probability. 3.4 Multiplication Law of Probability and independent events 14. I can identify independent events. 15. I can identify dependent events.

16. I can state the Multiplication Law of Probability. 17. I can solve probability problems involving independent events using the Multiplication Law of Probability.

Pei Hwa Secondary School Mathematics Department Secondary 4 NA Review Worksheet Name: ______________________________________ Class: ________ TG: ______ Date: ____________ Chapter 3: Probability of Combined Events Success Criteria Success Criteria Indicate confidence level for each success criteria. 3.1 Probability of single event 18. I can list the sample space of the possible outcomes of a probability experiment. 19. I can find the probability of a single event. 20. I can understand the probability of an impossible event is 0. 21. I can understand the probability of certain event is 1. 22. I can apply the complement of probability to solve word problem. 3.2 Probability of combined events 23. I can draw a possibility diagram to represent the sample space of a 2-stage probability experiment. 24. I can calculate the probability of combined events using possibility diagrams. 25. I can draw a tree diagram to represent the sample space of a multi-stage probability experiment. 26. I can calculate the probability of combined events using tree diagrams. 27. I can solve the probability problems using either the possibility diagram or tree diagram. 3.3 Addition Law of Probability and mutually exclusive events 28. I can identify mutually exclusive events. 29. I can state the Addition Law of Probability. 30. I can solve probability problems involving mutually exclusive events using the Addition Law of Probability. 3.4 Multiplication Law of Probability and independent events 31. I can identify independent events. 32. I can identify dependent events.

33. I can state the Multiplication Law of Probability. 34. I can solve probability problems involving independent events using the Multiplication Law of Probability.

Pei Hwa Secondary School Mathematics Department Secondary 4 NA Review Worksheet Name: ______________________________________ Class: ________ TG: ______ Date: ____________ Chapter 3: Probability of Combined Events Success Criteria Success Criteria Indicate confidence level for each success criteria. 3.1 Probability of single event 35. I can list the sample space of the possible outcomes of a probability experiment. 36. I can find the probability of a single event. 37. I can understand the probability of an impossible event is 0. 38. I can understand the probability of certain event is 1. 39. I can apply the complement of probability to solve word problem. 3.2 Probability of combined events 40. I can draw a possibility diagram to represent the sample space of a 2-stage probability experiment. 41. I can calculate the probability of combined events using possibility diagrams. 42. I can draw a tree diagram to represent the sample space of a multi-stage probability experiment. 43. I can calculate the probability of combined events using tree diagrams. 44. I can solve the probability problems using either the possibility diagram or tree diagram. 3.3 Addition Law of Probability and mutually exclusive events 45. I can identify mutually exclusive events. 46. I can state the Addition Law of Probability. 47. I can solve probability problems involving mutually exclusive events using the Addition Law of Probability. 3.4 Multiplication Law of Probability and independent events 48. I can identify independent events. 49. I can identify dependent events.

50. I can state the Multiplication Law of Probability. 51. I can solve probability problems involving independent events using the Multiplication Law of Probability.

Pei Hwa Secondary School Mathematics Department Secondary 4 NA Review Worksheet Name: ______________________________________ Class: ________ TG: ______ Date: ____________ Chapter 3: Probability of Combined Events Success Criteria Success Criteria Indicate confidence level for each success criteria. 3.1 Probability of single event 52. I can list the sample space of the possible outcomes of a probability experiment. 53. I can find the probability of a single event. 54. I can understand the probability of an impossible event is 0. 55. I can understand the probability of certain event is 1. 56. I can apply the complement of probability to solve word problem. 3.2 Probability of combined events 57. I can draw a possibility diagram to represent the sample space of a 2-stage probability experiment. 58. I can calculate the probability of combined events using possibility diagrams. 59. I can draw a tree diagram to represent the sample space of a multi-stage probability experiment. 60. I can calculate the probability of combined events using tree diagrams. 61. I can solve the probability problems using either the possibility diagram or tree diagram. 3.3 Addition Law of Probability and mutually exclusive events 62. I can identify mutually exclusive events. 63. I can state the Addition Law of Probability. 64. I can solve probability problems involving mutually exclusive events using the Addition Law of Probability. 3.4 Multiplication Law of Probability and independent events 65. I can identify independent events. 66. I can identify dependent events.

67. I can state the Multiplication Law of Probability. 68. I can solve probability problems involving independent events using the Multiplication Law of Probability.

1. 360 people go on a school trip to one of the four places. The table shows the number of people at each place. (a) Find the value of a, b and c. (b) One person is picked at random. Find the probability that the person is a girl who visits the wild life centre. [2023, Crest Sec, Prelims, P2, Q3a & b] 2. The table shows results from a survey of the shoe sizes of a class of 40 students. The probability of a student’s shoe size being larger than 7 is 3 20 . Find the value of q. [2023, Bukit View Sec, Prelims, P2, Q3a] 3. The stem-and-leaf diagram shows the pH value of 16 different types of detergent. In a scientific investigation, pH indicator was added to the different detergent. The