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Kaizen Academy

Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

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Page 1: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Page 2: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

kaizenacademy.com.au facebook.com/kaizenacademyAU

Page 3: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

HSC Crash CourseProbability

Page 4: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Introduction

Page 5: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Introduction

Probability Notation:

Page 6: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Single Event – Single Outcome

Page 7: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Question 1

Page 8: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen Academy

Question 1Solution

Part A

Part B8 White Cats3 Black Cats2 Brown Cats

Page 9: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Single Event - Multiple Outcomes?

Page 10: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Question 2

Page 11: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen Academy

Question 2Solution

Page 12: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Question 3

Page 13: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen Academy

Question 3Solution

Part A

Part B

25 Students17 Chocolate11 Strawberry3 Neither

617 - 6 = 11 11 - 6 = 5

3

Strawberry Chocolate

Page 14: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Question 4

Page 15: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen Academy

Question 4Solution

9 Emus5 Kangaroos3 Wombats

Page 16: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Emu Wombat

Page 17: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Question 5

Page 18: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen Academy

Question 5Solution

Part A

Part B

Part C

24 Purple15 White12 Blue9 Green

Page 19: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Probability

Single Events

Multiple Outcomes

Outcomes that CAN occur together

Outcomes that CANNOT occur together

Single Outcomes

Multi-stage Events

Independent Dependent

Page 20: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Multi-stage Events:

Page 21: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Question 6

Page 22: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Question 6

Page 23: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen Academy

Question 6Solution

Part A

Part B

Part C

Page 24: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Question 7

Page 25: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen Academy

Question 7Solution

4 Pink2 Black3 Yellow

Page 26: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Question 8

Page 27: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen Academy

Question 8Solution

Page 28: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Probability

Single Events

Multiple Outcomes

Outcomes that CAN occur together

Outcomes that CANNOT occur together

Single Outcomes

Multi-stage Events

Independent Dependent

Page 29: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Question 9

Page 30: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen Academy

Question 9Solution

Part A

Part B

Part C

Part D

7 Green Beans5 Red Beans

Page 31: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Question 10

Page 32: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen Academy

Question 10Solution

Part A

Part B

Part C

34 Men- 13 Married

21 Unmarried32 Women

- 19 Married13 Unmarried

Page 33: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Probability

Single Events

Multiple Outcomes

Outcomes that CAN occur together

Outcomes that CANNOT occur together

Single Outcomes

Multi-stage Events

Independent

Binomial Probability

Dependent

Page 34: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Binomial Probability

Page 35: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Question 11

Page 36: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen Academy

Question 11Solution Part A

Part B

Page 37: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Question 12

Page 38: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen Academy

Question 12Solution

Page 39: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Question 13

Page 40: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen Academy

Question 13Solution

Page 41: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Mathematics 2018 Q14E

Page 42: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Mathematics 2018 Q14E

Page 43: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen AcademyMathematics2018 Q14ESolution

Part i

Part ii

Machine A - 10%Machine B - 5%

Page 44: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Mathematics 2016 Q15B

Page 45: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen AcademyMathematics2016 Q15BSolution Part i

Page 46: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen AcademyMathematics2016 Q15BSolution

Part ii

Page 47: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Mathematics Extension 1 2018 Q12D

Page 48: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen AcademyMathematicsExtension 12018 Q12DSolution

Page 49: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Mathematics Extension 1 2017 Q11G

Page 50: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen AcademyKaizen AcademyMathematicsExtension 12017 Q11GSolution

Part A

Part B

Part C

Page 51: Kaizen Academy...Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners

Kaizen Academy

Liked what you saw?

Not completely satisfied with your Mathematics tutor?Want to get the edge on all your peers?

Kaizen Academy is a mathematics based academic coaching centre focusing on more than just lectures to large classes. We help you become strong independent learners such that you can manage procrastination, build strong study habits and retain what you are taught to maximise your HSC performance.

To get in touch, message our Facebook page or email us at [email protected].