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Probability Home

Probability Home | Relative Frequency | Experimental Probability | Theoretical Probability | Tree Diagrams | Conditional Probability | 1.6 Revision

Achievement Standard 1.6 Probability investigates the chance of things happening (events) and what the expected result may be.
Experimental probabilities, simulations and tree diagrams will be used.

Probability starters Power Point

1



Overview

Introduction, Assessment criteria. Notation & definitions. Review of the probability scale from 0 to 1.0
Comparing experimental to theoretical: coin flipping excel simulation. Experimental long run relative frequency.

Achievement Standard

Overview

Class notes, Blank notes

 

Experimental relative frequency

Coin flipping simulation

2



Experimental probabilities

Guess the number of coloured balls in a box Comparing practical & theoretical results.
Jail Break. Dice vertices maximum

 

Class notes, Blank notes

Ex 22.01 p312

Experimental probabilities

Dice Simulation | Coloured ball simulation

p93

3



Theoretical probabilities

Probabilities involving one event
P(A),  Union - probability of A and/or B P(A u B),  Intersection - probability of A and B P(A n B) from a table of results

Class notes, Blank notes

Ex 22.02 p314

Theoretical Probabilities

p94

4



Expected number

E(x) & Probabilities from spinners

Spinner puzzles: mix and match, Draw the spinner

Class notes, Blank notes

 

5



Tree Diagrams

Two or more events: using tree diagrams to solve problems

Class notes, Blank notes

Ex 22.04 p323

p95

6



Tree Diagrams (cont)

Probability trees, with and without  replacement. Adding extra branches in a tree diagram

Class notes, Blank notes

Ex 22.04 p323 (cont)

Probability Tree without replacement

p96

7



Conditional probability

Finding conditional probabilities from a table, list and a probability tree.

Class notes, Blank notes

 

8



Simulations

Designing and conducting simulations to determine probabilities.

Class notes, Blank notes | Notes 2 | Notes 3

Ex 22.03 p319

Card simulation

p99

9



Simulations (cont)

Performing experiments and writing clear instructions.

TTRC 1 | TTRC 2

Ex 22.03 p319 (cont)

p100

10



Revision

(Previous exam papers & more simulation instructions)

Class notes, Blank notes | Revision 2 | Revision 3 | Revision 4

Revision

p98, 101

11



Revision

 

Revision Exersise p326

Revision

p97

12



Test

Practice assessment for the end of year examination

   

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