1. (Free to use. May not be sold)
Contents
Expected Outcomes
Financial Expectation
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© G Dear 2008
(Free to use. May not be sold)

2. ©G Dear2010 – Not to be sold/Free to use
General Mathematic
(HSC)
Interpreting
Sets of Data
Skewness
Stage 6 - Year 12
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©G Dear2010 – Not to be sold/Free to use

3. 7A Expected Outcomes (1/6)
Is the number of times an event can be expected to occur in a given number of trials.
The number of times an event occurs (experimental) is not the same as theoretical.
Example: How many heads can be expected when a coin is tossed 500 times 1 2 1 2
P(Heads) =
Expectation =
x 500
= 250

4. 7A Expected Outcomes (2/6)

5. 7A Expected Outcomes (3/6)
Example: How many head/heads can be expected when two coins is tossed 200 times H T
H H
H T
T H
T T 1
P(Head/Head) = 4 1 4
Expectation =
x 200
= 50

6. 7A Expected Outcomes (4/6)

7. 7A Expected Outcomes (5/6)
Example: How many ‘picture cards’ can be expected when 26 cards are chosen from a standard deck of playing cards 52 12 12 52 3 13
P(Picture Card) = = 3 13
Expected =
x 26
= 6
Experiment

8. 7A Expected Outcomes (6/6)
Expected number of Picture Cards is 6 out of 26.

9. 7B Financial Expectations (1/)
Roulette
Experiment

10. 7B Financial Expectations (1/)
[Right-Click Mouse -> Select Play] If necessary.

11. 7B Financial Expectations (1/)
Poker Machine
Experiment