(Free to use. May not be sold) Contents Expected Outcomes Financial Expectation Press ‘Ctrl-A’ © G Dear 2008 (Free to use. May not be sold)

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

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

7A Expected Outcomes (2/6)

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

7A Expected Outcomes (4/6)

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

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

7B Financial Expectations (1/) Roulette Experiment

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

7B Financial Expectations (1/) Poker Machine Experiment