©G Dear 2009 – Not to be sold/Free to use Language of Chance General Mathematics Preliminary Equally Likely Outcomes Stage 6 - Year 11 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use

(Un)Equally Likely Outcomes (1/4) Random Events means NO bias in favour of one event over another. =INT(RAND()*99)+1 Random Number Generator

Equally Likely Outcomes (2/4) Probability can’t be calculated unless all individual outcomes are equally likely. 2 1 1 1 2 1 2 3 2 4 3 4 3 4 5 4 5 5 6 Yellow, Red and Green ARE equally likely. Yellow, Red and Green ARE NOT equally likely.

Equally Likely Outcomes (3/4) versus Is a Win for the Sharks equally as likely as a win for the Eels? No! No! No!

Equally Likely Outcomes (4/4) The Sample space for a dice. S = {1, 2, 3, 4, 5, 6} All events are equally likely. Sample space for the sum of 2 die. + 1 2 3 4 5 6 7 8 9 10 11 12 Note: 7 is more likely than 3. All events are still equally likely.