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

Sample Space (1/3) A sample space is a list of all possible outcomes for a probability experiment. n(S) is the number of elements in the sample space. n(E) is the number of favourable elements in the sample space. Sometimes elements repeat and so we may be asked for distinct elements.

Sample Space Example 1 (2/3) List the sample space of a barrel of marbles. 2 green, 1 blue and 3 red. S = {green, green, blue, red, red, red} Sample Space n(S) = 6 Number of elements Sample Space If E = {red, red, red} n(E) = 3 List of favourable Events Number of favourable elements

Sample Space Example 2 (3/3) List the sample space of the word WOOLLOOMOOLOO. S = {W,O,O,L,L,O,O,M,O,O,L,O,O} n(S) = 13 If E = The letter ‘O’ n(E) = 8