1. NOTE 2: sample spaces
There are a number of ways of displaying sample spaces:
Listing outcomes
2-dimensional graphs
Tree diagrams
Venn diagrams

2. Example: Find the sample space for tossing a coin and rolling a tetrahedron dice (1-4)
Listing outcomes
{H1, H2, H3, H4, T1, T2, T3, T4}
2-dimensional grid
tree diagram

3. NOTE 3: theoretical prob
The theoretical probability is a measure of the chance of a particular event occurring in any trial of the experiment P(event) = the number of members of event E total number of possible outcomes If E is an event, then E’ is the complementary event. P(E’) + P(E) = 1

4. Examples:
A marble is chosen from a bag containing 10 marbles, numbered 1-10 inclusive. Find the probability that the marble chosen at random is:
less than 3
not 8
at least 7
P(x < 3) =
2/10
P(x = 8) =
9/10
P(x > 7) =
4/10

5. Standard Level:
Page 477
Exercise 19C
Studies:
Page 500
Exercise 16C