Determining the Sample Space

There are four ways to determine the sample space, those are:

1. Listing

2. Tree Diagram

3. Table

4. Cartesian Diagram

Listing

We have a coin which have number side and picture side. The sample space are :

S={N,P}n(S)=2

Tree Diagram

We have a coin which have number side and picture side. Then, we throw it for two times.

We can find the sample space by using tree diagram like this one.

N presents the Number sideP presents the Picture side

S = {(N,N),(N,P),(P,N), (P,P)}

Table

P N

P (P,P) (P,N)

N (N,P) (N,N)

The sample space is {(P,P),(P,N),(N,P),(N,N)}

The sample points are (P,P),(P,N),(N,P),(N,N)

Cartesian Diagram

The sample points are (P,P),(P,N),(N,P),(N,N)

The sample space (S) is {(P,P),(P,N),(N,P),(N,N)}

Look at the coin which has number side and picture side.

Picture side(P) Number side(N)

Then :Sample space (S) = { N , P } Sample point = N and P, then n(S) = 2

example

Then :Sample space (S) = { 1, 2, 3, 4, 5, 6 } Sample point = 1, 2, 3, 4, 5, and 6, then n(S) = 6

The Probability : Number1 Number 2 Number 3 Number 4 Number 5 Number6

Question : What does sample space mean?