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Subsection 3.2.2 Probability Experiment and Sample Space

Activity 3.2.2.

\({\color{black} \textbf{Work in groups}}\)
Here the material needed is only 1 coin
Toss a coin 20 times and record how many times it lands on heads and tails.
Discuss
\({\color{black} \textbf{Key Takeaway}}\)
A probability experiment is an action or a process that results in a set of possible outcomes. The collection of all possible outcomes is called the sample space.

Example 3.2.3.

A student of Makhokho Secondary School rolled a six-sided die. Give the sample space
Solution.
the possible outcomes are
\begin{align*} S \amp =\textbf{{1,2,3,4,5,6}} \end{align*}
the sample space consists of \(6\) possible outcomes.

Example 3.2.4.

Mutuse’s bag contains \(3\) red ballgums, \(2\) blue ballgums, and \(1\) green ballgum.
If one ballgum is drawn at random, give the possible outcomes which is the probablity space
Solution.
\begin{gather*} S = \textbf{{Red, Blue, Green}} \end{gather*}
The sample space consists of three possible outcomes.

Exercises Exercises

1.

If a day of the week is randomly selected, what is the sample space for the chosen day?

2.

A restaurant offers three choices of main course: chicken, fish, or vegetarian. What is the sample space for the main course a customer might order?

3.

A traffic light can show green, yellow, or red. What is the sample space for the possible colors the traffic light can display?

4.

A store sells t-shirts in sizes small, medium, and large. What is the sample space for the t-shirt sizes sold?

5.

A person spins a spinner with sections labeled A, B, C, and D. What is the sample space for the outcome of the spin?

Checkpoint 3.2.5.

Checkpoint 3.2.6.