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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.
Compare your sample spaces
\({\color{black} \textbf{Key Takeaway}}\)
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 .