Use the table, which shows the age groups of students in a...

Use the table, which shows the age groups of students in a college sociology class. $$\begin{array}{|c|c|} \hline \text { Age } & \text { Number of students } \\ \hline 18-19 & 11 \\ \hline 20-21 & 18 \\ \hline 22-30 & 2 \\ \hline 31-40 & 1 \\ \hline \end{array}$$ A student from the class is randomly chosen for a project. Find the probability that the student is the given age. 20 to 30 years old

Use the table, which shows the age groups of students in a college sociology class.
$$\begin{array}{|c|c|}
\hline \text { Age } & \text { Number of students } \\
\hline 18-19 & 11 \\
\hline 20-21 & 18 \\
\hline 22-30 & 2 \\
\hline 31-40 & 1 \\
\hline
\end{array}$$
A student from the class is randomly chosen for a project. Find the probability that the student is the given age.
20 to 30 years old

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Key Concepts

Random Selection

Random selection is the process where each member of a group has an equal chance of being chosen. It forms the basis for many probability calculations and ensures that the selection process is fair and unbiased.

Frequency Distribution

A frequency distribution organizes data into categories along with the number of occurrences in each category. This tabular representation is useful for summarizing data and serves as the foundation for calculating probabilities in a dataset.

Addition Rule of Probability

The addition rule of probability is used when combining the probabilities of mutually exclusive events, meaning events that cannot happen simultaneously. It states that the probability of the occurrence of at least one of several events is the sum of their individual probabilities.

Basic Probability Formula

The basic probability formula is the ratio of the number of favorable outcomes to the total number of possible outcomes. This fundamental principle is essential to calculating probabilities across a variety of contexts and ensures a systematic approach to determining likelihoods.

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