Skip to main content

Subsection 3.2.1 Introduction to Probability

Activity 3.2.1.

\({\color{black} \textbf{Work in groups}}\)
Write down 3 events that could happen today (e.g., “It will rain” or “I will be late to school”)
Predict the probability of each event: \(\textbf{Is it likely, unlikely, or certain}\text{?}\)
\({\color{black} \textbf{Key Takeaway}}\)
\(\text{Probability}\) is the measure of how likely an event is to occur. It is expressed as a number between 0 and 1, where:
  • \(0\) means the event is impossible.
  • \(1\) means the event is certain.
  • A probability closer to \(1\) indicates a higher likelihood of the event occurring.
Probability is always between 0 and 1
\(\text{Probability Scale}\)
\({\color{black} \text{Key Terms in Probability}}\)
  • \(\text{Experiment}\) - A process that leads to a specific result.
  • \(\text{Outcome}\) - A possible result of an experiment.
  • \(\text{Event}\) - A collection of one or more outcomes.
  • \(\text{Sample Space (S)}\) - The set of all possible outcomes.
  • \(\text{Probability (P)}\) - A measure of how likely an event is to occur.
Probability is widely used in everyday life, including:
  • \(\text{Weather Forecasting}\) - Meteorologists predict the likelihood of rain based on past data.
  • \(\text{Sports}\) - Coaches analyze the probability of winning based on past performance.
  • \(\text{Medicine}\) - Doctors assess the probability of a patient responding to treatment.
  • \(\text{Finance and Insurance}\) - Insurance companies use probability to determine policy pricing.
  • \(\text{Games of Chance}\) - Dice rolling and card games use probability.

Checkpoint 3.2.1.

Checkpoint 3.2.2.