Lesson start ideas	Give a creative idea how to begin a lesson
Which subject	Mathematics
What age group	College
What topic	probability
Quantity	1
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Welcome to today's session on probability! Have you ever wondered how likely it is for your favorite sports team to win, or what the chances are of rolling a specific number in a game of dice? Probability helps us understand the likelihood or chance of events occurring.

Activity

Let's begin with a simple activity. Take a coin and flip it five times, noting down whether it landed on heads or tails. Now, let's discuss the probabilities of various outcomes – what is the probability of getting 5 heads in a row? What is the probability of getting 3 heads and 2 tails? The mathematics behind these probabilities is what we will be exploring today.

Theory

To understand probability, we first need to define the following terms:

• Event: A specific outcome that we are interested in.
• Sample Space: The set of all possible outcomes of an experiment.
• Probability: The chance of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

We will be exploring different methods of calculating probability, including the classical method, which uses the number of outcomes in the sample space, and the empirical method, which uses experimental data to estimate the probability of an event.

Conclusion

Probability plays a crucial role in fields such as statistics, economics, and finance. Understanding the math behind probability allows us to make informed decisions and predictions based on data. In our next session, we will delve deeper into the world of probability and explore some real-world applications.