Year 7 students can learn how theoretical probability works in real life by looking at different situations where they need to predict what will happen based on what they know.

What is Theoretical Probability?
Theoretical probability is the chance of something happening based on known information. We can figure it out by using a simple formula:

$$P(Event) = \frac{Number \, of \, Favorable \, Outcomes}{Total \, Number \, of \, Possible \, Outcomes}$$

This means we compare the number of good outcomes to the total number of all possible outcomes.

How Can We Use This in Real Life?

1. Games and Sports:
   Students can look at the chances of different results in games. For example, when rolling a six-sided die, the chance of rolling a 3 is:
   $P(3) = \frac{1}{6} \approx 16.67\%$
   This means there's about a 16.67% chance to roll a 3.

2. Weather Predictions:
   Theoretical probability can help us understand weather forecasts. If a weather report says there is a 70% chance of rain, it means that out of 100 days like this in the past, it rained on about 70 of them.

3. Surveys and Data Analysis:
   Students can use probability to guess how people might respond in surveys. If 40% of people prefer apples to oranges, the chance of picking someone who likes apples is:
   $P(Apples) = \frac{40}{100} = 0.4$ or 40%.
   This means there’s a 40% chance of finding an apple lover.

4. Insurance and Risk Assessment:
   Students can look at how insurance companies use theoretical probabilities to set prices. For example, if a certain accident happens one time out of every thousand cases, the chance of it happening is:
   $P(Accident) = \frac{1}{1000} = 0.001$ or 0.1%.
   So, there’s a very small chance of this accident occurring.

By taking part in these activities, Year 7 students can see how theoretical probability is a helpful tool for making decisions and understanding the world around them.