Theoretical Probability

Theoretical probability is the likelihood of an event happening based on all the possible outcomes. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Calculating Theoretical Probability

To calculate the theoretical probability of an event, you can use the following formula:

Probability (P) = Number of favorable outcomes / Total number of possible outcomes

Example

Let's say you have a standard six-sided die. The theoretical probability of rolling a 4 can be calculated as:

P(rolling a 4) = 1 (favorable outcome) / 6 (total possible outcomes) = 1/6 = 0.1667 or 16.67%

Study Guide

Here are some key points to remember about theoretical probability:

1. It is based on all the possible outcomes of an event.
2. The probability of an event happening is always between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
3. Theoretical probability can be used to predict the likelihood of an event occurring, but it does not guarantee the actual outcome.
4. The more trials or observations conducted, the closer the experimental probability will be to the theoretical probability.

Remember to practice calculating theoretical probabilities using different examples to reinforce your understanding of the concept.

Good luck with your studies!