Probability and Combinatorics

Probability and Combinatorics

This subject equips students with techniques to predict results and tally diffrent arrangements. Here, psychology encourages ways of thinking and provides tools to understand situations that cannot always be explained logically. Many models related to statistics, game theory and decisions rely on probability.

Permutations

They work on determining the possible arrangements that meet the requirements of order. For example, n! (n factorial) allows them to count ordered sets quickly. Learning about permutations helps in tasks such as arranging people for a meal, designing codes and figuring out who won a contest.

Compound Events

Students explore cases where scenarios are created by the combination of two or more simple events. They determine the likelihood of certain events by following probability rules with the help of tree diagrams. As a result, students can investigate matters such as flipping a set of coins or selecting cards from a deck.

Activity Idea

Event Planner - Use cards or objects to calculate permutations and probability of combined events (e.g., outfits, meals).

Entertainment Activities

1. Permutations Game - Arrange objects and count possible orders.

2. Dice & Coin Toss - Calculate compound event probabilities.

3. Scenario Probability - Create simple compound event problems and solve them.