Counting and Probability in Sports
This page explores fundamental concepts in counting and probability through sports-related examples. The content covers tree diagrams, factorial calculations, and Venn diagram applications in real-world scenarios.
Definition: A tree diagram diagrammeenarbre is a visual representation showing all possible outcomes of a sequence of events.
Example: For three basketball shots, with options A and B, the tree diagram shows eight possible combinations: AAA, AAB, ABA, ABB, BAA, BAB, BBA, BBB.
Vocabulary: Factorielle de n represents the product of all positive integers less than or equal to n, written as n!
Highlight: The formula 2³ = 8 demonstrates the total number of possible outcomes for three basketball shots with two options.
Example: In a class of 20 students:
- 8 play basketball
- 10 play football
- 5 play both sports
- 8 students participate in other sports
Definition: A Venn diagram diagrammedeVenn is used to show relationships between different sets, in this case, students participating in different sports.
The page concludes with a practical problem-solving example using the Venn diagram to determine how many students participate in sports other than basketball and football.