Presentation on theme: "Unit 7: Probability Lesson 1"— Presentation transcript:
1Unit 7: Probability Lesson 1 Set NotationVenn DiagramsProbability Basics
2The Standard:MCC9-12.S.CP.1: Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).
3Learning TargetI can use set notation and represent a sample space using a lattice or a Venn Diagram.
4Vocabulary: Probability: the chance something will happen Sample Space: a set of all possible outcomesSet: contains an object or objects that are clearly identifiedElements (or members): the objects in a setUnion: contains all the elements in either or both setsIntersection: shows which elements sets have in commonComplement: the elements in the universal set that are not included in that setVenn Diagram: a visual way to see two or more variables
5Set Theory:A set s a collection of elements, such as objects or numbers. You can indicate a set by listing the elements in braces. If every element in a set also belongs to another set, then the first set is a subset of the second set. A set containing all the possible elements is called the universal set, denoted by the letter U. A set can have a complement, which includes the elements in the universal set which are not included in that set. The complement of a subset B is denoted by 𝑩 , read B bar or not B. The intersection of sets, shown by the symbol ∩, consists of only the elements that the two sets have in common. The union of sets, shown by the symbol ∪, consists of all the elements contained in either or both sets.
6Example: given a six-sided die, with the sides numbered 1,2,3,4,5, and 6. Identify the universal set:Identify the subset of even numbered sides:Identify the intersection of prime and even numbers:Identify the union of the subsets – odd and prime numbers: