STA 2023 Lecture Notes - Lecture 10: Mutual Exclusivity, Venn Diagram, Florida Lottery
Document Summary
How can you determine the number of sample points when they run into the thousands or millions: we use counting rules. N factorial: type of multiplication, n! In scientific calculator: 7 2nd x! (above 3 key) = 5040. Combinations rule (order does not matter: choose a sample of size n without replacement from a set of n elements. Florida lotto pick 6 numbers from 53 different samples that can be selected is: ()= (cid:4666) (cid:4667)! (cid:888)! (cid:4666)(cid:887)(cid:885) (cid:888)(cid:4667)!= (cid:887)(cid:885)! (cid:887)(cid:885)! ((cid:887)(cid:885)(cid:888))= (cid:888)! (cid:4666)(cid:886)(cid:889)(cid:4667)! Unions and intersections: these are compound events they are formed by the composition of two or more other events. Intersection (a b) event that occurs if both a and b occur. Our experiment will consist of tossing a fair die once. Let b = getting a number greater than 4. A b = { 2, 4, 5, 6 }
