INTRODUCTION TO PROBABILITY Illustrating events, and union and intersection of events M10SPIIIf-1 LET’S RECALL: Name the following symbols. ∪ 2. ∩ 1. 3. { } or ∅ VENN DIAGRAM VENN DIAGRAM A = { L, O, V, E } B = { H, A, T, E } L H E O A E What are the elements of EVENT A? What are the elements of EVENT B? V T VENN DIAGRAM A = { L, O, V, E } B = { H, A, T, E } H L What are the elements common to EVENTS A and B? A E O V T What are the elements found in either EVENT A or EVENT B? TERMS: - is the measure of how likely something will occur/happen. EXAMPLE: What’s the probability of landing on a 3 when rolling a dice? TERMS: - is the measure of how likely something will occur/happen. EXAMPLE: What’s the probability of getting a head when tossing a coin? TERMS: - is the measure of how likely something will occur/happen. EXAMPLE: What’s the probability that it will not rain tomorrow? TERMS: - is the measure of how likely something will occur/happen. EXAMPLE: Ano ang chansa nga ikaw pillion ya, indi sya? TERMS: - is a situation involving a chance or probability that leads to result called outcome. rolling a dice picking a colored ball tossing a coin TERMS: - is the set of all outcomes in an experiment. Denoted by: S={ } EXPERIMENT: rolling a dice SAMPLE SPACE: S = { 1, 2, 3, 4, 5, 6} S={ } TERMS: - one or more outcomes in an experiment. EXPERIMENT: rolling a dice SAMPLE SPACE: S = { 1, 2, 3, 4, 5, 6} S={ } INTERSECTION OF TWO EVENTS INTERSECTION OF TWO EVENTS INTERSECTION ∩ symbol: “COMMON” “and” INTERSECTION OF TWO EVENTS Find the intersection of the following sets. What’s “COMMON” to both A and B? INTERSECTION OF TWO EVENTS INTERSECTION “COMMON” L H E O A E V T A B A ∩ B = _______ INTERSECTION OF TWO EVENTS H L A E O V T A B {E} A ∩ B = _______ PRACTICE: Find the intersection of the following sets. A ∩ B = { a, b} A ∩ B = { } or ∅ UNION OF TWO EVENTS UNION OF TWO EVENTS UNION ∪ symbol: “COMBINE” “or” UNION OF TWO EVENTS Find the union of the following sets. What elements are the elements in A, elements in B and “BOTH” in A and B. UNION “COMBINE” UNION OF TWO EVENTS UNION L “COMBINE” E O H A E V T A B A∪B={ , , , , , , } UNION OF TWO EVENTS H L A E O V A T B A∪B={ , , , , , , } UNION OF TWO EVENTS H L A E O V A T B A ∪ B = { L ,O,V, E,H,A, T} PRACTICE: Find the UNION of the following sets. PRACTICE! ACTIVITY 3 Find the intersection of the following sets. ACTIVITY 3 Find the union of the following sets.