1.3 Operations of Set Theory Definition:Let A and B be events on the same sample space: soAcΩand B CΩ. The union of events A and B is written AUB,and is given by AUB={s:s∈Aors∈B or both} The intersection of events A and B is written AnB and is given by A∩B={s:s∈A AND s∈B}. Definition:The complement of event A is written(or), and is given by 万={s:s年A} Examples: Experiment:Pick a person in this class at random. Sample space:fall people in class) Let event A=“person is male'”and event B=“person travelled by bike today”. Suppose I pick a male who did not travel by bike.Say whether the following events have occurred: 1)A2)B3)A 4)B 5)AB=female or bike rider or both) 6)0B={male and no biker 7)40B=(male and biker} 5125 5 / 25 1.3 Operations of Set Theory Definition: Let A and B be events on the same sample space Ω: so A ⊂ Ω and B ⊂ Ω. Definition: The complement of event A is written c A (or A ), and is given by Experiment: Pick a person in this class at random. Sample space: Ω = {all people in class}. Let event A =“person is male” and event B =“person travelled by bike today”. Suppose I pick a male who did not travel by bike. Say whether the following events have occurred: 1)A 2) B 3) A 4) B 5) A∪ B ={female or bike rider or both} 6) A∩ B ={male and no biker } 7) A∩ B ={male and biker }