We start the new chapter on Probability of Simple Events. Today we study the notation of set.<\/p>\n
We use the term set to mean a collection of well-defined distinct objects. The objects in a set are called elements or members. Note, a set only contains distinct elements, no duplicates, and the order in which the element appear is insignificant.<\/p>\n
Two sets A and A are equal, written as A = B, if they have exactly the same elements.<\/p>\n
If every element of a set A is also an element of a set B, then A is said to be a subset of B. And if A is a subset of B, but A is not equal to B, then A is said to be a proper subset of B.<\/p>\n
We define a universal set as an overall set of a particular problem when all sets for the problem are subsets of this set. Note, different problems may have different universal sets, and a problem can have more than one universal set.<\/p>\n
We also define the empty set which contains no elements and is a subset of any set.<\/p>\n
Last we define \u00a0the compliment of a set A as the set that contains elements that do not belong to the set A but belong to a universal set of A.<\/p>\n
Note, pretty everything we study is by definition, so it is important that students understand the definitions.<\/p>\n
Homework:<\/p>\n
Page 57, #1 – #6, #17 – #20.<\/p>\n
<\/p>\n
<\/p>\n","protected":false},"excerpt":{"rendered":"
We start the new chapter on Probability of Simple Events. Today we study the notation of set. We use the term set to mean a collection of well-defined distinct objects. The objects in a set are called elements or members. Note, a set only contains distinct elements, no duplicates, and the order in which the […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[4,3],"tags":[],"_links":{"self":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/781"}],"collection":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/comments?post=781"}],"version-history":[{"count":2,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/781\/revisions"}],"predecessor-version":[{"id":783,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/781\/revisions\/783"}],"wp:attachment":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/media?parent=781"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/categories?post=781"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/tags?post=781"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}